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#mathematicallogic — Public Fediverse posts

Live and recent posts from across the Fediverse tagged #mathematicallogic, aggregated by home.social.

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  1. MVspa_ Stochastic processes
    Стохастические процессы, Випадкові процеси
    #Stochastic processes
    #Стохастическиепроцессы, #Випадковіпроцеси
    t.me/scilib_yura15cbx/230

    MVsa Statistics and applications
    Статистика та додатки, Статистика и приложения
    #Statistics
    t.me/scilib_yura15cbx/229

    EM_ Mechanics of elastic materials
    Механіка пружних матеріалів, Механика упругих материалов
    t.me/scilib_yura15cbx/228

    MPd_ Dynamical systems
    Динамические системы, Динамічні системи
    #Dynamical systems
    t.me/scilib_yura15cbx/227

    MNw_ Wavelets, signal processing
    Вейвлети, обробка сигналів, Вейвлеты, обработка сигналов
    #Wavelets, #signal processing
    t.me/scilib_yura15cbx/226

    MNs_ Simulations of physics
    Физические симуляции
    t.me/scilib_yura15cbx/225

    MNl_ Numerical linear algebra
    Числова лінійна алгебра, Численная линейная алгебра
    t.me/scilib_yura15cbx/224

    MNf_ Finite elements
    Конечные элементы, Скінченні елементи
    t.me/scilib_yura15cbx/223

    MNd_ Numerical calculus
    t.me/scilib_yura15cbx/222

    MDgt_ General topology
    #topology
    Общая топология, Загальна топологія
    t.me/scilib_yura15cbx/221

    MDdg_ Differential geometry
    Диференціальна геометрія, Дифференциальная геометрия
    t.me/scilib_yura15cbx/220

    MDat_ Algebraic and differential topology
    Алгебраическая и дифференциальная топология, Алгебраїчна та диференціальна топологія
    t.me/scilib_yura15cbx/219

    MCv_ Variational calculus
    Варіаційне числення, Вариационное исчисление
    t.me/scilib_yura15cbx/218

    MCta_ Tensor calculus, forms
    Тензорное исчисление, формы, Тензорне числення, форми
    t.me/scilib_yura15cbx/217

    MCsf_ Special functions
    Спеціальні функції, Специальные функции
    t.me/scilib_yura15cbx/216

    MCf_ Functional analysis
    Функциональный анализ, Функціональний аналіз
    t.me/scilib_yura15cbx/215

    MCet_ Elementary calculus textbooks
    Підручники з елементарного числення, Учебники по элементарному исчислению
    t.me/scilib_yura15cbx/214

    MCde_ Differential equations
    Дифференциальные уравнения, Диференціальні рівняння
    #Differential equations
    t.me/scilib_yura15cbx/213

    MCcf_ Continued fractions
    Суцільні дроби, Непрерывные дроби
    t.me/scilib_yura15cbx/212

    MCc_ Complex variable
    Комплексная переменная, Комплексна змінна
    t.me/scilib_yura15cbx/211

    MCat_ Advanced calculus
    t.me/scilib_yura15cbx/210

    Asymptotics, perturbations
    Асимптотика, збурення,
    Асимптотика, возмущения
    #Asymptotics, #perturbations
    #Асимптотика, #збурення,
    #Асимптотика, #возмущения
    t.me/scilib_yura15cbx/209

    Group theory, Теория групп, Теорія груп
    #Group theory, #Теориягрупп, #Теоріягруп
    t.me/scilib_yura15cbx/208

    Algebra textbooks,
    Підручники з алгебри,
    Учебники по алгебре
    t.me/scilib_yura15cbx/207

    Set theory,
    Теория множеств, Теорія множин
    #Set theory,
    #Теория множеств,
    t.me/scilib_yura15cbx/206

    Representation theory
    Теорія репрезентації, Теория представлений
    t.me/scilib_yura15cbx/205

    Quantum groups
    #Quantum groups
    Квантовые группы, Квантові групи
    t.me/scilib_yura15cbx/204

    Mathematical logic
    #Mathematical logic
    Математична логіка, Математическая логика
    t.me/scilib_yura15cbx/203

    Linear algebra
    #Linear algebra
    Линейная алгебра, Лінійна алгебра
    t.me/scilib_yura15cbx/202

    Homology, Гомологія, Гомология
    #Homology, #Гомологія, #Гомология
    t.me/scilib_yura15cbx/201

    Algebraic geometry
    Алгебраическая геометрия, Алгебраїчна геометрія
    t.me/scilib_yura15cbx/200

    Algebraic geometry
    #Algebraic geometry
    Алгебраическая геометрия, Алгебраїчна геометрія
    t.me/scilib_yura15cbx/200

    Finite groups
    Скінченні групи, Конечные группы
    t.me/scilib_yura15cbx/199

    Differential algebra
    #Differential algebra
    Дифференциальная алгебра, Диференціальна алгебра
    t.me/scilib_yura15cbx/198

    Category theory
    Теорія категорій, Теория категорий

  2. MVspa_ Stochastic processes
    Стохастические процессы, Випадкові процеси
    #Stochastic processes
    #Стохастическиепроцессы, #Випадковіпроцеси
    t.me/scilib_yura15cbx/230

    MVsa Statistics and applications
    Статистика та додатки, Статистика и приложения
    #Statistics
    t.me/scilib_yura15cbx/229

    EM_ Mechanics of elastic materials
    Механіка пружних матеріалів, Механика упругих материалов
    t.me/scilib_yura15cbx/228

    MPd_ Dynamical systems
    Динамические системы, Динамічні системи
    #Dynamical systems
    t.me/scilib_yura15cbx/227

    MNw_ Wavelets, signal processing
    Вейвлети, обробка сигналів, Вейвлеты, обработка сигналов
    #Wavelets, #signal processing
    t.me/scilib_yura15cbx/226

    MNs_ Simulations of physics
    Физические симуляции
    t.me/scilib_yura15cbx/225

    MNl_ Numerical linear algebra
    Числова лінійна алгебра, Численная линейная алгебра
    t.me/scilib_yura15cbx/224

    MNf_ Finite elements
    Конечные элементы, Скінченні елементи
    t.me/scilib_yura15cbx/223

    MNd_ Numerical calculus
    t.me/scilib_yura15cbx/222

    MDgt_ General topology
    #topology
    Общая топология, Загальна топологія
    t.me/scilib_yura15cbx/221

    MDdg_ Differential geometry
    Диференціальна геометрія, Дифференциальная геометрия
    t.me/scilib_yura15cbx/220

    MDat_ Algebraic and differential topology
    Алгебраическая и дифференциальная топология, Алгебраїчна та диференціальна топологія
    t.me/scilib_yura15cbx/219

    MCv_ Variational calculus
    Варіаційне числення, Вариационное исчисление
    t.me/scilib_yura15cbx/218

    MCta_ Tensor calculus, forms
    Тензорное исчисление, формы, Тензорне числення, форми
    t.me/scilib_yura15cbx/217

    MCsf_ Special functions
    Спеціальні функції, Специальные функции
    t.me/scilib_yura15cbx/216

    MCf_ Functional analysis
    Функциональный анализ, Функціональний аналіз
    t.me/scilib_yura15cbx/215

    MCet_ Elementary calculus textbooks
    Підручники з елементарного числення, Учебники по элементарному исчислению
    t.me/scilib_yura15cbx/214

    MCde_ Differential equations
    Дифференциальные уравнения, Диференціальні рівняння
    #Differential equations
    t.me/scilib_yura15cbx/213

    MCcf_ Continued fractions
    Суцільні дроби, Непрерывные дроби
    t.me/scilib_yura15cbx/212

    MCc_ Complex variable
    Комплексная переменная, Комплексна змінна
    t.me/scilib_yura15cbx/211

    MCat_ Advanced calculus
    t.me/scilib_yura15cbx/210

    Asymptotics, perturbations
    Асимптотика, збурення,
    Асимптотика, возмущения
    #Asymptotics, #perturbations
    #Асимптотика, #збурення,
    #Асимптотика, #возмущения
    t.me/scilib_yura15cbx/209

    Group theory, Теория групп, Теорія груп
    #Group theory, #Теориягрупп, #Теоріягруп
    t.me/scilib_yura15cbx/208

    Algebra textbooks,
    Підручники з алгебри,
    Учебники по алгебре
    t.me/scilib_yura15cbx/207

    Set theory,
    Теория множеств, Теорія множин
    #Set theory,
    #Теория множеств,
    t.me/scilib_yura15cbx/206

    Representation theory
    Теорія репрезентації, Теория представлений
    t.me/scilib_yura15cbx/205

    Quantum groups
    #Quantum groups
    Квантовые группы, Квантові групи
    t.me/scilib_yura15cbx/204

    Mathematical logic
    #Mathematical logic
    Математична логіка, Математическая логика
    t.me/scilib_yura15cbx/203

    Linear algebra
    #Linear algebra
    Линейная алгебра, Лінійна алгебра
    t.me/scilib_yura15cbx/202

    Homology, Гомологія, Гомология
    #Homology, #Гомологія, #Гомология
    t.me/scilib_yura15cbx/201

    Algebraic geometry
    Алгебраическая геометрия, Алгебраїчна геометрія
    t.me/scilib_yura15cbx/200

    Algebraic geometry
    #Algebraic geometry
    Алгебраическая геометрия, Алгебраїчна геометрія
    t.me/scilib_yura15cbx/200

    Finite groups
    Скінченні групи, Конечные группы
    t.me/scilib_yura15cbx/199

    Differential algebra
    #Differential algebra
    Дифференциальная алгебра, Диференціальна алгебра
    t.me/scilib_yura15cbx/198

    Category theory
    Теорія категорій, Теория категорий

  3. MVspa_ Stochastic processes
    Стохастические процессы, Випадкові процеси
    #Stochastic processes
    #Стохастическиепроцессы, #Випадковіпроцеси
    t.me/scilib_yura15cbx/230

    MVsa Statistics and applications
    Статистика та додатки, Статистика и приложения
    #Statistics
    t.me/scilib_yura15cbx/229

    EM_ Mechanics of elastic materials
    Механіка пружних матеріалів, Механика упругих материалов
    t.me/scilib_yura15cbx/228

    MPd_ Dynamical systems
    Динамические системы, Динамічні системи
    #Dynamical systems
    t.me/scilib_yura15cbx/227

    MNw_ Wavelets, signal processing
    Вейвлети, обробка сигналів, Вейвлеты, обработка сигналов
    #Wavelets, #signal processing
    t.me/scilib_yura15cbx/226

    MNs_ Simulations of physics
    Физические симуляции
    t.me/scilib_yura15cbx/225

    MNl_ Numerical linear algebra
    Числова лінійна алгебра, Численная линейная алгебра
    t.me/scilib_yura15cbx/224

    MNf_ Finite elements
    Конечные элементы, Скінченні елементи
    t.me/scilib_yura15cbx/223

    MNd_ Numerical calculus
    t.me/scilib_yura15cbx/222

    MDgt_ General topology
    #topology
    Общая топология, Загальна топологія
    t.me/scilib_yura15cbx/221

    MDdg_ Differential geometry
    Диференціальна геометрія, Дифференциальная геометрия
    t.me/scilib_yura15cbx/220

    MDat_ Algebraic and differential topology
    Алгебраическая и дифференциальная топология, Алгебраїчна та диференціальна топологія
    t.me/scilib_yura15cbx/219

    MCv_ Variational calculus
    Варіаційне числення, Вариационное исчисление
    t.me/scilib_yura15cbx/218

    MCta_ Tensor calculus, forms
    Тензорное исчисление, формы, Тензорне числення, форми
    t.me/scilib_yura15cbx/217

    MCsf_ Special functions
    Спеціальні функції, Специальные функции
    t.me/scilib_yura15cbx/216

    MCf_ Functional analysis
    Функциональный анализ, Функціональний аналіз
    t.me/scilib_yura15cbx/215

    MCet_ Elementary calculus textbooks
    Підручники з елементарного числення, Учебники по элементарному исчислению
    t.me/scilib_yura15cbx/214

    MCde_ Differential equations
    Дифференциальные уравнения, Диференціальні рівняння
    #Differential equations
    t.me/scilib_yura15cbx/213

    MCcf_ Continued fractions
    Суцільні дроби, Непрерывные дроби
    t.me/scilib_yura15cbx/212

    MCc_ Complex variable
    Комплексная переменная, Комплексна змінна
    t.me/scilib_yura15cbx/211

    MCat_ Advanced calculus
    t.me/scilib_yura15cbx/210

    Asymptotics, perturbations
    Асимптотика, збурення,
    Асимптотика, возмущения
    #Asymptotics, #perturbations
    #Асимптотика, #збурення,
    #Асимптотика, #возмущения
    t.me/scilib_yura15cbx/209

    Group theory, Теория групп, Теорія груп
    #Group theory, #Теориягрупп, #Теоріягруп
    t.me/scilib_yura15cbx/208

    Algebra textbooks,
    Підручники з алгебри,
    Учебники по алгебре
    t.me/scilib_yura15cbx/207

    Set theory,
    Теория множеств, Теорія множин
    #Set theory,
    #Теория множеств,
    t.me/scilib_yura15cbx/206

    Representation theory
    Теорія репрезентації, Теория представлений
    t.me/scilib_yura15cbx/205

    Quantum groups
    #Quantum groups
    Квантовые группы, Квантові групи
    t.me/scilib_yura15cbx/204

    Mathematical logic
    #Mathematical logic
    Математична логіка, Математическая логика
    t.me/scilib_yura15cbx/203

    Linear algebra
    #Linear algebra
    Линейная алгебра, Лінійна алгебра
    t.me/scilib_yura15cbx/202

    Homology, Гомологія, Гомология
    #Homology, #Гомологія, #Гомология
    t.me/scilib_yura15cbx/201

    Algebraic geometry
    Алгебраическая геометрия, Алгебраїчна геометрія
    t.me/scilib_yura15cbx/200

    Algebraic geometry
    #Algebraic geometry
    Алгебраическая геометрия, Алгебраїчна геометрія
    t.me/scilib_yura15cbx/200

    Finite groups
    Скінченні групи, Конечные группы
    t.me/scilib_yura15cbx/199

    Differential algebra
    #Differential algebra
    Дифференциальная алгебра, Диференціальна алгебра
    t.me/scilib_yura15cbx/198

    Category theory
    Теорія категорій, Теория категорий

  4. MVspa_ Stochastic processes
    Стохастические процессы, Випадкові процеси
    #Stochastic processes
    #Стохастическиепроцессы, #Випадковіпроцеси
    t.me/scilib_yura15cbx/230

    MVsa Statistics and applications
    Статистика та додатки, Статистика и приложения
    #Statistics
    t.me/scilib_yura15cbx/229

    EM_ Mechanics of elastic materials
    Механіка пружних матеріалів, Механика упругих материалов
    t.me/scilib_yura15cbx/228

    MPd_ Dynamical systems
    Динамические системы, Динамічні системи
    #Dynamical systems
    t.me/scilib_yura15cbx/227

    MNw_ Wavelets, signal processing
    Вейвлети, обробка сигналів, Вейвлеты, обработка сигналов
    #Wavelets, #signal processing
    t.me/scilib_yura15cbx/226

    MNs_ Simulations of physics
    Физические симуляции
    t.me/scilib_yura15cbx/225

    MNl_ Numerical linear algebra
    Числова лінійна алгебра, Численная линейная алгебра
    t.me/scilib_yura15cbx/224

    MNf_ Finite elements
    Конечные элементы, Скінченні елементи
    t.me/scilib_yura15cbx/223

    MNd_ Numerical calculus
    t.me/scilib_yura15cbx/222

    MDgt_ General topology
    #topology
    Общая топология, Загальна топологія
    t.me/scilib_yura15cbx/221

    MDdg_ Differential geometry
    Диференціальна геометрія, Дифференциальная геометрия
    t.me/scilib_yura15cbx/220

    MDat_ Algebraic and differential topology
    Алгебраическая и дифференциальная топология, Алгебраїчна та диференціальна топологія
    t.me/scilib_yura15cbx/219

    MCv_ Variational calculus
    Варіаційне числення, Вариационное исчисление
    t.me/scilib_yura15cbx/218

    MCta_ Tensor calculus, forms
    Тензорное исчисление, формы, Тензорне числення, форми
    t.me/scilib_yura15cbx/217

    MCsf_ Special functions
    Спеціальні функції, Специальные функции
    t.me/scilib_yura15cbx/216

    MCf_ Functional analysis
    Функциональный анализ, Функціональний аналіз
    t.me/scilib_yura15cbx/215

    MCet_ Elementary calculus textbooks
    Підручники з елементарного числення, Учебники по элементарному исчислению
    t.me/scilib_yura15cbx/214

    MCde_ Differential equations
    Дифференциальные уравнения, Диференціальні рівняння
    #Differential equations
    t.me/scilib_yura15cbx/213

    MCcf_ Continued fractions
    Суцільні дроби, Непрерывные дроби
    t.me/scilib_yura15cbx/212

    MCc_ Complex variable
    Комплексная переменная, Комплексна змінна
    t.me/scilib_yura15cbx/211

    MCat_ Advanced calculus
    t.me/scilib_yura15cbx/210

    Asymptotics, perturbations
    Асимптотика, збурення,
    Асимптотика, возмущения
    #Asymptotics, #perturbations
    #Асимптотика, #збурення,
    #Асимптотика, #возмущения
    t.me/scilib_yura15cbx/209

    Group theory, Теория групп, Теорія груп
    #Group theory, #Теориягрупп, #Теоріягруп
    t.me/scilib_yura15cbx/208

    Algebra textbooks,
    Підручники з алгебри,
    Учебники по алгебре
    t.me/scilib_yura15cbx/207

    Set theory,
    Теория множеств, Теорія множин
    #Set theory,
    #Теория множеств,
    t.me/scilib_yura15cbx/206

    Representation theory
    Теорія репрезентації, Теория представлений
    t.me/scilib_yura15cbx/205

    Quantum groups
    #Quantum groups
    Квантовые группы, Квантові групи
    t.me/scilib_yura15cbx/204

    Mathematical logic
    #Mathematical logic
    Математична логіка, Математическая логика
    t.me/scilib_yura15cbx/203

    Linear algebra
    #Linear algebra
    Линейная алгебра, Лінійна алгебра
    t.me/scilib_yura15cbx/202

    Homology, Гомологія, Гомология
    #Homology, #Гомологія, #Гомология
    t.me/scilib_yura15cbx/201

    Algebraic geometry
    Алгебраическая геометрия, Алгебраїчна геометрія
    t.me/scilib_yura15cbx/200

    Algebraic geometry
    #Algebraic geometry
    Алгебраическая геометрия, Алгебраїчна геометрія
    t.me/scilib_yura15cbx/200

    Finite groups
    Скінченні групи, Конечные группы
    t.me/scilib_yura15cbx/199

    Differential algebra
    #Differential algebra
    Дифференциальная алгебра, Диференціальна алгебра
    t.me/scilib_yura15cbx/198

    Category theory
    Теорія категорій, Теория категорий

  5. MVspa_ Stochastic processes
    Стохастические процессы, Випадкові процеси
    #Stochastic processes
    #Стохастическиепроцессы, #Випадковіпроцеси
    t.me/scilib_yura15cbx/230

    MVsa Statistics and applications
    Статистика та додатки, Статистика и приложения
    #Statistics
    t.me/scilib_yura15cbx/229

    EM_ Mechanics of elastic materials
    Механіка пружних матеріалів, Механика упругих материалов
    t.me/scilib_yura15cbx/228

    MPd_ Dynamical systems
    Динамические системы, Динамічні системи
    #Dynamical systems
    t.me/scilib_yura15cbx/227

    MNw_ Wavelets, signal processing
    Вейвлети, обробка сигналів, Вейвлеты, обработка сигналов
    #Wavelets, #signal processing
    t.me/scilib_yura15cbx/226

    MNs_ Simulations of physics
    Физические симуляции
    t.me/scilib_yura15cbx/225

    MNl_ Numerical linear algebra
    Числова лінійна алгебра, Численная линейная алгебра
    t.me/scilib_yura15cbx/224

    MNf_ Finite elements
    Конечные элементы, Скінченні елементи
    t.me/scilib_yura15cbx/223

    MNd_ Numerical calculus
    t.me/scilib_yura15cbx/222

    MDgt_ General topology
    #topology
    Общая топология, Загальна топологія
    t.me/scilib_yura15cbx/221

    MDdg_ Differential geometry
    Диференціальна геометрія, Дифференциальная геометрия
    t.me/scilib_yura15cbx/220

    MDat_ Algebraic and differential topology
    Алгебраическая и дифференциальная топология, Алгебраїчна та диференціальна топологія
    t.me/scilib_yura15cbx/219

    MCv_ Variational calculus
    Варіаційне числення, Вариационное исчисление
    t.me/scilib_yura15cbx/218

    MCta_ Tensor calculus, forms
    Тензорное исчисление, формы, Тензорне числення, форми
    t.me/scilib_yura15cbx/217

    MCsf_ Special functions
    Спеціальні функції, Специальные функции
    t.me/scilib_yura15cbx/216

    MCf_ Functional analysis
    Функциональный анализ, Функціональний аналіз
    t.me/scilib_yura15cbx/215

    MCet_ Elementary calculus textbooks
    Підручники з елементарного числення, Учебники по элементарному исчислению
    t.me/scilib_yura15cbx/214

    MCde_ Differential equations
    Дифференциальные уравнения, Диференціальні рівняння
    #Differential equations
    t.me/scilib_yura15cbx/213

    MCcf_ Continued fractions
    Суцільні дроби, Непрерывные дроби
    t.me/scilib_yura15cbx/212

    MCc_ Complex variable
    Комплексная переменная, Комплексна змінна
    t.me/scilib_yura15cbx/211

    MCat_ Advanced calculus
    t.me/scilib_yura15cbx/210

    Asymptotics, perturbations
    Асимптотика, збурення,
    Асимптотика, возмущения
    #Asymptotics, #perturbations
    #Асимптотика, #збурення,
    #Асимптотика, #возмущения
    t.me/scilib_yura15cbx/209

    Group theory, Теория групп, Теорія груп
    #Group theory, #Теориягрупп, #Теоріягруп
    t.me/scilib_yura15cbx/208

    Algebra textbooks,
    Підручники з алгебри,
    Учебники по алгебре
    t.me/scilib_yura15cbx/207

    Set theory,
    Теория множеств, Теорія множин
    #Set theory,
    #Теория множеств,
    t.me/scilib_yura15cbx/206

    Representation theory
    Теорія репрезентації, Теория представлений
    t.me/scilib_yura15cbx/205

    Quantum groups
    #Quantum groups
    Квантовые группы, Квантові групи
    t.me/scilib_yura15cbx/204

    Mathematical logic
    #Mathematical logic
    Математична логіка, Математическая логика
    t.me/scilib_yura15cbx/203

    Linear algebra
    #Linear algebra
    Линейная алгебра, Лінійна алгебра
    t.me/scilib_yura15cbx/202

    Homology, Гомологія, Гомология
    #Homology, #Гомологія, #Гомология
    t.me/scilib_yura15cbx/201

    Algebraic geometry
    Алгебраическая геометрия, Алгебраїчна геометрія
    t.me/scilib_yura15cbx/200

    Algebraic geometry
    #Algebraic geometry
    Алгебраическая геометрия, Алгебраїчна геометрія
    t.me/scilib_yura15cbx/200

    Finite groups
    Скінченні групи, Конечные группы
    t.me/scilib_yura15cbx/199

    Differential algebra
    #Differential algebra
    Дифференциальная алгебра, Диференціальна алгебра
    t.me/scilib_yura15cbx/198

    Category theory
    Теорія категорій, Теория категорий

  6. MVspa_ Stochastic processes
    Стохастические процессы, Випадкові процеси
    #Stochastic processes
    #Стохастическиепроцессы, #Випадковіпроцеси
    t.me/scilib_yura15cbx/230

    MVsa Statistics and applications
    Статистика та додатки, Статистика и приложения
    #Statistics
    t.me/scilib_yura15cbx/229

    EM_ Mechanics of elastic materials
    Механіка пружних матеріалів, Механика упругих материалов
    t.me/scilib_yura15cbx/228

    MPd_ Dynamical systems
    Динамические системы, Динамічні системи
    #Dynamical systems
    t.me/scilib_yura15cbx/227

    MNw_ Wavelets, signal processing
    Вейвлети, обробка сигналів, Вейвлеты, обработка сигналов
    #Wavelets, #signal processing
    t.me/scilib_yura15cbx/226

    MNs_ Simulations of physics
    Физические симуляции
    t.me/scilib_yura15cbx/225

    MNl_ Numerical linear algebra
    Числова лінійна алгебра, Численная линейная алгебра
    t.me/scilib_yura15cbx/224

    MNf_ Finite elements
    Конечные элементы, Скінченні елементи
    t.me/scilib_yura15cbx/223

    MNd_ Numerical calculus
    t.me/scilib_yura15cbx/222

    MDgt_ General topology
    #topology
    Общая топология, Загальна топологія
    t.me/scilib_yura15cbx/221

    MDdg_ Differential geometry
    Диференціальна геометрія, Дифференциальная геометрия
    t.me/scilib_yura15cbx/220

    MDat_ Algebraic and differential topology
    Алгебраическая и дифференциальная топология, Алгебраїчна та диференціальна топологія
    t.me/scilib_yura15cbx/219

    MCv_ Variational calculus
    Варіаційне числення, Вариационное исчисление
    t.me/scilib_yura15cbx/218

    MCta_ Tensor calculus, forms
    Тензорное исчисление, формы, Тензорне числення, форми
    t.me/scilib_yura15cbx/217

    MCsf_ Special functions
    Спеціальні функції, Специальные функции
    t.me/scilib_yura15cbx/216

    MCf_ Functional analysis
    Функциональный анализ, Функціональний аналіз
    t.me/scilib_yura15cbx/215

    MCet_ Elementary calculus textbooks
    Підручники з елементарного числення, Учебники по элементарному исчислению
    t.me/scilib_yura15cbx/214

    MCde_ Differential equations
    Дифференциальные уравнения, Диференціальні рівняння
    #Differential equations
    t.me/scilib_yura15cbx/213

    MCcf_ Continued fractions
    Суцільні дроби, Непрерывные дроби
    t.me/scilib_yura15cbx/212

    MCc_ Complex variable
    Комплексная переменная, Комплексна змінна
    t.me/scilib_yura15cbx/211

    MCat_ Advanced calculus
    t.me/scilib_yura15cbx/210

    Asymptotics, perturbations
    Асимптотика, збурення,
    Асимптотика, возмущения
    #Asymptotics, #perturbations
    #Асимптотика, #збурення,
    #Асимптотика, #возмущения
    t.me/scilib_yura15cbx/209

    Group theory, Теория групп, Теорія груп
    #Group theory, #Теориягрупп, #Теоріягруп
    t.me/scilib_yura15cbx/208

    Algebra textbooks,
    Підручники з алгебри,
    Учебники по алгебре
    t.me/scilib_yura15cbx/207

    Set theory,
    Теория множеств, Теорія множин
    #Set theory,
    #Теория множеств,
    t.me/scilib_yura15cbx/206

    Representation theory
    Теорія репрезентації, Теория представлений
    t.me/scilib_yura15cbx/205

    Quantum groups
    #Quantum groups
    Квантовые группы, Квантові групи
    t.me/scilib_yura15cbx/204

    Mathematical logic
    #Mathematical logic
    Математична логіка, Математическая логика
    t.me/scilib_yura15cbx/203

    Linear algebra
    #Linear algebra
    Линейная алгебра, Лінійна алгебра
    t.me/scilib_yura15cbx/202

    Homology, Гомологія, Гомология
    #Homology, #Гомологія, #Гомология
    t.me/scilib_yura15cbx/201

    Algebraic geometry
    Алгебраическая геометрия, Алгебраїчна геометрія
    t.me/scilib_yura15cbx/200

    Algebraic geometry
    #Algebraic geometry
    Алгебраическая геометрия, Алгебраїчна геометрія
    t.me/scilib_yura15cbx/200

    Finite groups
    Скінченні групи, Конечные группы
    t.me/scilib_yura15cbx/199

    Differential algebra
    #Differential algebra
    Дифференциальная алгебра, Диференціальна алгебра
    t.me/scilib_yura15cbx/198

    Category theory
    Теорія категорій, Теория категорий

  7. MVspa_ Stochastic processes
    Стохастические процессы, Випадкові процеси
    #Stochastic processes
    #Стохастическиепроцессы, #Випадковіпроцеси
    t.me/scilib_yura15cbx/230

    MVsa Statistics and applications
    Статистика та додатки, Статистика и приложения
    #Statistics
    t.me/scilib_yura15cbx/229

    EM_ Mechanics of elastic materials
    Механіка пружних матеріалів, Механика упругих материалов
    t.me/scilib_yura15cbx/228

    MPd_ Dynamical systems
    Динамические системы, Динамічні системи
    #Dynamical systems
    t.me/scilib_yura15cbx/227

    MNw_ Wavelets, signal processing
    Вейвлети, обробка сигналів, Вейвлеты, обработка сигналов
    #Wavelets, #signal processing
    t.me/scilib_yura15cbx/226

    MNs_ Simulations of physics
    Физические симуляции
    t.me/scilib_yura15cbx/225

    MNl_ Numerical linear algebra
    Числова лінійна алгебра, Численная линейная алгебра
    t.me/scilib_yura15cbx/224

    MNf_ Finite elements
    Конечные элементы, Скінченні елементи
    t.me/scilib_yura15cbx/223

    MNd_ Numerical calculus
    t.me/scilib_yura15cbx/222

    MDgt_ General topology
    #topology
    Общая топология, Загальна топологія
    t.me/scilib_yura15cbx/221

    MDdg_ Differential geometry
    Диференціальна геометрія, Дифференциальная геометрия
    t.me/scilib_yura15cbx/220

    MDat_ Algebraic and differential topology
    Алгебраическая и дифференциальная топология, Алгебраїчна та диференціальна топологія
    t.me/scilib_yura15cbx/219

    MCv_ Variational calculus
    Варіаційне числення, Вариационное исчисление
    t.me/scilib_yura15cbx/218

    MCta_ Tensor calculus, forms
    Тензорное исчисление, формы, Тензорне числення, форми
    t.me/scilib_yura15cbx/217

    MCsf_ Special functions
    Спеціальні функції, Специальные функции
    t.me/scilib_yura15cbx/216

    MCf_ Functional analysis
    Функциональный анализ, Функціональний аналіз
    t.me/scilib_yura15cbx/215

    MCet_ Elementary calculus textbooks
    Підручники з елементарного числення, Учебники по элементарному исчислению
    t.me/scilib_yura15cbx/214

    MCde_ Differential equations
    Дифференциальные уравнения, Диференціальні рівняння
    #Differential equations
    t.me/scilib_yura15cbx/213

    MCcf_ Continued fractions
    Суцільні дроби, Непрерывные дроби
    t.me/scilib_yura15cbx/212

    MCc_ Complex variable
    Комплексная переменная, Комплексна змінна
    t.me/scilib_yura15cbx/211

    MCat_ Advanced calculus
    t.me/scilib_yura15cbx/210

    Asymptotics, perturbations
    Асимптотика, збурення,
    Асимптотика, возмущения
    #Asymptotics, #perturbations
    #Асимптотика, #збурення,
    #Асимптотика, #возмущения
    t.me/scilib_yura15cbx/209

    Group theory, Теория групп, Теорія груп
    #Group theory, #Теориягрупп, #Теоріягруп
    t.me/scilib_yura15cbx/208

    Algebra textbooks,
    Підручники з алгебри,
    Учебники по алгебре
    t.me/scilib_yura15cbx/207

    Set theory,
    Теория множеств, Теорія множин
    #Set theory,
    #Теория множеств,
    t.me/scilib_yura15cbx/206

    Representation theory
    Теорія репрезентації, Теория представлений
    t.me/scilib_yura15cbx/205

    Quantum groups
    #Quantum groups
    Квантовые группы, Квантові групи
    t.me/scilib_yura15cbx/204

    Mathematical logic
    #Mathematical logic
    Математична логіка, Математическая логика
    t.me/scilib_yura15cbx/203

    Linear algebra
    #Linear algebra
    Линейная алгебра, Лінійна алгебра
    t.me/scilib_yura15cbx/202

    Homology, Гомологія, Гомология
    #Homology, #Гомологія, #Гомология
    t.me/scilib_yura15cbx/201

    Algebraic geometry
    Алгебраическая геометрия, Алгебраїчна геометрія
    t.me/scilib_yura15cbx/200

    Algebraic geometry
    #Algebraic geometry
    Алгебраическая геометрия, Алгебраїчна геометрія
    t.me/scilib_yura15cbx/200

    Finite groups
    Скінченні групи, Конечные группы
    t.me/scilib_yura15cbx/199

    Differential algebra
    #Differential algebra
    Дифференциальная алгебра, Диференціальна алгебра
    t.me/scilib_yura15cbx/198

    Category theory
    Теорія категорій, Теория категорий

  8. MVspa_ Stochastic processes
    Стохастические процессы, Випадкові процеси
    #Stochastic processes
    #Стохастическиепроцессы, #Випадковіпроцеси
    t.me/scilib_yura15cbx/230

    MVsa Statistics and applications
    Статистика та додатки, Статистика и приложения
    #Statistics
    t.me/scilib_yura15cbx/229

    EM_ Mechanics of elastic materials
    Механіка пружних матеріалів, Механика упругих материалов
    t.me/scilib_yura15cbx/228

    MPd_ Dynamical systems
    Динамические системы, Динамічні системи
    #Dynamical systems
    t.me/scilib_yura15cbx/227

    MNw_ Wavelets, signal processing
    Вейвлети, обробка сигналів, Вейвлеты, обработка сигналов
    #Wavelets, #signal processing
    t.me/scilib_yura15cbx/226

    MNs_ Simulations of physics
    Физические симуляции
    t.me/scilib_yura15cbx/225

    MNl_ Numerical linear algebra
    Числова лінійна алгебра, Численная линейная алгебра
    t.me/scilib_yura15cbx/224

    MNf_ Finite elements
    Конечные элементы, Скінченні елементи
    t.me/scilib_yura15cbx/223

    MNd_ Numerical calculus
    t.me/scilib_yura15cbx/222

    MDgt_ General topology
    #topology
    Общая топология, Загальна топологія
    t.me/scilib_yura15cbx/221

    MDdg_ Differential geometry
    Диференціальна геометрія, Дифференциальная геометрия
    t.me/scilib_yura15cbx/220

    MDat_ Algebraic and differential topology
    Алгебраическая и дифференциальная топология, Алгебраїчна та диференціальна топологія
    t.me/scilib_yura15cbx/219

    MCv_ Variational calculus
    Варіаційне числення, Вариационное исчисление
    t.me/scilib_yura15cbx/218

    MCta_ Tensor calculus, forms
    Тензорное исчисление, формы, Тензорне числення, форми
    t.me/scilib_yura15cbx/217

    MCsf_ Special functions
    Спеціальні функції, Специальные функции
    t.me/scilib_yura15cbx/216

    MCf_ Functional analysis
    Функциональный анализ, Функціональний аналіз
    t.me/scilib_yura15cbx/215

    MCet_ Elementary calculus textbooks
    Підручники з елементарного числення, Учебники по элементарному исчислению
    t.me/scilib_yura15cbx/214

    MCde_ Differential equations
    Дифференциальные уравнения, Диференціальні рівняння
    #Differential equations
    t.me/scilib_yura15cbx/213

    MCcf_ Continued fractions
    Суцільні дроби, Непрерывные дроби
    t.me/scilib_yura15cbx/212

    MCc_ Complex variable
    Комплексная переменная, Комплексна змінна
    t.me/scilib_yura15cbx/211

    MCat_ Advanced calculus
    t.me/scilib_yura15cbx/210

    Asymptotics, perturbations
    Асимптотика, збурення,
    Асимптотика, возмущения
    #Asymptotics, #perturbations
    #Асимптотика, #збурення,
    #Асимптотика, #возмущения
    t.me/scilib_yura15cbx/209

    Group theory, Теория групп, Теорія груп
    #Group theory, #Теориягрупп, #Теоріягруп
    t.me/scilib_yura15cbx/208

    Algebra textbooks,
    Підручники з алгебри,
    Учебники по алгебре
    t.me/scilib_yura15cbx/207

    Set theory,
    Теория множеств, Теорія множин
    #Set theory,
    #Теория множеств,
    t.me/scilib_yura15cbx/206

    Representation theory
    Теорія репрезентації, Теория представлений
    t.me/scilib_yura15cbx/205

    Quantum groups
    #Quantum groups
    Квантовые группы, Квантові групи
    t.me/scilib_yura15cbx/204

    Mathematical logic
    #Mathematical logic
    Математична логіка, Математическая логика
    t.me/scilib_yura15cbx/203

    Linear algebra
    #Linear algebra
    Линейная алгебра, Лінійна алгебра
    t.me/scilib_yura15cbx/202

    Homology, Гомологія, Гомология
    #Homology, #Гомологія, #Гомология
    t.me/scilib_yura15cbx/201

    Algebraic geometry
    Алгебраическая геометрия, Алгебраїчна геометрія
    t.me/scilib_yura15cbx/200

    Algebraic geometry
    #Algebraic geometry
    Алгебраическая геометрия, Алгебраїчна геометрія
    t.me/scilib_yura15cbx/200

    Finite groups
    Скінченні групи, Конечные группы
    t.me/scilib_yura15cbx/199

    Differential algebra
    #Differential algebra
    Дифференциальная алгебра, Диференціальна алгебра
    t.me/scilib_yura15cbx/198

    Category theory
    Теорія категорій, Теория категорий

  9. MVspa_ Stochastic processes
    Стохастические процессы, Випадкові процеси
    #Stochastic processes
    #Стохастическиепроцессы, #Випадковіпроцеси
    t.me/scilib_yura15cbx/230

    MVsa Statistics and applications
    Статистика та додатки, Статистика и приложения
    #Statistics
    t.me/scilib_yura15cbx/229

    EM_ Mechanics of elastic materials
    Механіка пружних матеріалів, Механика упругих материалов
    t.me/scilib_yura15cbx/228

    MPd_ Dynamical systems
    Динамические системы, Динамічні системи
    #Dynamical systems
    t.me/scilib_yura15cbx/227

    MNw_ Wavelets, signal processing
    Вейвлети, обробка сигналів, Вейвлеты, обработка сигналов
    #Wavelets, #signal processing
    t.me/scilib_yura15cbx/226

    MNs_ Simulations of physics
    Физические симуляции
    t.me/scilib_yura15cbx/225

    MNl_ Numerical linear algebra
    Числова лінійна алгебра, Численная линейная алгебра
    t.me/scilib_yura15cbx/224

    MNf_ Finite elements
    Конечные элементы, Скінченні елементи
    t.me/scilib_yura15cbx/223

    MNd_ Numerical calculus
    t.me/scilib_yura15cbx/222

    MDgt_ General topology
    #topology
    Общая топология, Загальна топологія
    t.me/scilib_yura15cbx/221

    MDdg_ Differential geometry
    Диференціальна геометрія, Дифференциальная геометрия
    t.me/scilib_yura15cbx/220

    MDat_ Algebraic and differential topology
    Алгебраическая и дифференциальная топология, Алгебраїчна та диференціальна топологія
    t.me/scilib_yura15cbx/219

    MCv_ Variational calculus
    Варіаційне числення, Вариационное исчисление
    t.me/scilib_yura15cbx/218

    MCta_ Tensor calculus, forms
    Тензорное исчисление, формы, Тензорне числення, форми
    t.me/scilib_yura15cbx/217

    MCsf_ Special functions
    Спеціальні функції, Специальные функции
    t.me/scilib_yura15cbx/216

    MCf_ Functional analysis
    Функциональный анализ, Функціональний аналіз
    t.me/scilib_yura15cbx/215

    MCet_ Elementary calculus textbooks
    Підручники з елементарного числення, Учебники по элементарному исчислению
    t.me/scilib_yura15cbx/214

    MCde_ Differential equations
    Дифференциальные уравнения, Диференціальні рівняння
    #Differential equations
    t.me/scilib_yura15cbx/213

    MCcf_ Continued fractions
    Суцільні дроби, Непрерывные дроби
    t.me/scilib_yura15cbx/212

    MCc_ Complex variable
    Комплексная переменная, Комплексна змінна
    t.me/scilib_yura15cbx/211

    MCat_ Advanced calculus
    t.me/scilib_yura15cbx/210

    Asymptotics, perturbations
    Асимптотика, збурення,
    Асимптотика, возмущения
    #Asymptotics, #perturbations
    #Асимптотика, #збурення,
    #Асимптотика, #возмущения
    t.me/scilib_yura15cbx/209

    Group theory, Теория групп, Теорія груп
    #Group theory, #Теориягрупп, #Теоріягруп
    t.me/scilib_yura15cbx/208

    Algebra textbooks,
    Підручники з алгебри,
    Учебники по алгебре
    t.me/scilib_yura15cbx/207

    Set theory,
    Теория множеств, Теорія множин
    #Set theory,
    #Теория множеств,
    t.me/scilib_yura15cbx/206

    Representation theory
    Теорія репрезентації, Теория представлений
    t.me/scilib_yura15cbx/205

    Quantum groups
    #Quantum groups
    Квантовые группы, Квантові групи
    t.me/scilib_yura15cbx/204

    Mathematical logic
    #Mathematical logic
    Математична логіка, Математическая логика
    t.me/scilib_yura15cbx/203

    Linear algebra
    #Linear algebra
    Линейная алгебра, Лінійна алгебра
    t.me/scilib_yura15cbx/202

    Homology, Гомологія, Гомология
    #Homology, #Гомологія, #Гомология
    t.me/scilib_yura15cbx/201

    Algebraic geometry
    Алгебраическая геометрия, Алгебраїчна геометрія
    t.me/scilib_yura15cbx/200

    Algebraic geometry
    #Algebraic geometry
    Алгебраическая геометрия, Алгебраїчна геометрія
    t.me/scilib_yura15cbx/200

    Finite groups
    Скінченні групи, Конечные группы
    t.me/scilib_yura15cbx/199

    Differential algebra
    #Differential algebra
    Дифференциальная алгебра, Диференціальна алгебра
    t.me/scilib_yura15cbx/198

    Category theory
    Теорія категорій, Теория категорий

  10. MVspa_ Stochastic processes
    Стохастические процессы, Випадкові процеси
    #Stochastic processes
    #Стохастическиепроцессы, #Випадковіпроцеси
    t.me/scilib_yura15cbx/230

    MVsa Statistics and applications
    Статистика та додатки, Статистика и приложения
    #Statistics
    t.me/scilib_yura15cbx/229

    EM_ Mechanics of elastic materials
    Механіка пружних матеріалів, Механика упругих материалов
    t.me/scilib_yura15cbx/228

    MPd_ Dynamical systems
    Динамические системы, Динамічні системи
    #Dynamical systems
    t.me/scilib_yura15cbx/227

    MNw_ Wavelets, signal processing
    Вейвлети, обробка сигналів, Вейвлеты, обработка сигналов
    #Wavelets, #signal processing
    t.me/scilib_yura15cbx/226

    MNs_ Simulations of physics
    Физические симуляции
    t.me/scilib_yura15cbx/225

    MNl_ Numerical linear algebra
    Числова лінійна алгебра, Численная линейная алгебра
    t.me/scilib_yura15cbx/224

    MNf_ Finite elements
    Конечные элементы, Скінченні елементи
    t.me/scilib_yura15cbx/223

    MNd_ Numerical calculus
    t.me/scilib_yura15cbx/222

    MDgt_ General topology
    #topology
    Общая топология, Загальна топологія
    t.me/scilib_yura15cbx/221

    MDdg_ Differential geometry
    Диференціальна геометрія, Дифференциальная геометрия
    t.me/scilib_yura15cbx/220

    MDat_ Algebraic and differential topology
    Алгебраическая и дифференциальная топология, Алгебраїчна та диференціальна топологія
    t.me/scilib_yura15cbx/219

    MCv_ Variational calculus
    Варіаційне числення, Вариационное исчисление
    t.me/scilib_yura15cbx/218

    MCta_ Tensor calculus, forms
    Тензорное исчисление, формы, Тензорне числення, форми
    t.me/scilib_yura15cbx/217

    MCsf_ Special functions
    Спеціальні функції, Специальные функции
    t.me/scilib_yura15cbx/216

    MCf_ Functional analysis
    Функциональный анализ, Функціональний аналіз
    t.me/scilib_yura15cbx/215

    MCet_ Elementary calculus textbooks
    Підручники з елементарного числення, Учебники по элементарному исчислению
    t.me/scilib_yura15cbx/214

    MCde_ Differential equations
    Дифференциальные уравнения, Диференціальні рівняння
    #Differential equations
    t.me/scilib_yura15cbx/213

    MCcf_ Continued fractions
    Суцільні дроби, Непрерывные дроби
    t.me/scilib_yura15cbx/212

    MCc_ Complex variable
    Комплексная переменная, Комплексна змінна
    t.me/scilib_yura15cbx/211

    MCat_ Advanced calculus
    t.me/scilib_yura15cbx/210

    Asymptotics, perturbations
    Асимптотика, збурення,
    Асимптотика, возмущения
    #Asymptotics, #perturbations
    #Асимптотика, #збурення,
    #Асимптотика, #возмущения
    t.me/scilib_yura15cbx/209

    Group theory, Теория групп, Теорія груп
    #Group theory, #Теориягрупп, #Теоріягруп
    t.me/scilib_yura15cbx/208

    Algebra textbooks,
    Підручники з алгебри,
    Учебники по алгебре
    t.me/scilib_yura15cbx/207

    Set theory,
    Теория множеств, Теорія множин
    #Set theory,
    #Теория множеств,
    t.me/scilib_yura15cbx/206

    Representation theory
    Теорія репрезентації, Теория представлений
    t.me/scilib_yura15cbx/205

    Quantum groups
    #Quantum groups
    Квантовые группы, Квантові групи
    t.me/scilib_yura15cbx/204

    Mathematical logic
    #Mathematical logic
    Математична логіка, Математическая логика
    t.me/scilib_yura15cbx/203

    Linear algebra
    #Linear algebra
    Линейная алгебра, Лінійна алгебра
    t.me/scilib_yura15cbx/202

    Homology, Гомологія, Гомология
    #Homology, #Гомологія, #Гомология
    t.me/scilib_yura15cbx/201

    Algebraic geometry
    Алгебраическая геометрия, Алгебраїчна геометрія
    t.me/scilib_yura15cbx/200

    Algebraic geometry
    #Algebraic geometry
    Алгебраическая геометрия, Алгебраїчна геометрія
    t.me/scilib_yura15cbx/200

    Finite groups
    Скінченні групи, Конечные группы
    t.me/scilib_yura15cbx/199

    Differential algebra
    #Differential algebra
    Дифференциальная алгебра, Диференціальна алгебра
    t.me/scilib_yura15cbx/198

    Category theory
    Теорія категорій, Теория категорий

  11. In the mountains, I love exploring nature and climbing any little hidden corner.

    My academic interests include mathematics (#mathematics) and mathematical logic ( #mathematicallogic #logic), particularly model theory ( #modeltheory), category theory ( #categorytheory), higher-order logic and metalogic ( #metalogic), as well as the philosophy of mathematics and logic ( #philosophyofmathematics #philosophyoflogic), epistemology and ontology of them.

    #introduction

  12. In the mountains, I love exploring nature and climbing any little hidden corner.

    My academic interests include mathematics (#mathematics) and mathematical logic ( #mathematicallogic #logic), particularly model theory ( #modeltheory), category theory ( #categorytheory), higher-order logic and metalogic ( #metalogic), as well as the philosophy of mathematics and logic ( #philosophyofmathematics #philosophyoflogic), epistemology and ontology of them.

    #introduction

  13. In the mountains, I love exploring nature and climbing any little hidden corner.

    My academic interests include mathematics (#mathematics) and mathematical logic ( #mathematicallogic #logic), particularly model theory ( #modeltheory), category theory ( #categorytheory), higher-order logic and metalogic ( #metalogic), as well as the philosophy of mathematics and logic ( #philosophyofmathematics #philosophyoflogic), epistemology and ontology of them.

    #introduction

  14. In the mountains, I love exploring nature and climbing any little hidden corner.

    My academic interests include mathematics ( #mathematics) and mathematical logic ( #mathematicallogic #logic), particularly model theory ( #modeltheory), category theory ( #categorytheory), higher-order logic and metalogic ( #metalogic), as well as the philosophy of mathematics and logic ( #philosophyofmathematics #philosophyoflogic), epistemology and ontology of them.

    #introduction

  15. In the mountains, I love exploring nature and climbing any little hidden corner.

    My academic interests include mathematics ( #mathematics) and mathematical logic ( #mathematicallogic #logic), particularly model theory ( #modeltheory), category theory ( #categorytheory), higher-order logic and metalogic ( #metalogic), as well as the philosophy of mathematics and logic ( #philosophyofmathematics #philosophyoflogic), epistemology and ontology of them.

    #introduction

  16. Hi,

    I'm an associate professor at Department of Engineering, University of Fukui. I'm interested in theoretical computer science, software engineering, mathematical logic, also related philosophical topics. If you want to study in Fukui, please let me know.

    My recent papers:

    Mathematics:
    Beckmann, A., & Yamagata, Y. (2025). On proving consistency of equational theories in bounded arithmetic. The Journal of Symbolic Logic

    Theoretical Computer Science:
    Ikeda, M., Yamagata, Y., & Kihara, T. (2024). On the Metric Temporal Logic for Continuous Stochastic Processes. Logical Methods in Computer Science,

    Software Engineering:
    Yamagata, Y., Liu, S., Akazaki, T., Duan, Y., & Hao, J. (2020). Falsification of cyber-physical systems using deep reinforcement learning. IEEE Transactions on Software Engineering

    Philosophy:
    Suzuki, U., & Yamagata, Y. (2023). Notion of validity for the bilateral classical logic. arXiv preprint arXiv:2310.13376.

    #Logic #MathematicalLogic #BoundedArithmetic #SoftwareEngineering
    #Philosophy
    #PhilosophicalLogic
    #PhilosophyOfLanguage

  17. Hi,

    I'm an associate professor at Department of Engineering, University of Fukui. I'm interested in theoretical computer science, software engineering, mathematical logic, also related philosophical topics. If you want to study in Fukui, please let me know.

    My recent papers:

    Mathematics:
    Beckmann, A., & Yamagata, Y. (2025). On proving consistency of equational theories in bounded arithmetic. The Journal of Symbolic Logic

    Theoretical Computer Science:
    Ikeda, M., Yamagata, Y., & Kihara, T. (2024). On the Metric Temporal Logic for Continuous Stochastic Processes. Logical Methods in Computer Science,

    Software Engineering:
    Yamagata, Y., Liu, S., Akazaki, T., Duan, Y., & Hao, J. (2020). Falsification of cyber-physical systems using deep reinforcement learning. IEEE Transactions on Software Engineering

    Philosophy:
    Suzuki, U., & Yamagata, Y. (2023). Notion of validity for the bilateral classical logic. arXiv preprint arXiv:2310.13376.

    #Logic #MathematicalLogic #BoundedArithmetic #SoftwareEngineering
    #Philosophy
    #PhilosophicalLogic
    #PhilosophyOfLanguage

  18. Hi,

    I'm an associate professor at Department of Engineering, University of Fukui. I'm interested in theoretical computer science, software engineering, mathematical logic, also related philosophical topics. If you want to study in Fukui, please let me know.

    My recent papers:

    Mathematics:
    Beckmann, A., & Yamagata, Y. (2025). On proving consistency of equational theories in bounded arithmetic. The Journal of Symbolic Logic

    Theoretical Computer Science:
    Ikeda, M., Yamagata, Y., & Kihara, T. (2024). On the Metric Temporal Logic for Continuous Stochastic Processes. Logical Methods in Computer Science,

    Software Engineering:
    Yamagata, Y., Liu, S., Akazaki, T., Duan, Y., & Hao, J. (2020). Falsification of cyber-physical systems using deep reinforcement learning. IEEE Transactions on Software Engineering

    Philosophy:
    Suzuki, U., & Yamagata, Y. (2023). Notion of validity for the bilateral classical logic. arXiv preprint arXiv:2310.13376.

    #Logic #MathematicalLogic #BoundedArithmetic #SoftwareEngineering
    #Philosophy
    #PhilosophicalLogic
    #PhilosophyOfLanguage

  19. Hi,

    I'm an associate professor at Department of Engineering, University of Fukui. I'm interested in theoretical computer science, software engineering, mathematical logic, also related philosophical topics. If you want to study in Fukui, please let me know.

    My recent papers:

    Mathematics:
    Beckmann, A., & Yamagata, Y. (2025). On proving consistency of equational theories in bounded arithmetic. The Journal of Symbolic Logic

    Theoretical Computer Science:
    Ikeda, M., Yamagata, Y., & Kihara, T. (2024). On the Metric Temporal Logic for Continuous Stochastic Processes. Logical Methods in Computer Science,

    Software Engineering:
    Yamagata, Y., Liu, S., Akazaki, T., Duan, Y., & Hao, J. (2020). Falsification of cyber-physical systems using deep reinforcement learning. IEEE Transactions on Software Engineering

    Philosophy:
    Suzuki, U., & Yamagata, Y. (2023). Notion of validity for the bilateral classical logic. arXiv preprint arXiv:2310.13376.

    #Logic #MathematicalLogic #BoundedArithmetic #SoftwareEngineering
    #Philosophy
    #PhilosophicalLogic
    #PhilosophyOfLanguage

  20. Hi,

    I'm an associate professor at Department of Engineering, University of Fukui. I'm interested in theoretical computer science, software engineering, mathematical logic, also related philosophical topics. If you want to study in Fukui, please let me know.

    My recent papers:

    Mathematics:
    Beckmann, A., & Yamagata, Y. (2025). On proving consistency of equational theories in bounded arithmetic. The Journal of Symbolic Logic

    Theoretical Computer Science:
    Ikeda, M., Yamagata, Y., & Kihara, T. (2024). On the Metric Temporal Logic for Continuous Stochastic Processes. Logical Methods in Computer Science,

    Software Engineering:
    Yamagata, Y., Liu, S., Akazaki, T., Duan, Y., & Hao, J. (2020). Falsification of cyber-physical systems using deep reinforcement learning. IEEE Transactions on Software Engineering

    Philosophy:
    Suzuki, U., & Yamagata, Y. (2023). Notion of validity for the bilateral classical logic. arXiv preprint arXiv:2310.13376.

    #Logic #MathematicalLogic #BoundedArithmetic #SoftwareEngineering
    #Philosophy
    #PhilosophicalLogic
    #PhilosophyOfLanguage

  21. @LeoTsai14 While they do not actually call it so, set theoreticians do a lot of work in a category in which the objects are the models of set theory and the arrows are the elementary embeddings (en.wikipedia.org/wiki/Elementa) between them.
    Models of (ZFC-like) set theories have the interesting property that the maps between them are to some amount determined by the mappings between their classes of ordinals: If this map is an isomorphism, the whole map is one (en.wikipedia.org/wiki/Critical).
    You may also have a look at inner model theory (en.wikipedia.org/wiki/Inner_mo), I think.

    #SetTheory #ModelTheory #MathematicalLogic #Categories

  22. @LeoTsai14 While they do not actually call it so, set theoreticians do a lot of work in a category in which the objects are the models of set theory and the arrows are the elementary embeddings (en.wikipedia.org/wiki/Elementa) between them.
    Models of (ZFC-like) set theories have the interesting property that the maps between them are to some amount determined by the mappings between their classes of ordinals: If this map is an isomorphism, the whole map is one (en.wikipedia.org/wiki/Critical).
    You may also have a look at inner model theory (en.wikipedia.org/wiki/Inner_mo), I think.

    #SetTheory #ModelTheory #MathematicalLogic #Categories

  23. @LeoTsai14 While they do not actually call it so, set theoreticians do a lot of work in a category in which the objects are the models of set theory and the arrows are the elementary embeddings (en.wikipedia.org/wiki/Elementa) between them.
    Models of (ZFC-like) set theories have the interesting property that the maps between them are to some amount determined by the mappings between their classes of ordinals: If this map is an isomorphism, the whole map is one (en.wikipedia.org/wiki/Critical).
    You may also have a look at inner model theory (en.wikipedia.org/wiki/Inner_mo), I think.

    #SetTheory #ModelTheory #MathematicalLogic #Categories

  24. @LeoTsai14 While they do not actually call it so, set theoreticians do a lot of work in a category in which the objects are the models of set theory and the arrows are the elementary embeddings (en.wikipedia.org/wiki/Elementa) between them.
    Models of (ZFC-like) set theories have the interesting property that the maps between them are to some amount determined by the mappings between their classes of ordinals: If this map is an isomorphism, the whole map is one (en.wikipedia.org/wiki/Critical).
    You may also have a look at inner model theory (en.wikipedia.org/wiki/Inner_mo), I think.

    #SetTheory #ModelTheory #MathematicalLogic #Categories

  25. @LeoTsai14 While they do not actually call it so, set theoreticians do a lot of work in a category in which the objects are the models of set theory and the arrows are the elementary embeddings (en.wikipedia.org/wiki/Elementa) between them.
    Models of (ZFC-like) set theories have the interesting property that the maps between them are to some amount determined by the mappings between their classes of ordinals: If this map is an isomorphism, the whole map is one (en.wikipedia.org/wiki/Critical).
    You may also have a look at inner model theory (en.wikipedia.org/wiki/Inner_mo), I think.

    #SetTheory #ModelTheory #MathematicalLogic #Categories

  26. Do we have any Gödel experts in the house?

    I'm trying to understand why Gödel used this encoding in the original Gödel numbering. To be clear, these are supposed to be the exponents in the unique factorisation 2ᵃ3ᵇ5ᶜ⋯, not the bases which are also coincidentally prime.

    Why did Gödel pick prime exponents too?

    And why did is the 0 assigned to the exponent 1 and not 2? Why is that first one not prime?

    At first I thought this might be a typo in the inset figure in Wikipedia, but upon consulting the cited reference I saw that the same encoding is used in the original paper. en.wikipedia.org/wiki/G%C3%B6d

    #GödelNumbers #MathematicalLogic

  27. Do we have any Gödel experts in the house?

    I'm trying to understand why Gödel used this encoding in the original Gödel numbering. To be clear, these are supposed to be the exponents in the unique factorisation 2ᵃ3ᵇ5ᶜ⋯, not the bases which are also coincidentally prime.

    Why did Gödel pick prime exponents too?

    And why did is the 0 assigned to the exponent 1 and not 2? Why is that first one not prime?

    At first I thought this might be a typo in the inset figure in Wikipedia, but upon consulting the cited reference I saw that the same encoding is used in the original paper. en.wikipedia.org/wiki/G%C3%B6d

    #GödelNumbers #MathematicalLogic

  28. Do we have any Gödel experts in the house?

    I'm trying to understand why Gödel used this encoding in the original Gödel numbering. To be clear, these are supposed to be the exponents in the unique factorisation 2ᵃ3ᵇ5ᶜ⋯, not the bases which are also coincidentally prime.

    Why did Gödel pick prime exponents too?

    And why did is the 0 assigned to the exponent 1 and not 2? Why is that first one not prime?

    At first I thought this might be a typo in the inset figure in Wikipedia, but upon consulting the cited reference I saw that the same encoding is used in the original paper. en.wikipedia.org/wiki/G%C3%B6d

    #GödelNumbers #MathematicalLogic

  29. Do we have any Gödel experts in the house?

    I'm trying to understand why Gödel used this encoding in the original Gödel numbering. To be clear, these are supposed to be the exponents in the unique factorisation 2ᵃ3ᵇ5ᶜ⋯, not the bases which are also coincidentally prime.

    Why did Gödel pick prime exponents too?

    And why did is the 0 assigned to the exponent 1 and not 2? Why is that first one not prime?

    At first I thought this might be a typo in the inset figure in Wikipedia, but upon consulting the cited reference I saw that the same encoding is used in the original paper. en.wikipedia.org/wiki/G%C3%B6d

    #GödelNumbers #MathematicalLogic

  30. Do we have any Gödel experts in the house?

    I'm trying to understand why Gödel used this encoding in the original Gödel numbering. To be clear, these are supposed to be the exponents in the unique factorisation 2ᵃ3ᵇ5ᶜ⋯, not the bases which are also coincidentally prime.

    Why did Gödel pick prime exponents too?

    And why did is the 0 assigned to the exponent 1 and not 2? Why is that first one not prime?

    At first I thought this might be a typo in the inset figure in Wikipedia, but upon consulting the cited reference I saw that the same encoding is used in the original paper. en.wikipedia.org/wiki/G%C3%B6d

    #GödelNumbers #MathematicalLogic

  31. Logic of Relatives
    inquiryintoinquiry.com/2024/08

    Relations Via Relative Terms —

    The logic of relatives is the study of relations as represented in symbolic forms known as rhemes, rhemata, or relative terms.

    Introduction —

    The logic of relatives, more precisely, the logic of relative terms, is the study of relations as represented in symbolic forms called rhemes, rhemata, or relative terms. The treatment of relations by way of their corresponding relative terms affords a distinctive perspective on the subject, even though all angles of approach must ultimately converge on the same formal subject matter.

    The consideration of relative terms has its roots in antiquity but it entered a radically new phase of development with the work of Charles Sanders Peirce, beginning with his paper “Description of a Notation for the Logic of Relatives, Resulting from an Amplification of the Conceptions of Boole's Calculus of Logic” (1870).

    References —

    • Peirce, C.S., “Description of a Notation for the Logic of Relatives, Resulting from an Amplification of the Conceptions of Boole's Calculus of Logic”, Memoirs of the American Academy of Arts and Sciences 9, 317–378, 1870. Reprinted, Collected Papers CP 3.45–149. Reprinted, Chronological Edition CE 2, 359–429.
    jstor.org/stable/25058006
    archive.org/details/jstor-2505
    books.google.com/books?id=fFnW

    Resources —

    Charles Sanders Peirce
    mywikibiz.com/Charles_Sanders_

    Relation Theory
    oeis.org/wiki/Relation_theory

    Survey of Relation Theory
    inquiryintoinquiry.com/2024/03

    Peirce's 1870 Logic of Relatives
    inquiryintoinquiry.com/2019/09
    oeis.org/wiki/Peirce%27s_1870_

    #Peirce #Logic #LogicOfRelatives #MathematicalLogic
    #Mathematics #RelationTheory #Semiotics #SignRelations

  32. Logic of Relatives
    inquiryintoinquiry.com/2024/08

    Relations Via Relative Terms —

    The logic of relatives is the study of relations as represented in symbolic forms known as rhemes, rhemata, or relative terms.

    Introduction —

    The logic of relatives, more precisely, the logic of relative terms, is the study of relations as represented in symbolic forms called rhemes, rhemata, or relative terms. The treatment of relations by way of their corresponding relative terms affords a distinctive perspective on the subject, even though all angles of approach must ultimately converge on the same formal subject matter.

    The consideration of relative terms has its roots in antiquity but it entered a radically new phase of development with the work of Charles Sanders Peirce, beginning with his paper “Description of a Notation for the Logic of Relatives, Resulting from an Amplification of the Conceptions of Boole's Calculus of Logic” (1870).

    References —

    • Peirce, C.S., “Description of a Notation for the Logic of Relatives, Resulting from an Amplification of the Conceptions of Boole's Calculus of Logic”, Memoirs of the American Academy of Arts and Sciences 9, 317–378, 1870. Reprinted, Collected Papers CP 3.45–149. Reprinted, Chronological Edition CE 2, 359–429.
    jstor.org/stable/25058006
    archive.org/details/jstor-2505
    books.google.com/books?id=fFnW

    Resources —

    Charles Sanders Peirce
    mywikibiz.com/Charles_Sanders_

    Relation Theory
    oeis.org/wiki/Relation_theory

    Survey of Relation Theory
    inquiryintoinquiry.com/2024/03

    Peirce's 1870 Logic of Relatives
    inquiryintoinquiry.com/2019/09
    oeis.org/wiki/Peirce%27s_1870_

    #Peirce #Logic #LogicOfRelatives #MathematicalLogic
    #Mathematics #RelationTheory #Semiotics #SignRelations

  33. Logic of Relatives
    inquiryintoinquiry.com/2024/08

    Relations Via Relative Terms —

    The logic of relatives is the study of relations as represented in symbolic forms known as rhemes, rhemata, or relative terms.

    Introduction —

    The logic of relatives, more precisely, the logic of relative terms, is the study of relations as represented in symbolic forms called rhemes, rhemata, or relative terms. The treatment of relations by way of their corresponding relative terms affords a distinctive perspective on the subject, even though all angles of approach must ultimately converge on the same formal subject matter.

    The consideration of relative terms has its roots in antiquity but it entered a radically new phase of development with the work of Charles Sanders Peirce, beginning with his paper “Description of a Notation for the Logic of Relatives, Resulting from an Amplification of the Conceptions of Boole's Calculus of Logic” (1870).

    References —

    • Peirce, C.S., “Description of a Notation for the Logic of Relatives, Resulting from an Amplification of the Conceptions of Boole's Calculus of Logic”, Memoirs of the American Academy of Arts and Sciences 9, 317–378, 1870. Reprinted, Collected Papers CP 3.45–149. Reprinted, Chronological Edition CE 2, 359–429.
    jstor.org/stable/25058006
    archive.org/details/jstor-2505
    books.google.com/books?id=fFnW

    Resources —

    Charles Sanders Peirce
    mywikibiz.com/Charles_Sanders_

    Relation Theory
    oeis.org/wiki/Relation_theory

    Survey of Relation Theory
    inquiryintoinquiry.com/2024/03

    Peirce's 1870 Logic of Relatives
    inquiryintoinquiry.com/2019/09
    oeis.org/wiki/Peirce%27s_1870_

    #Peirce #Logic #LogicOfRelatives #MathematicalLogic
    #Mathematics #RelationTheory #Semiotics #SignRelations

  34. Logic of Relatives
    inquiryintoinquiry.com/2024/08

    Relations Via Relative Terms —

    The logic of relatives is the study of relations as represented in symbolic forms known as rhemes, rhemata, or relative terms.

    Introduction —

    The logic of relatives, more precisely, the logic of relative terms, is the study of relations as represented in symbolic forms called rhemes, rhemata, or relative terms. The treatment of relations by way of their corresponding relative terms affords a distinctive perspective on the subject, even though all angles of approach must ultimately converge on the same formal subject matter.

    The consideration of relative terms has its roots in antiquity but it entered a radically new phase of development with the work of Charles Sanders Peirce, beginning with his paper “Description of a Notation for the Logic of Relatives, Resulting from an Amplification of the Conceptions of Boole's Calculus of Logic” (1870).

    References —

    • Peirce, C.S., “Description of a Notation for the Logic of Relatives, Resulting from an Amplification of the Conceptions of Boole's Calculus of Logic”, Memoirs of the American Academy of Arts and Sciences 9, 317–378, 1870. Reprinted, Collected Papers CP 3.45–149. Reprinted, Chronological Edition CE 2, 359–429.
    jstor.org/stable/25058006
    archive.org/details/jstor-2505
    books.google.com/books?id=fFnW

    Resources —

    Charles Sanders Peirce
    mywikibiz.com/Charles_Sanders_

    Relation Theory
    oeis.org/wiki/Relation_theory

    Survey of Relation Theory
    inquiryintoinquiry.com/2024/03

    Peirce's 1870 Logic of Relatives
    inquiryintoinquiry.com/2019/09
    oeis.org/wiki/Peirce%27s_1870_

    #Peirce #Logic #LogicOfRelatives #MathematicalLogic
    #Mathematics #RelationTheory #Semiotics #SignRelations

  35. Logic of Relatives
    inquiryintoinquiry.com/2024/08

    Relations Via Relative Terms —

    The logic of relatives is the study of relations as represented in symbolic forms known as rhemes, rhemata, or relative terms.

    Introduction —

    The logic of relatives, more precisely, the logic of relative terms, is the study of relations as represented in symbolic forms called rhemes, rhemata, or relative terms. The treatment of relations by way of their corresponding relative terms affords a distinctive perspective on the subject, even though all angles of approach must ultimately converge on the same formal subject matter.

    The consideration of relative terms has its roots in antiquity but it entered a radically new phase of development with the work of Charles Sanders Peirce, beginning with his paper “Description of a Notation for the Logic of Relatives, Resulting from an Amplification of the Conceptions of Boole's Calculus of Logic” (1870).

    References —

    • Peirce, C.S., “Description of a Notation for the Logic of Relatives, Resulting from an Amplification of the Conceptions of Boole's Calculus of Logic”, Memoirs of the American Academy of Arts and Sciences 9, 317–378, 1870. Reprinted, Collected Papers CP 3.45–149. Reprinted, Chronological Edition CE 2, 359–429.
    jstor.org/stable/25058006
    archive.org/details/jstor-2505
    books.google.com/books?id=fFnW

    Resources —

    Charles Sanders Peirce
    mywikibiz.com/Charles_Sanders_

    Relation Theory
    oeis.org/wiki/Relation_theory

    Survey of Relation Theory
    inquiryintoinquiry.com/2024/03

    Peirce's 1870 Logic of Relatives
    inquiryintoinquiry.com/2019/09
    oeis.org/wiki/Peirce%27s_1870_

    #Peirce #Logic #LogicOfRelatives #MathematicalLogic
    #Mathematics #RelationTheory #Semiotics #SignRelations

  36. Peirce's 1870 “Logic of Relatives” • Selection 3.2
    inquiryintoinquiry.com/2014/01

    ❝§3. Application of the Algebraic Signs to Logic❞

    ❝The Signs of Inclusion, Equality, Etc.❞

    ❝But not only do the significations of \(=\) and \(<\) here adopted fulfill all absolute requirements, but they have the supererogatory virtue of being very nearly the same as the common significations. Equality is, in fact, nothing but the identity of two numbers; numbers that are equal are those which are predicable of the same collections, just as terms that are identical are those which are predicable of the same classes.

    ❝So, to write \(5 < 7\) is to say that \(5\) is part of \(7,\) just as to write \(\mathrm{f} < \mathrm{m}\) is to say that Frenchmen are part of men. Indeed, if \(\mathrm{f} < \mathrm{m},\) then the number of Frenchmen is less than the number of men, and if \(\mathrm{v} = \mathrm{p},\) then the number of Vice-Presidents is equal to the number of Presidents of the Senate; so that the numbers may always be substituted for the terms themselves, in case no signs of operation occur in the equations or inequalities.❞

    (Peirce, CP 3.66)

    #Peirce #Logic #LogicOfRelatives #RelationTheory #LOR1870
    #Boole #LogicalCalculus #MathematicalLogic #LogicalGraphs
    #PropositionalCalculus #PredicateCalculus #CategoryTheory

  37. Peirce's 1870 “Logic of Relatives” • Selection 3.2
    inquiryintoinquiry.com/2014/01

    ❝§3. Application of the Algebraic Signs to Logic❞

    ❝The Signs of Inclusion, Equality, Etc.❞

    ❝But not only do the significations of \(=\) and \(<\) here adopted fulfill all absolute requirements, but they have the supererogatory virtue of being very nearly the same as the common significations. Equality is, in fact, nothing but the identity of two numbers; numbers that are equal are those which are predicable of the same collections, just as terms that are identical are those which are predicable of the same classes.

    ❝So, to write \(5 < 7\) is to say that \(5\) is part of \(7,\) just as to write \(\mathrm{f} < \mathrm{m}\) is to say that Frenchmen are part of men. Indeed, if \(\mathrm{f} < \mathrm{m},\) then the number of Frenchmen is less than the number of men, and if \(\mathrm{v} = \mathrm{p},\) then the number of Vice-Presidents is equal to the number of Presidents of the Senate; so that the numbers may always be substituted for the terms themselves, in case no signs of operation occur in the equations or inequalities.❞

    (Peirce, CP 3.66)

    #Peirce #Logic #LogicOfRelatives #RelationTheory #LOR1870
    #Boole #LogicalCalculus #MathematicalLogic #LogicalGraphs
    #PropositionalCalculus #PredicateCalculus #CategoryTheory

  38. Peirce's 1870 “Logic of Relatives” • Selection 3.2
    inquiryintoinquiry.com/2014/01

    ❝§3. Application of the Algebraic Signs to Logic❞

    ❝The Signs of Inclusion, Equality, Etc.❞

    ❝But not only do the significations of \(=\) and \(<\) here adopted fulfill all absolute requirements, but they have the supererogatory virtue of being very nearly the same as the common significations. Equality is, in fact, nothing but the identity of two numbers; numbers that are equal are those which are predicable of the same collections, just as terms that are identical are those which are predicable of the same classes.

    ❝So, to write \(5 < 7\) is to say that \(5\) is part of \(7,\) just as to write \(\mathrm{f} < \mathrm{m}\) is to say that Frenchmen are part of men. Indeed, if \(\mathrm{f} < \mathrm{m},\) then the number of Frenchmen is less than the number of men, and if \(\mathrm{v} = \mathrm{p},\) then the number of Vice-Presidents is equal to the number of Presidents of the Senate; so that the numbers may always be substituted for the terms themselves, in case no signs of operation occur in the equations or inequalities.❞

    (Peirce, CP 3.66)

    #Peirce #Logic #LogicOfRelatives #RelationTheory #LOR1870
    #Boole #LogicalCalculus #MathematicalLogic #LogicalGraphs
    #PropositionalCalculus #PredicateCalculus #CategoryTheory

  39. Peirce's 1870 “Logic of Relatives” • Selection 3.2
    inquiryintoinquiry.com/2014/01

    ❝§3. Application of the Algebraic Signs to Logic❞

    ❝The Signs of Inclusion, Equality, Etc.❞

    ❝But not only do the significations of \(=\) and \(<\) here adopted fulfill all absolute requirements, but they have the supererogatory virtue of being very nearly the same as the common significations. Equality is, in fact, nothing but the identity of two numbers; numbers that are equal are those which are predicable of the same collections, just as terms that are identical are those which are predicable of the same classes.

    ❝So, to write \(5 < 7\) is to say that \(5\) is part of \(7,\) just as to write \(\mathrm{f} < \mathrm{m}\) is to say that Frenchmen are part of men. Indeed, if \(\mathrm{f} < \mathrm{m},\) then the number of Frenchmen is less than the number of men, and if \(\mathrm{v} = \mathrm{p},\) then the number of Vice-Presidents is equal to the number of Presidents of the Senate; so that the numbers may always be substituted for the terms themselves, in case no signs of operation occur in the equations or inequalities.❞

    (Peirce, CP 3.66)

    #Peirce #Logic #LogicOfRelatives #RelationTheory #LOR1870
    #Boole #LogicalCalculus #MathematicalLogic #LogicalGraphs
    #PropositionalCalculus #PredicateCalculus #CategoryTheory

  40. Peirce's 1870 “Logic of Relatives” • Selection 3.2
    inquiryintoinquiry.com/2014/01

    ❝§3. Application of the Algebraic Signs to Logic❞

    ❝The Signs of Inclusion, Equality, Etc.❞

    ❝But not only do the significations of \(=\) and \(<\) here adopted fulfill all absolute requirements, but they have the supererogatory virtue of being very nearly the same as the common significations. Equality is, in fact, nothing but the identity of two numbers; numbers that are equal are those which are predicable of the same collections, just as terms that are identical are those which are predicable of the same classes.

    ❝So, to write \(5 < 7\) is to say that \(5\) is part of \(7,\) just as to write \(\mathrm{f} < \mathrm{m}\) is to say that Frenchmen are part of men. Indeed, if \(\mathrm{f} < \mathrm{m},\) then the number of Frenchmen is less than the number of men, and if \(\mathrm{v} = \mathrm{p},\) then the number of Vice-Presidents is equal to the number of Presidents of the Senate; so that the numbers may always be substituted for the terms themselves, in case no signs of operation occur in the equations or inequalities.❞

    (Peirce, CP 3.66)

    #Peirce #Logic #LogicOfRelatives #RelationTheory #LOR1870
    #Boole #LogicalCalculus #MathematicalLogic #LogicalGraphs
    #PropositionalCalculus #PredicateCalculus #CategoryTheory

  41. Related question: Is Tarski's fixed point theorem constructive, predicative?

    Since Tarski's fixed point theorem can be proved by a sort of transfinite induction, how the answer of this question telated to the previous question?
    #mathematicallogic #settheory

  42. Related question: Is Tarski's fixed point theorem constructive, predicative?

    Since Tarski's fixed point theorem can be proved by a sort of transfinite induction, how the answer of this question telated to the previous question?
    #mathematicallogic #settheory

  43. Related question: Is Tarski's fixed point theorem constructive, predicative?

    Since Tarski's fixed point theorem can be proved by a sort of transfinite induction, how the answer of this question telated to the previous question?
    #mathematicallogic #settheory

  44. Related question: Is Tarski's fixed point theorem constructive, predicative?

    Since Tarski's fixed point theorem can be proved by a sort of transfinite induction, how the answer of this question telated to the previous question?
    #mathematicallogic #settheory

  45. A question: is transfinite induction constructive?

    Sure it would depend on the definition of ordinal, but how?
    #mathematicallogic #settheory

  46. A question: is transfinite induction constructive?

    Sure it would depend on the definition of ordinal, but how?
    #mathematicallogic #settheory

  47. A question: is transfinite induction constructive?

    Sure it would depend on the definition of ordinal, but how?
    #mathematicallogic #settheory

  48. Peirce's 1870 “Logic of Relatives” • Selection 2.1
    inquiryintoinquiry.com/2014/01

    ❝§3. Application of the Algebraic Signs to Logic❞

    ❝Numbers Corresponding to Letters❞

    ❝I propose to use the term “universe” to denote that class of individuals about which alone the whole discourse is understood to run. The universe, therefore, in this sense, as in Mr. De Morgan's, is different on different occasions. In this sense, moreover, discourse may run upon something which is not a subjective part of the universe; for instance, upon the qualities or collections of the individuals it contains.

    ❝I propose to assign to all logical terms, numbers; to an absolute term, the number of individuals it denotes; to a relative term, the average number of things so related to one individual. Thus in a universe of perfect men \((\mathrm{men}),\) the number of “tooth of” would be 32. The number of a relative with two correlates would be the average number of things so related to a pair of individuals; and so on for relatives of higher numbers of correlates. I propose to denote the number of a logical term by enclosing the term in square brackets, thus, \([t].\)❞

    #Peirce #Logic #LogicOfRelatives #RelationTheory #LOR1870
    #Boole #LogicalCalculus #MathematicalLogic #LogicalGraphs
    #PropositionalCalculus #PredicateCalculus #CategoryTheory

  49. Peirce's 1870 “Logic of Relatives” • Selection 2.1
    inquiryintoinquiry.com/2014/01

    ❝§3. Application of the Algebraic Signs to Logic❞

    ❝Numbers Corresponding to Letters❞

    ❝I propose to use the term “universe” to denote that class of individuals about which alone the whole discourse is understood to run. The universe, therefore, in this sense, as in Mr. De Morgan's, is different on different occasions. In this sense, moreover, discourse may run upon something which is not a subjective part of the universe; for instance, upon the qualities or collections of the individuals it contains.

    ❝I propose to assign to all logical terms, numbers; to an absolute term, the number of individuals it denotes; to a relative term, the average number of things so related to one individual. Thus in a universe of perfect men \((\mathrm{men}),\) the number of “tooth of” would be 32. The number of a relative with two correlates would be the average number of things so related to a pair of individuals; and so on for relatives of higher numbers of correlates. I propose to denote the number of a logical term by enclosing the term in square brackets, thus, \([t].\)❞

    #Peirce #Logic #LogicOfRelatives #RelationTheory #LOR1870
    #Boole #LogicalCalculus #MathematicalLogic #LogicalGraphs
    #PropositionalCalculus #PredicateCalculus #CategoryTheory

  50. Peirce's 1870 “Logic of Relatives” • Selection 2.1
    inquiryintoinquiry.com/2014/01

    ❝§3. Application of the Algebraic Signs to Logic❞

    ❝Numbers Corresponding to Letters❞

    ❝I propose to use the term “universe” to denote that class of individuals about which alone the whole discourse is understood to run. The universe, therefore, in this sense, as in Mr. De Morgan's, is different on different occasions. In this sense, moreover, discourse may run upon something which is not a subjective part of the universe; for instance, upon the qualities or collections of the individuals it contains.

    ❝I propose to assign to all logical terms, numbers; to an absolute term, the number of individuals it denotes; to a relative term, the average number of things so related to one individual. Thus in a universe of perfect men \((\mathrm{men}),\) the number of “tooth of” would be 32. The number of a relative with two correlates would be the average number of things so related to a pair of individuals; and so on for relatives of higher numbers of correlates. I propose to denote the number of a logical term by enclosing the term in square brackets, thus, \([t].\)❞

    #Peirce #Logic #LogicOfRelatives #RelationTheory #LOR1870
    #Boole #LogicalCalculus #MathematicalLogic #LogicalGraphs
    #PropositionalCalculus #PredicateCalculus #CategoryTheory

  51. Peirce's 1870 “Logic of Relatives” • Selection 2.1
    inquiryintoinquiry.com/2014/01

    ❝§3. Application of the Algebraic Signs to Logic❞

    ❝Numbers Corresponding to Letters❞

    ❝I propose to use the term “universe” to denote that class of individuals about which alone the whole discourse is understood to run. The universe, therefore, in this sense, as in Mr. De Morgan's, is different on different occasions. In this sense, moreover, discourse may run upon something which is not a subjective part of the universe; for instance, upon the qualities or collections of the individuals it contains.

    ❝I propose to assign to all logical terms, numbers; to an absolute term, the number of individuals it denotes; to a relative term, the average number of things so related to one individual. Thus in a universe of perfect men \((\mathrm{men}),\) the number of “tooth of” would be 32. The number of a relative with two correlates would be the average number of things so related to a pair of individuals; and so on for relatives of higher numbers of correlates. I propose to denote the number of a logical term by enclosing the term in square brackets, thus, \([t].\)❞

    #Peirce #Logic #LogicOfRelatives #RelationTheory #LOR1870
    #Boole #LogicalCalculus #MathematicalLogic #LogicalGraphs
    #PropositionalCalculus #PredicateCalculus #CategoryTheory

  52. Peirce's 1870 “Logic of Relatives” • Selection 2.1
    inquiryintoinquiry.com/2014/01

    ❝§3. Application of the Algebraic Signs to Logic❞

    ❝Numbers Corresponding to Letters❞

    ❝I propose to use the term “universe” to denote that class of individuals about which alone the whole discourse is understood to run. The universe, therefore, in this sense, as in Mr. De Morgan's, is different on different occasions. In this sense, moreover, discourse may run upon something which is not a subjective part of the universe; for instance, upon the qualities or collections of the individuals it contains.

    ❝I propose to assign to all logical terms, numbers; to an absolute term, the number of individuals it denotes; to a relative term, the average number of things so related to one individual. Thus in a universe of perfect men \((\mathrm{men}),\) the number of “tooth of” would be 32. The number of a relative with two correlates would be the average number of things so related to a pair of individuals; and so on for relatives of higher numbers of correlates. I propose to denote the number of a logical term by enclosing the term in square brackets, thus, \([t].\)❞

    #Peirce #Logic #LogicOfRelatives #RelationTheory #LOR1870
    #Boole #LogicalCalculus #MathematicalLogic #LogicalGraphs
    #PropositionalCalculus #PredicateCalculus #CategoryTheory

  53. Peirce's 1870 “Logic of Relatives” • Selection 1.2
    inquiryintoinquiry.com/2014/01

    ❝The conjugative term involves the conception of third, the relative that of second or other, the absolute term simply considers an object. No fourth class of terms exists involving the conception of fourth, because when that of third is introduced, since it involves the conception of bringing objects into relation, all higher numbers are given at once, inasmuch as the conception of bringing objects into relation is independent of the number of members of the relationship. Whether this reason for the fact that there is no fourth class of terms fundamentally different from the third is satisfactory of not, the fact itself is made perfectly evident by the study of the logic of relatives.❞

    One thing that strikes me about the above passage is a pattern of argument I can recognize as invoking a closure principle. This is a figure of reasoning Peirce uses in three other places: his discussion of continuous predicates, his definition of a sign relation, and his formulation of the pragmatic maxim itself.

    One might also call attention to the following two statements:

    ❝Now logical terms are of three grand classes.❞

    ❝No fourth class of terms exists involving the conception of fourth, because when that of third is introduced, since it involves the conception of bringing objects into relation, all higher numbers are given at once, inasmuch as the conception of bringing objects into relation is independent of the number of members of the relationship.❞

    #Peirce #Logic #LogicOfRelatives #RelationTheory #LOR1870
    #Boole #LogicalCalculus #MathematicalLogic #LogicalGraphs
    #PropositionalCalculus #PredicateCalculus #CategoryTheory

  54. Peirce's 1870 “Logic of Relatives” • Selection 1.2
    inquiryintoinquiry.com/2014/01

    ❝The conjugative term involves the conception of third, the relative that of second or other, the absolute term simply considers an object. No fourth class of terms exists involving the conception of fourth, because when that of third is introduced, since it involves the conception of bringing objects into relation, all higher numbers are given at once, inasmuch as the conception of bringing objects into relation is independent of the number of members of the relationship. Whether this reason for the fact that there is no fourth class of terms fundamentally different from the third is satisfactory of not, the fact itself is made perfectly evident by the study of the logic of relatives.❞

    One thing that strikes me about the above passage is a pattern of argument I can recognize as invoking a closure principle. This is a figure of reasoning Peirce uses in three other places: his discussion of continuous predicates, his definition of a sign relation, and his formulation of the pragmatic maxim itself.

    One might also call attention to the following two statements:

    ❝Now logical terms are of three grand classes.❞

    ❝No fourth class of terms exists involving the conception of fourth, because when that of third is introduced, since it involves the conception of bringing objects into relation, all higher numbers are given at once, inasmuch as the conception of bringing objects into relation is independent of the number of members of the relationship.❞

    #Peirce #Logic #LogicOfRelatives #RelationTheory #LOR1870
    #Boole #LogicalCalculus #MathematicalLogic #LogicalGraphs
    #PropositionalCalculus #PredicateCalculus #CategoryTheory