#universeofdiscourse — Public Fediverse posts

Logic Syllabus • 3
• https://inquiryintoinquiry.com/logic-syllabus/

Logical Concepts
• https://oeis.org/wiki/Logic_Syllabus#Logical_concepts

Ampheck • https://oeis.org/wiki/Ampheck
Boolean Domain • https://oeis.org/wiki/Boolean_domain
Boolean Function • https://oeis.org/wiki/Boolean_function
Boolean-Valued Function • https://oeis.org/wiki/Boolean-valued_function
Differential Logic • https://oeis.org/wiki/Differential_logic
Logical Graph • https://oeis.org/wiki/Logical_Graphs
Minimal Negation Operator • https://oeis.org/wiki/Minimal_negation_operator
Multigrade Operator • https://oeis.org/wiki/Multigrade_operator
Parametric Operator • https://oeis.org/wiki/Parametric_operator
Peirce's Law • https://oeis.org/wiki/Peirce%27s_law
Propositional Calculus • https://oeis.org/wiki/Propositional_calculus
Sole Sufficient Operator • https://oeis.org/wiki/Sole_sufficient_operator
Truth Table • https://oeis.org/wiki/Truth_table
Universe of Discourse • https://oeis.org/wiki/Universe_of_discourse
Zeroth Order Logic • https://oeis.org/wiki/Zeroth_order_logic

#Logic #LogicSyllabus #Ampheck #BooleanDomain #BooleanFunction #BooleanValuedFunction
#DifferentialLogic #LogicalGraph #MinimalNegationOperator #MultigradeOperator
#ParametricOperator #PeircesLaw #PropositionalCalculus #SoleSufficientOperator
#TruthTable #UniverseOfDiscourse #ZerothOrderLogic

#LogicSyllabus
• https://inquiryintoinquiry.com/logic-syllabus/

This page serves as a focal node for a collection of related resources.

#Logic #LogicalOperators

#LogicalConjunction #LogicalDisjunction
#ExclusiveDisjunction #LogicalEquality
#LogicalImplication #LogicalNegation
#LogicalNAND #LogicalNNOR

#LogicalConcepts

#Ampheck #SoleSufficientOperator
#BooleanDomain #UniverseOfDiscourse
#LogicalGraph #PropositionalCalculus
#MinimalNegationOperator #TruthTable
#BooleanFunction #BooleanValuedFunction

#LogicSyllabus
• https://inquiryintoinquiry.com/logic-syllabus/

This page serves as a focal node for a collection of related resources.

#Logic #LogicalOperators

#LogicalConjunction #LogicalDisjunction
#ExclusiveDisjunction #LogicalEquality
#LogicalImplication #LogicalNegation
#LogicalNAND #LogicalNNOR

#LogicalConcepts

#Ampheck #SoleSufficientOperator
#BooleanDomain #UniverseOfDiscourse
#LogicalGraph #PropositionalCalculus
#MinimalNegationOperator #TruthTable
#BooleanFunction #BooleanValuedFunction

#LogicSyllabus
• https://inquiryintoinquiry.com/logic-syllabus/

This page serves as a focal node for a collection of related resources.

#Logic #LogicalOperators

#LogicalConjunction #LogicalDisjunction
#ExclusiveDisjunction #LogicalEquality
#LogicalImplication #LogicalNegation
#LogicalNAND #LogicalNNOR

#LogicalConcepts

#Ampheck #SoleSufficientOperator
#BooleanDomain #UniverseOfDiscourse
#LogicalGraph #PropositionalCalculus
#MinimalNegationOperator #TruthTable
#BooleanFunction #BooleanValuedFunction

#DifferentialPropositionalCalculus • 7.2
• https://inquiryintoinquiry.com/2020/03/05/differential-propositional-calculus-7/

In a #UniverseOfDiscourse based on 3 #BooleanVariables \(p,q,r\) there are \(2^3=8\) #SingularPropositions. Their #VennDiagrams are shown in Figure 10.

\(\text{Figure 10. Singular Propositions} : \mathbb{B}^3 \to\mathbb{B}\)
• https://inquiryintoinquiry.files.wordpress.com/2020/03/venn-diagrams-e280a2-p-q-r-e280a2-singular-propositions.jpg

Related Subjects —
#Logic #LogicalGraphs #DifferentialLogic
#PropositionalCalculus #BooleanFunctions
#CactusSyntax #MinimalNegationOperators
#DiscreteDynamics #QualitativeDynamics

#DifferentialPropositionalCalculus • 7
• https://inquiryintoinquiry.com/2020/03/05/differential-propositional-calculus-7/

In our #Model of #Propositions as #Mappings of a #UniverseOfDiscourse to a set of 2 values, in other words, #IndicatorFunctions of the form \(f:X\to\mathbb{B},\) #SingularPropositions are those singling out the #MinimalDistinctRegions of the universe, represented by single cells of the corresponding #VennDiagram.

#Logic #LogicalGraphs #DifferentialLogic
#PropositionalCalculus #BooleanFunctions
#ModelTheory #ProofTheory #Semiotics

#DifferentialPropositionalCalculus • 7
• https://inquiryintoinquiry.com/2020/03/05/differential-propositional-calculus-7/

In our #Model of #Propositions as #Mappings of a #UniverseOfDiscourse to a set of 2 values, in other words, #IndicatorFunctions of the form \(f:X\to\mathbb{B},\) #SingularPropositions are those singling out the #MinimalDistinctRegions of the universe, represented by single cells of the corresponding #VennDiagram.

#Logic #LogicalGraphs #DifferentialLogic
#PropositionalCalculus #BooleanFunctions
#ModelTheory #ProofTheory #Semiotics

#DifferentialPropositionalCalculus • 7
• https://inquiryintoinquiry.com/2020/03/05/differential-propositional-calculus-7/

In our #Model of #Propositions as #Mappings of a #UniverseOfDiscourse to a set of 2 values, in other words, #IndicatorFunctions of the form \(f:X\to\mathbb{B},\) #SingularPropositions are those singling out the #MinimalDistinctRegions of the universe, represented by single cells of the corresponding #VennDiagram.

#Logic #LogicalGraphs #DifferentialLogic
#PropositionalCalculus #BooleanFunctions
#ModelTheory #ProofTheory #Semiotics

#DifferentialPropositionalCalculus • 5.2
• https://inquiryintoinquiry.com/2020/02/29/differential-propositional-calculus-5/

In a #UniverseOfDiscourse based on three #BooleanVariables \(p, q, r\) the #LinearPropositions take the shapes of the #VennDiagrams shown in Figure 8. Equivalent verbal & variant logical expressions are given in the next few posts.

\(\text{Figure 8. Linear Propositions} : \mathbb{B}^3 \to \mathbb{B}\)
• https://inquiryintoinquiry.files.wordpress.com/2020/02/venn-diagrams-e280a2-p-q-r-e280a2-linear-propositions.jpg

Related Subjects —
#Logic #LogicalGraphs #DifferentialLogic
#PropositionalCalculus #BooleanFunctions

#DifferentialPropositionalCalculus • Overview 🧵
• https://inquiryintoinquiry.com/2020/02/16/differential-propositional-calculus-overview/

By way of introduction to #DifferentialLogic, here begins a chapter on #DifferentialPropositionalCalculi, which augment #PropositionalCalculi with terms for describing aspects of change and difference, for example, processes taking place in a #UniverseOfDiscourse or #LogicalTransformations mapping a #SourceUniverse to a #TargetUniverse.

#Logic #LogicalGraphs #DifferentialLogic
#DiscreteDynamics #QualitativeDynamics

#DifferentialPropositionalCalculus • Overview
• https://inquiryintoinquiry.com/2020/02/16/differential-propositional-calculus-overview/

By way of introduction to #DifferentialLogic we begin a chapter on #DifferentialPropositionalCalculi, which augment #PropositionalCalculi with terms for describing aspects of change and difference, for example, processes taking place in a #UniverseOfDiscourse or #LogicalTransformations mapping a #SourceUniverse to a #TargetUniverse.

#Logic #LogicalGraphs #DifferentialLogic
#DiscreteDynamics #QualitativeDynamics

#DifferentialPropositionalCalculus • Overview
• https://inquiryintoinquiry.com/2020/02/16/differential-propositional-calculus-overview/

By way of introduction to #DifferentialLogic we begin a chapter on #DifferentialPropositionalCalculi, which augment #PropositionalCalculi with terms for describing aspects of change and difference, for example, processes taking place in a #UniverseOfDiscourse or #LogicalTransformations mapping a #SourceUniverse to a #TargetUniverse.

#Logic #LogicalGraphs #DifferentialLogic
#DiscreteDynamics #QualitativeDynamics

#DifferentialPropositionalCalculus • #Overview

• https://inquiryintoinquiry.com/2020/02/16/differential-propositional-calculus-overview/

By way of introduction to #DifferentialLogic, here begins a chapter on #DifferentialPropositionalCalculi, which augment #PropositionalCalculi with terms for describing aspects of change and difference, for example, processes taking place in a #UniverseOfDiscourse or #LogicalTransformations mapping a #SourceUniverse to a #TargetUniverse.

Applications —
#Cybernetics #SystemsTheory
#QualitativeDynamics
#DiscreteDynamics

#DifferentialPropositionalCalculus • #Overview

• https://inquiryintoinquiry.com/2020/02/16/differential-propositional-calculus-overview/

By way of introduction to #DifferentialLogic, here begins a chapter on #DifferentialPropositionalCalculi, which augment #PropositionalCalculi with terms for describing aspects of change and difference, for example, processes taking place in a #UniverseOfDiscourse or #LogicalTransformations mapping a #SourceUniverse to a #TargetUniverse.

Applications —
#Cybernetics #SystemsTheory
#QualitativeDynamics
#DiscreteDynamics

#DifferentialPropositionalCalculus • #Overview

• https://inquiryintoinquiry.com/2020/02/16/differential-propositional-calculus-overview/

By way of introduction to #DifferentialLogic, here begins a chapter on #DifferentialPropositionalCalculi, which augment #PropositionalCalculi with terms for describing aspects of change and difference, for example, processes taking place in a #UniverseOfDiscourse or #LogicalTransformations mapping a #SourceUniverse to a #TargetUniverse.

Applications —
#Cybernetics #SystemsTheory
#QualitativeDynamics
#DiscreteDynamics