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#topology — Public Fediverse posts

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

  1. Registration is open for the Ontario #Topology seminar 2026 in November at the University of #Waterloo . This is a 2-day workshop consisting of talks and discussions. Participation is free of charge. Until 17 September it's still possible to submit a contributed talk. #maths #academicConference
    sites.google.com/view/ontariot

  2. Differential Propositional Calculus • 10

    Special Classes of Propositions (cont.)

    Let’s pause at this point and get a better sense of how our special classes of propositions are structured and how they relate to propositions in general.  We can do this by recruiting our visual imaginations and drawing up a sufficient budget of venn diagrams for each family of propositions.  The case for 3 variables is exemplary enough for a start.

    Linear Propositions

    The linear propositions, may be written as sums:

    One thing to keep in mind about these sums is that the values in are added “modulo 2”, that is, in such a way that

    In a universe of discourse based on three boolean variables, the linear propositions take the shapes shown in Figure 8.


    At the top is the venn diagram for the linear proposition of rank 3, which may be expressed by any one of the following three forms.

    Next are the venn diagrams for the three linear propositions of rank 2, which may be expressed by the following three forms, respectively.

    Next are the three linear propositions of rank 1, which are none other than the three basic propositions,

    At the bottom is the linear proposition of rank 0, the everywhere false proposition or the constant function, which may be expressed by the form or by a simple

    Resources

    cc: Academia.eduCyberneticsStructural ModelingSystems Science
    cc: Conceptual GraphsLaws of FormMathstodonResearch Gate

    #Amphecks #Animata #BooleanAlgebra #BooleanFunctions #CSPeirce #CactusGraphs #CategoryTheory #Change #Cybernetics #DifferentialAnalyticTuringAutomata #DifferentialCalculus #DifferentialLogic #DiscreteDynamics #EquationalInference #FunctionalLogic #GraphTheory #Hologrammautomaton #IndicatorFunctions #InquiryDrivenSystems #Leibniz #Logic #LogicalGraphs #Mathematics #MinimalNegationOperators #PropositionalCalculus #Time #Topology #Visualization

  3. Hello w̶o̶r̶l̶d̶ Set-of-interconnected-self-actualising-machines!

    I intend this to be somewhat of an introduction, although I do realise that it would constitute a rather bizarre greeting in real life. This won't be a personal account, by that I mean I don't intend to post personal content (i.e. about my real world identity). This isn't really for anonymity, despite admittedly being quite a shy person, I think it's more to do with not wanting to attempt a serious explanation of my context, something which I doubt is achievable through this medium. For me underrepresentation is better than misrepresentation, although I understand if people find my presentation here dishonest or unaccountable.

    I'll use this account partly for listening, a sampling spoon through which to experience the soup of conversation and thought. I'll also do some tooting, I like this word, I might have said contributing, tossing new, or maybe reused, ingredients into the soup, but that gives the impression, I think, of some final objective, an endpoint. Most likely, listening will be the larger of these two parts, and at least for the short term, both parts, the whole, will occupy very little of my time. Expect sporadicity and inconsistency!

    I also wanted to say something about what I am interested in, this is difficult since if I just say a lot of words then what is there to relate my meaning, my intentions, to the meaning which you understand? "Language disguises thought" - Wittgenstein. Well after much deliberation and many sleepless nights I decided to... just say a lot of words, although do bear in mind that the following list is just that, merely a collection of words that I, at the time of writing, happened to perceive as having meanings that corresponded, perhaps imperfectly, to topics that I am interested in. Interested does not necessarily mean fully-endorse/believe/would-describe-myself-as/is-knowledgeable-about.

    #philosophy #absurdism #existentialism #anarchism #communism #anticapitalism #mutualaid #prefiguration #ontology #phenomenology #poststructuralism #structuralism #mathematics #chaos #topology #imagination #art #education #linguistics #literature #music #machines #networks #cybernetics #systems #sustainability #ecology #technology #sciencefiction #utopia #DavidGraeber #DavidWengrow #MurrayBookchin #NoamChomsky #PeterKropotkin #AdamCurtis #KenLoach #AlbertCamus #GillesDeleuze #JacquesDerrida #JeanPaulSartre #MarkFisher #SimoneDeBeauvoir #FranzKafka #GeorgeOrwell #PercyByssheShelley #MaryShelley #UrsulaKLeGuin