lawvere

The collected works of F. W. Lawvere (by mattearnshaw)

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lawvere reviews and mentions

Posts with mentions or reviews of lawvere. We have used some of these posts to build our list of alternatives and similar projects.
  • Conditioning Is Grouping By
    1 project | news.ycombinator.com | 20 Dec 2023
    A conditional probability is a probabilistic function.

    It goes from a value x to a probability distribution of Y.

    It is more general than a non-deterministic computation. You get a list of results with weights attached to it. (ignoring continuous distributions)

    Grouping can be regarded as a non-deterministic computation.

    It goes from a value x to a list of Y.

    Computing averages or other aggregations from lists or distributions is another step.

    https://dennybritz.com/posts/probability-monads-from-scratch...

    https://github.com/mattearnshaw/lawvere/blob/master/pdfs/196...

  • Conceptual Mathematics
    1 project | /r/ConceptualMathematics | 29 Jul 2023
    The study of conceptual mathematics can be motivated by noting the conceptual nature of comprehension and by recognizing the learnable-and-teachable nature of mathematics.
  • History and Philosophy of Mathematic Reform
    1 project | /r/matheducation | 9 Jul 2023
  • /\ Professor F. William Lawvere /\
    1 project | /r/ConceptualMathematics | 6 Jul 2023
    Category of Categories https://github.com/mattearnshaw/lawvere/blob/master/pdfs/1966-category-of-categories-as-a-foundation-for-mathematics.pdf
  • Reconstituting Reality :)
    1 project | /r/ConceptualMathematics | 7 May 2023
    P.S. Reality consists of reflective parts (Lawvere & Schanuel, Conceptual Mathematics, 2nd ed., pp. 84-85).
  • Thought vis-a-vis Quantity
    1 project | /r/ConceptualMathematics | 22 Apr 2023
    (plz see F. William Lawvere, Perugia Notes, pp. iii-iv)
  • Mining another zero
    1 project | /r/ConceptualMathematics | 22 Apr 2023
    We all know one zero: quantity 0. There's another zero we need: quality 0. Can r/OpenAI help us in this longstanding mathematical quest (pure 😉 To put it all in perspective, mathematics is about qualities (resulting from quantitative changes) represented as structures (geometric objectification of concepts) in a structureless background. Ideally, one would like to print on a blank page, with the blankness being zero cohesion and zero change i.e., quality 0 (see F. William Lawvere, Axiomatization and Education).
  • Against Reality (rush ;)
    1 project | /r/u_posinavrayudu | 21 Apr 2023
    In spite of the fact that variable quantities provide a more accurate description of reality, constant quantities---both historically and conceptually---are primary in the theory of variable quantities (Lawvere, 1972, Perugia Notes, p. iii).
  • Potential versus actual infinity
    1 project | /r/math | 16 Apr 2023
    And here are some papers by Lawvere which claim to be inspired by Hegel's Science of Logic: https://github.com/mattearnshaw/lawvere/blob/master/pdfs/1992-categories-of-space-and-quantity.pdf
  • "A structured history of time" - "the film version of a structural realist process philosophy"
    1 project | /r/ConsciousnessStudies | 1 Apr 2023
    Speaking of TIME, "in Indo-European languages 'time' is not typically just an abstract one-dimensional continuum; the abstract time is a dialectical negation of the idea of time as the rich environment of external conditions that may influence our system, but which we can influence only negligibly: In Italian tempo (time) also means weather, in Danish the word for time is tid, which is old English for tide. In a Zeit-ung like the Times the tidings describe the whole tempestuous march of events over which the reader has little control. In English we have 'the worst of times' and 'the best of times', and 'the times are a-changing', something a mere smooth line cannot be or do" (https://github.com/mattearnshaw/lawvere/blob/master/pdfs/2001-categorical-algebra-for-continuum-micro-physics.pdf, p. 278).
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