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Meaningness's profile
David Chapman
David Chapman
David Chapman
@Meaningness

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David Chapman

@Meaningness

Better ways of thinking, feeling, and acting—around problems of meaning and meaninglessness; self and society; ethics, purpose, and value.

meaningness.com/about-my-sites
Joined September 2010

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    1. David Chapman‏ @Meaningness 31 Dec 2017
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      Replying to @AmbrosialArts @StephenPiment and

      I strongly agree!

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      David Chapman‏ @Meaningness 31 Dec 2017
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      Replying to @Meaningness @AmbrosialArts and

      But, getting the intuitions, and understanding mathematical topics from multiple perspectives, is not a matter of mathematical logic (as it is currently constituted anyway)

      6:09 PM - 31 Dec 2017
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        2. Stephen Pimentel‏ @StephenPiment 31 Dec 2017
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          Replying to @Meaningness @AmbrosialArts and

          The whole point of category theory is to provide just this perspective. (Contemporary CT research goes off in all kinds of directions, but that's to be expected.) What's needed is very basic category theory, with an eye to addressing the basics maths of interest.

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        3. David Chapman‏ @Meaningness 31 Dec 2017
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          Replying to @StephenPiment @AmbrosialArts and

          Yes… I did category theory with G-C Rota, before anyone else in computer science had heard of it :) FWIW, I think it’s not the right thing, although it has the right aim.

          1 reply 0 retweets 1 like
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        1. Penn Rogers‏ @penn_rogers 15 Jan 2018
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          Replying to @Meaningness @AmbrosialArts and

          (2) From this point of view, functors between categories simply compile one internal language on another, which is exactly what we need to understand different interpretations of a topic.

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        1. Penn Rogers‏ @penn_rogers 15 Jan 2018
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          Replying to @Meaningness @AmbrosialArts and

          (1) I would disagree. Allegory Theory is best realized as an algebraized and structured approach to Mathematical Logic. In fact, this is the point of it. As touched on in Freyd’s book, the most important allegories arise from formal languages.

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