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#metamathematics — Public Fediverse posts

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  1. The #metamathematics - isn't it #metalogical?!?

    - a setting of the #ontology of mathematics or #metalogics -

    Now that I have tried to take a look behind or in front of physics in the form of #metaphysics, a #fundamental consideration of #mathematics as “metamathematics” is now due. In this context, I will of course also address the well-known #fundamental crisis of mathematics.

    More at: philosophies.de/index.php/2023

  2. CW: Formal methods errors in computer science

    ACM Communications 4/23 paper by Bentkamp et al
    "Today, even if most mathematicians do not consciously use logic on a daily basis, they can feel reassured to know that their definitions and arguments can be encoded in it" p82

    Nope. Nope. And Nope.
    #formalLogic
    #MetaMathematics
    #ComputerScience

  3. Whenever I read mathematics, no matter what kind it is, I always think that I don't understand it unless I could, in principle, teach a computer how to perform it.

    I'm not exactly an intuitionist, but this attitude of mine does mean that I don't like the #AxiomOfChoice very much. What good are objects that are literally undescribable?

    The only solution around that is to mechanise the #metamathematics instead of the mathematics and that always feels so unsatisfying and distanced to me.