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ModelOfTheory's profile
Model Of Theory
Model Of Theory
Model Of Theory
@ModelOfTheory

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Model Of Theory

@ModelOfTheory

ZFC, THIS.

Joined July 2016

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    1. Model Of Theory‏ @ModelOfTheory Apr 21

      What if much of the mathematics we know isn't actually true? Perhaps there isn't even any objective notion of mathematical truth, and no consistent formal system has any better claim to soundness than any other. How could we tell? (1/6)

      1 reply 2 retweets 6 likes
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    2. Model Of Theory‏ @ModelOfTheory Apr 21

      At least consistency is a necessary constraint for a theory. Consistency of a theory is a claim about ℕ. So for consistency to be meaningful, ℕ must refer to some structure, about which claims can be meaningful, though establishing truth of non-Σ_1 sentences is difficult. (2/6)

      1 reply 0 retweets 1 like
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    3. Model Of Theory‏ @ModelOfTheory Apr 21

      Gödel's ontological proof shows that God exists. (3/6)

      1 reply 1 retweet 0 likes
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    4. Model Of Theory‏ @ModelOfTheory Apr 21

      Therefore ZFC is sound, since God put ZFC in our minds, and would not deceive us. (4/6)

      1 reply 1 retweet 0 likes
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    5. Model Of Theory‏ @ModelOfTheory Apr 21

      And there is a true universe of sets, created by God. (5/6)

      1 reply 0 retweets 0 likes
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      Model Of Theory‏ @ModelOfTheory Apr 21

      Also, minds are not mathematical objects. (6/6)

      11:12 AM - 21 Apr 2018
      • 1 Like
      • Story Of System
      1 reply 0 retweets 1 like
        1. New conversation
        2. Story Of System‏ @StoryOfSystem May 6
          Replying to @ModelOfTheory

          Only mathematical objects are mathematical objects

          1 reply 0 retweets 1 like
        3. Model Of Theory‏ @ModelOfTheory May 6
          Replying to @StoryOfSystem

          Yes, of course. But to use this fact to conclude that minds are not mathematical objects, one first must establish that minds are not mathematical objects.

          1 reply 0 retweets 1 like
        4. Story Of System‏ @StoryOfSystem May 6
          Replying to @ModelOfTheory

          Notions of mathematical object that involve spending "a lot" of time in Agda Follow up: Could mind be a mathematical object even if minds aren't?

          1 reply 0 retweets 0 likes
        5. Model Of Theory‏ @ModelOfTheory May 6
          Replying to @StoryOfSystem

          What distinction are you making between mind and minds?

          1 reply 0 retweets 1 like
        6. Story Of System‏ @StoryOfSystem May 6
          Replying to @ModelOfTheory

          Mind as the substance, minds as its many instantiations in reality. Like water and drops

          0 replies 0 retweets 0 likes
        7. End of conversation

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