All mathematics is produced by physical objects (brains, computers). Therefore the laws of physics determine what theorems are possible, and mathematics has no existence independent of our universe.
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and only decades later found to be useful in modelling physical reality. If purely abstract mathematics was just arbitrary semantics, this would be very hard to explain. Personally, I believe R.Penrose is on the right track with this model of the situation, from one of his books:pic.twitter.com/bMKgTDb7N1
The "platonic mathematical world" as a separate entity is pure fiction.
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That's your assertion, and I don't see what basis you have for making it.
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My first tweet is the basis, obviously. (And in any case, it's Penrose that has to justify its existence, not I that have to justify its nonexistence. Just as with Santa Claus and the tooth fairy.)
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