2023
DOI: 10.33774/coe-2023-fl6vn
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Hilbert mathematics versus Gödel mathematics III. Hilbert mathematics by itself, and Gödel mathematics versus the physical world within it: both as its particular cases

Abstract: The paper discusses Hilbert mathematics, a kind of Pythagorean mathematics, to which the physical world is a particular case. The parameter of the “distance between finiteness and infinity” is crucial. Any nonzero finite value of it features the particular case in the frameworks of Hilbert mathematics where the physical world appears “ex nihilo” by virtue of an only mathematical necessity or quantum information conservation physically. One does not need the mythical Big Bang which serves to concentrate all the… Show more

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