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Universal Logic in terms of Quantum Information

EasyChair Preprint no. 3854

5 pagesDate: July 13, 2020

Abstract

Any logic is represented as a certain collection of well-orderings admitting or not some algebraic structure such as a generalized lattice. Then universal logic should refer to the class of all subclasses of all well-orderings. One can construct a mapping between Hilbert space and the class of all logics. Thus there exists a
correspondence between universal logic and the world if the latter is considered a collection of wave functions, as which the points in Hilbert space can be interpreted. The correspondence can be further extended to the foundation of mathematics by set theory and arithmetic, and thus to all mathematics.

Keyphrases: bit and choice, Hilbert space, information, quantum information, qubit

BibTeX entry
BibTeX does not have the right entry for preprints. This is a hack for producing the correct reference:
@Booklet{EasyChair:3854,
  author = {Vasil Penchev},
  title = {Universal Logic in terms of Quantum Information},
  howpublished = {EasyChair Preprint no. 3854},

  year = {EasyChair, 2020}}
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