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Wednesday, October 11, 2023

Hilbert Mathematics Versus Gödel Mathematics. IV. The New Approach of Hilbert Mathematics Easily Resolving the Most Difficult Problems of Gödel Mathematics

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  The paper continues the consideration of Hilbert mathematics to mathematics itself as an additional “dimension” allowing for the most diff...
Saturday, April 29, 2023

Hilbert mathematics versus Gödel mathematics III. Hilbert mathematics by itself, and Gödel mathematics versus the physical world within it: both as its particular cases

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 Abstract. The paper discusses Hilbert mathematics, a kind of Pythagorean mathematics, to which the physical world is a particular case. The...
Monday, March 13, 2023

The 2022 Nobel Prize in physics for entanglement and quantum information: the new revolution in quantum mechanics and science

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  Abstract . The paper discusses the 2022 Nobel Prize in physics for experiments of entanglement “establishing the violation of Bell inequa...
Saturday, January 7, 2023

Gödel mathematics versus Hilbert mathematics. II Logicism and Hilbert mathematics, the identification of logic and set theory, and Gödel’s “completeness paper” (1930)

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The previous Part I of the paper ( https://doi.org/10.33774/coe-2022-wlr02 ) discusses the option of the Gödel incompleteness statement (193...
Thursday, October 13, 2022

Gödel mathematics versus Hilbert mathematics. I The Gödel incompleteness (1931) statement: axiom or theorem?

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 The present first part about the eventual completeness of mathematics (called “Hilbert mathematics”) is concentrated on the Gödel incomplet...
Thursday, July 28, 2022

Gentzen’s “cut rule” and quantum measurement in terms of Hilbert arithmetic. Metaphor and understanding modeled formally

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  Abstract. Hilbert arithmetic in a wide sense, including Hilbert arithmetic in a narrow sense consisting by two dual and anti-isometric Pe...
Saturday, June 18, 2022

Fermat’s last theorem proved in Hilbert arithmetic. III. The quantum-information unification of Fermat’s last theorem and Gleason’s theorem

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Abstract . The previous two parts of the paper (correspondingly, https://philpapers.org/rec/PENFLT-2  and https://philpapers.org/rec/PENFLT-...