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612-822-4611
Infinity put to the test: Towards a discrete revolution in the mathematics of XXI century

Infinity put to the test: Towards a discrete revolution in the mathematics of XXI century

Paperback

General Mathematics

ISBN13: 9798327876415
Publisher: Independently Published
Published: Jun 7 2024
Pages: 420
Weight: 1.60
Height: 0.86 Width: 7.00 Depth: 10.00
Language: English
From different areas of mathematics, such as set theory, geometry, transfinite arithmetic or supertask theory, in this book more than forty arguments are developed about the inconsistency of the hypothesis of the actual infinity in contemporary mathematics. A hypothesis according to which the uncompletable lists, as the list of the natural numbers, exist as completed lists. The inconsistency of this hypothesis would have an enormous impact on physics, forcing us to change the spacetime continuum for a discrete model, with indivisible units (atoms) of space and time. The discrete model would be a great simplification of physical theories, including relativity and quantum mechanics. It would also suppose the solution of the old problem of change, posed by the pre-Socratics philosophers twenty-seven

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León, Antonio

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General Mathematics