Infinity put to the test: Towards a discrete revolution in the mathematics of XXI century (Paperback) (ISBN-13: 9798327876415)

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

Author: Antonio León
ISBN-13: 9798327876415
Publisher: Independently Published
Language: English
Published: 06/07/2024
Pages: 420
Format: Paperback
Weight: 1.60lbs
Size: 10.00h x 7.00w x 0.86d