| Infinity Put to the Test: Towards a discrete revolution in the mathematics of the XXI century Contributor(s): León, Antonio (Author) |
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ISBN: ISBN-13: 9798709767119 Publisher: Independently Published OUR PRICE: $17.10 Product Type: Paperback Published: February 2021 * Not available - Not in print at this time * |
| Additional Information |
| BISAC Categories: - Mathematics | Essays |
| Physical Information: 0.82" H x 6" W x 9" (1.17 lbs) 400 pages |
| Descriptions, Reviews, Etc. |
| Publisher Description: 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 continuum space-time 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 centuries ago. |