Approaching Infinity
Buch in deiner Nähe kaufen
Beschreibung
Approaching Infinity addresses seventeen paradoxes of the infinite, most of which have no generally accepted solutions. The book addresses these paradoxes using a new theory of infinity, which entails that an infinite series is uncompletable when it requires something to possess an infinite intensive magnitude. Along the way, the author addresses the nature of numbers, sets, geometric points, and related matters.
The book addresses the need for a theory of infinity, and reviews both old and new theories of infinity. It discussing the purposes of studying infinity and the troubles with traditional approaches to the problem, and concludes by offering a solution to some existing paradoxes.
Approaching Infinity addresses seventeen paradoxes of the infinite, most of which have no generally accepted solutions. The book addresses these paradoxes using a new theory of infinity, which entails that an infinite series is uncompletable when it requires something to possess an infinite intensive magnitude. Along the way, the author addresses the nature of numbers, sets, geometric points, and related matters.
The book addresses the need for a theory of infinity, and reviews both old and new theories of infinity. It discussing the purposes of studying infinity and the troubles with traditional approaches to the problem, and concludes by offering a solution to some existing paradoxes.
Written by one of the world's most talented philosophers Addresses a key metaphysical concept the nature of the infinite that has baffled thinkers since Aristotle Written in Michael Huemer's trademark informal and highly engaging style Directly addresses the questions whether actual infinities are possible Develops a truly original and distinctive view of the infinite
Autor*in
M. Huemer
Themen in »Approaching Infinity«
metaphysics philosophy of mathematics infinite space time numbers sets Physics infinity logic mathematics philosophy physics truth
Stimmen zu »Approaching Infinity«
“Huemer writes books that are well-argued and thought-provoking; it seems that each reader has to find for him/herself how far this variegated discussion leads to an improvement of the current state of affairs.” (Michel Weber, zbMATH 1426.03004, 2020)
“Michael Huemer’s new book Approaching Infinity squarely takes on problems related to understanding the infinite. … Huemer’s book is indeed a very good contribution to the study of the infinite. … Huemer’s book gives a challenging and well thought out account of the infinite. His presentation is one that will surely engage anyone interested in this topic. … Approaching Infinity should be required reading for anyone with an interest in this fascinating topic.” (Biagio Gerard Tassone, dialectica, Vol. 71 (2), June, 2017)
“Approaching Infinity is entertaining and competently written. It is recommended to anybodywho finds the puzzles of the infinite intrinsically interesting, but also to those who think that the paradoxes of the infinite were totally tamed by Aristotle or contemporary mathematics.” (Christopher M.P. Tomaszewski, The Review of Metaphysics, Vol. 71 (3), 2017)
()