02667nam 22005895 450 991025534670332120200703220813.01-349-71960-91-137-56087-810.1057/9781137560872(CKB)3860000000009980(SSID)ssj0001674966(PQKBManifestationID)16483902(PQKBTitleCode)TC0001674966(PQKBWorkID)14813418(PQKB)10966420(DE-He213)978-1-137-56087-2(MiAaPQ)EBC4720588(EXLCZ)99386000000000998020160523d2016 u| 0engurnn|008mamaatxtccrApproaching Infinity[electronic resource] /by M. Huemer1st ed. 2016.London :Palgrave Macmillan UK :Imprint: Palgrave Macmillan,2016.1 online resource (XIII, 275 p.) Bibliographic Level Mode of Issuance: Monograph1-137-56085-1 1-137-56086-X Includes bibliographical references and index.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.MetaphysicsMathematics—PhilosophyLogicMetaphysicshttps://scigraph.springernature.com/ontologies/product-market-codes/E18000Philosophy of Mathematicshttps://scigraph.springernature.com/ontologies/product-market-codes/E34020Logichttps://scigraph.springernature.com/ontologies/product-market-codes/E16000Metaphysics.Mathematics—Philosophy.Logic.Metaphysics.Philosophy of Mathematics.Logic.111/.6Huemer Mauthttp://id.loc.gov/vocabulary/relators/aut1061456BOOK9910255346703321Approaching Infinity2518860UNINA