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010   $a9781349719600
010   $a1349719609
010   $a9781137560872
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035   $a(DE-He213)978-1-137-56087-2
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100   $a20160523d2016      u|         0
101 0 $aeng
135   $aurnn|008mamaa
181   $ctxt
182   $cc
183   $acr
200 10$aApproaching Infinity /$fby M. Huemer
205   $a1st ed. 2016.
210  1$aLondon :$cPalgrave Macmillan UK :$cImprint: Palgrave Macmillan,$d2016.
215   $a1 online resource (XIII, 275 p.) 
300   $aBibliographic Level Mode of Issuance: Monograph
311 08$a9781137560858 
311 08$a1137560851 
311 08$a9781137560865 
311 08$a113756086X 
320   $aIncludes bibliographical references and index.
330   $aApproaching 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.
606   $aMetaphysics
606   $aMathematics$xPhilosophy
606   $aLogic
606   $aMetaphysics
606   $aPhilosophy of Mathematics
606   $aLogic
615  0$aMetaphysics.
615  0$aMathematics$xPhilosophy.
615  0$aLogic.
615 14$aMetaphysics.
615 24$aPhilosophy of Mathematics.
615 24$aLogic.
676   $a111/.6
700   $aHuemer$b M$4aut$4http://id.loc.gov/vocabulary/relators/aut$01061456
906   $aBOOK
912   $a9910255346703321
996   $aApproaching Infinity$92518860
997   $aUNINA