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024 7 $a10.1057/9781137560872
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035   $a(PQKBTitleCode)TC0001674966
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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$b[electronic resource] /$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   $a1-137-56085-1 
311   $a1-137-56086-X 
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?Philosophy
606   $aLogic
606   $aMetaphysics$3https://scigraph.springernature.com/ontologies/product-market-codes/E18000
606   $aPhilosophy of Mathematics$3https://scigraph.springernature.com/ontologies/product-market-codes/E34020
606   $aLogic$3https://scigraph.springernature.com/ontologies/product-market-codes/E16000
615  0$aMetaphysics.
615  0$aMathematics?Philosophy.
615  0$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