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Approaching infinity

Author: Michael Huemer
Publisher: New York : Palgrave Macmillan, 2016.
Edition/Format:   eBook : Document : EnglishView all editions and formats
Summary:
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.  Read more...
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Additional Physical Format: (DLC) 2015040546
(OCoLC)922155513
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Michael Huemer
ISBN: 9781137560858 1137560851 9781137560865 113756086X 9781137560872 1137560878
OCLC Number: 953610395
Description: 1 online resource
Contents: The need for a theory of infinity. The prevalence of the infinite --
Six infinite regresses --
Seveteen paradoxes of the infinite --
Old theories of infinity. Impossible infinite series : two false accounts --
Actual and potential infinities --
The Cantorian orthodoxy --
A new theory of infinity and related matters. Philosophical preliminaries --
Sets --
Numbers --
Infinity --
Space --
Some paradoxes mostly resolved --
Assessing infinite regress arguments --
Conclusion.
Responsibility: Michael Huemer.

Abstract:

Approaching Infinity addresses seventeen paradoxes of the infinite, most of which have no generally accepted solutions. Along the way, the author addresses the nature of numbers, sets, geometric  Read more...

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