Chapter

Infinity

Guy Robinson

in Philosophy and Mystification

Published by Fordham University Press

Published in print September 2003 | ISBN: 9780823222919
Published online March 2011 | e-ISBN: 9780823235513 | DOI: http://dx.doi.org/10.5422/fso/9780823222919.003.0004
Infinity

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This chapter focuses not on the usual question about the concept of “infinity” but on a less technical approach to whether there are philosophical problems concerned with infinity. Questions raised in this chapter include what Cantor’s claim on “actual” infinity is and how mathematical problems are related to philosophical problems. This chapter presents several other definitions of infinity from other philosophers such as Aristotle and Bolzano and compares them with Cantor’s definition. Concepts such as limit and variable are also analyzed. This chapter generally discusses the history of an attempt to discuss how a claim to philosophical significance actually presents facts and results.

Keywords: Cantor; mathematical problems; limit

Chapter.  7297 words. 

Subjects: Philosophy

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