Review of Metaphysics 47 (4):834-835 (1994)

After an Introduction, this volume consists of two parts: "The History" of Infinity and "Infinity Assessed", followed by Glossary, Notes, Bibliography and Index. Although "metaphysical concepts are to the fore in the book alongside mathematical concepts," much more emphasis is placed on mathematical issues. This emphasis is clear not only in the Introduction, but also in Part 1, chapter 4, "The Calculus" ; chapter 8, "The Mathematics of the Infinite, and the Impact of Cantor" ; and chapter 9, "Reactions". In this chapter Moore discusses intuitionism, finitism, and current thought. A similar stress occurs in Part 2, as the titles of its chapters also indicate: chapter 10, "Transfinite Mathematics" ; chapter 11, "The Löwenheim-Skolem Theorem" ; and chapter 12, "Gödel's Theorem".
Keywords Catholic Tradition  Contemporary Philosophy  General Interest
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ISBN(s) 0034-6632
DOI revmetaph199447473
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