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Measuring the size of infinite collections of natural numbers: Was Cantor’s theory of infinite number inevitable?

Paolo Mancosu

in Abstraction and Infinity

Published in print:
2016
Published Online:
January 2017
ISBN:
9780198746829
eISBN:
9780191809095
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198746829.003.0004
Subject:
Philosophy, Logic/Philosophy of Mathematics, History of Philosophy

The standard Cantorian assignment of cardinal numbers to sets uses the criterion of one–one correspondence. The fruitfulness of this definition in mathematics and the lack of mathematically ... More


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