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Paradoxes and Infinite Numbers

Published online by Cambridge University Press:  30 January 2009

Raymond Godfrey
Raymond Godfrey
Affiliation:
Canterbury Christ Church College
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Abstract

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Type
Discussion
Information
Philosophy , Volume 68 , Issue 266 , October 1993 , pp. 541 - 545
Copyright
Copyright © The Royal Institute of Philosophy 1993

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References

1 ‘Wholes, Parts and Infinite Collections’, Philosophy 67, No. 261, 367–79.Google Scholar

2 The Principles of Mathematics, 2nd edition (London: George Allen and Unwin, 1937), 357–60.Google Scholar

3 If we refuse to talk of passing through points at all, we merely sidestep the paradox, which Zeno probably saw in terms of intervals.

4 Op. cit. Appendix B

5 C f., e.g., Ginsburg, H., Children's Arithmetic (Austin Texas: Proed, 1977), Chapter 1.Google Scholar

6 Apart from the initial element, which has only a successor.