A Conversation about Numbers and Knowledge

American Philosophical Quarterly 39 (3):275-287 (2002)
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Abstract

This is a dialogue in the philosophy of mathematics. The dialogue descends from the confident assertion that there are infinitely many numbers to an unresolved bewilderment about how we can know there are any numbers at all. At every turn the dialogue brings us only to realize more fully how little is clear to us in our thinking about mathematics.

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Charles Sayward
University of Nebraska, Lincoln

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