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Platonism, Naturalism, and Mathematical Knowledge by James Robert Brown

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3    Perception, Practice, and Ideal Agents

Kitcher's Naturalism

EXPERIENCE AND THE EVOLUTION OF PRACTICE

Phillip Kitcher has contributed significantly to a wide range of philosophical topics. Much of his work is tied to naturalism, especially his work on mathematics. His particular brand of mathematical naturalism is sketched in clear terms: “Our present body of mathematical beliefs is justified in virtue of its relation to a prior body of beliefs; that prior body of beliefs is justified in virtue of its relation to a yet earlier corpus; and so it goes.” He continues, “Somewhere, of course, the chain must be grounded. Here, perhaps, we discover a type of mathematics about which Mill was right, a state of rudimentary mathematical knowledge ...

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