The experiential foundations of mathematical knowledge

History and Philosophy of Logic 2 (1-2):55-65 (1981)
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A view of the sources of mathematical knowledge is sketched which emphasizes the close connections between mathematical and empirical knowledge. A platonistic interpretation of mathematical discourse is adopted throughout. Two skeptical views are discussed and rejected. One of these, due to Maturana, is supposed to be based on biological considerations. The other, due to Dummett, is derived from a Wittgensteinian position in the philosophy of language. The paper ends with an elaboration of Gödel's analogy between the mathematician and the physicist



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Citations of this work

The Physicalization of Mathematics.Peter Milne - 1994 - British Journal for the Philosophy of Science 45 (1):305-340.
Mathematics as Natural Science.Nicolas D. Goodman - 1990 - Journal of Symbolic Logic 55 (1):182-193.

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