Abstract
A materialist mathematician! Surely that is a contradiction in terms?
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Notes
A summary is Gilbert Ryle, ‘The Theory of Meaning’, in Max Black (ed.), The Importance of Language, Englewood Cliffs, N.J. 1962, pp. 147–169.
Errett Bishop, Foundations of Constructive Analysis, New York 1967, p. viii.
D. J. Struik, A Concise History of Mathematics, New York 1948, pp. 50–53.
Max Black, ‘The Nature of Mathematics’ (cited above), p. 169. This tendency to save what can be saved of a result is the subject of a beautiful study by I. Lakatos, ‘Proofs and Refutations’, British Journal for the Philosophy of Science 14 (1963/64) 1–117.
See, e.g., W. R. A. Muntz, ‘Vision in Frogs’, Scientific American (March 1964) 111–119; R. L. Gregory, Eye and Brain, New York 1966.
W. Moran and J. S. Pym, ‘On the Construction of the Real Number System’ Mathematics Magazine 43 (1970) 257–259.
Jean Dieudonné, Foundations of Modern Analysis, New York 1969, p. 16.
Ernest Nagel, The Structure of Science, New York 1961, Chapter 11.
W. A. J. Luxembourg, Non-Standard Analysis, Pasadena 1964, p. 15.
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© 1974 D. Reidel Publishing Company, Dordrecht-Holland
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Davis, C. (1974). Materialist Mathematics. In: Cohen, R.S., Stachel, J.J., Wartofsky, M.W. (eds) For Dirk Struik. Boston Studies in the Philosophy of Science, vol 15. Springer, Dordrecht. https://doi.org/10.1007/978-94-010-2115-9_5
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DOI: https://doi.org/10.1007/978-94-010-2115-9_5
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