Abstract
Are mathematical ideas invented or discovered? This question has been repeatedly posed by philosophers through the ages and will probably be with us forever. We will not be concerned with the answer. What matters is that by asking the question, we acknowledge that mathematics has been leading a double life.
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End Notes
J. T. Schwartz, “The Pernicious Influence of Mathematics Upon Science” in Mark Kac, Gian-Carlo Rota, J. T. Schwartz, Discrete Thoughts. Essays on Mathematics, Science, and Philosophy, Birkhäuser Boston, 1992, Chapter 3.
Ludwig Wittgenstein, Tractatus logico-philosophicus, Kegan, Trench, Trubner & Co. Ltd., London, 1922; Proposition 7.00.
Ludwig Wittgenstein, Philosophische Untersuchungen, Basil Blackwell, Oxford, 1953.
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Rota, GC. (1997). The Pernicious Influence of Mathematics Upon Philosophy. In: Palombi, F. (eds) Indiscrete Thoughts. Modern Birkhäuser Classics. Birkhäuser, Boston, MA. https://doi.org/10.1007/978-0-8176-4781-0_7
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DOI: https://doi.org/10.1007/978-0-8176-4781-0_7
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