Abstract
The notion of mathematical intuition has played an important role in several philosophical conceptions of how we acquire mathematical knowledge and a number of classical philosophical problems are closely associated with it: the question whether mathematical knowledge is a priori, analytic or “necessary”; problems about platonism, mathematical truth, and abstract objects; the question whether minds surpass machines, or whether mathematics consists solely of mechanical operations on syntax; questions about the meaning and reference of statements of mathematical theories; and questions about the nature of infinity, to name a few.
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Notes
See Steiner, M., Mathematical Knowledge [129], pp. 117–118, 130–132, and Parsons, C., “Mathematical Intuition” [105], p.146.
Brouwer, L.E.J., Collected Works, Vol. I, [14], with slightly different versions in different papers.
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© 1989 Kluwer Academic Publishers
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Tieszen, R.L. (1989). The Concept of Intuition in Mathematics. In: Mathematical Intuition. Synthese Library, vol 203. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-2293-8_1
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DOI: https://doi.org/10.1007/978-94-009-2293-8_1
Publisher Name: Springer, Dordrecht
Print ISBN: 978-94-010-7529-9
Online ISBN: 978-94-009-2293-8
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