The DOI matches its Crossref record; 3 of the 3 references it cites were found in a registry or an index.
The Nature of Mathematical Knowledge
Abstract
The Nature of Mathematical Knowledge develops and defends an empiricist approach to mathematical knowledge. After offering an account of a priori knowledge, it argues that none of the available accounts of a priori mathematical knowledge is viable. It then constructs an approach to the content of mathematical statements, viewing mathematics as grounded in our manipulations of physical reality. From these crude beginnings, mathematics unfolds through the successive modifications of mathematical practice, spurred by the presence of unsolved problems. This process of unfolding is considered in general, and illustrated by considering the historical development of analysis from the seventeenth century to the end of the nineteenth.
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Cites
The Ecological Approach to Visual Perception
Bornstein, M. H., & Gibson, J. J. (1980) · The Journal of Aesthetics and Art Criticism · doi:10.2307/429816 · Cited by 22,935
Explanation and Scientific Understanding
Friedman, M. (1974) · The Journal of Philosophy · doi:10.2307/2024924 · Cited by 1,386
Goldman, A. I. (1967) · The Journal of Philosophy · doi:10.2307/2024268 · Cited by 925
Cited by
Philosophy of Mathematics Education
Czarnocha, B., Bicudo, M., & Ernest, P. (2024) · Proceedings of the 14th International Congress on Mathematical Education · doi:10.1142/9789811287152_0080 · Cited by 872
Sfard, A. (2007) · Journal of the Learning Sciences · doi:10.1080/10508400701525253 · Cited by 377
RAV, Y. (1999) · Philosophia Mathematica · doi:10.1093/philmat/7.1.5 · Cited by 367
Stylianides, A. J. (2007) · Journal for Research in Mathematics Education · doi:10.2307/30034869 · Cited by 342
Knowing, Doing, and Teaching Multiplication
Lampert, M. (1986) · Cognition and Instruction · doi:10.1207/s1532690xci0304_1 · Cited by 329
Metadata
- Authors
- Kitcher, P.
- Publisher
- Oxford University PressNew York
- Published
- 1985-04-11
- OpenAlex
- W2087730581
- Cited by
- 644
- References
- 3
- FWCI
- 39.14
- Type
- book
- Language
- en
- Open access
- closed
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