What can the Philosophy of Mathematics Learn from the History of Mathematics?
- Brendan LarvorAffiliated withSchool of Humanities, University of Hertfordshire Email author
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This article canvasses five senses in which one might introduce an historical element into the philosophy of mathematics: 1. The temporal dimension of logic; 2. Explanatory Appeal to Context rather than to General Principles; 3. Heraclitean Flux; 4. All history is the History of Thought; and 5. History is Non-Judgmental. It concludes by adapting Bernard Williams’ distinction between ‘history of philosophy’ and ‘history of ideas’ to argue that the philosophy of mathematics is unavoidably historical, but need not and must not merge with historiography.
- What can the Philosophy of Mathematics Learn from the History of Mathematics?
Volume 68, Issue 3 , pp 393-407
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- Springer Netherlands
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- Brendan Larvor (1)
- Author Affiliations
- 1. School of Humanities, University of Hertfordshire, Hatfield, Hertfordshire, AL10 9AB, UK