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Results tagged with ho.history-overview
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user 2833
History and philosophy of mathematics, biographies of mathematicians, mathematics education, recreational mathematics, communication of mathematics.
14
votes
1
answer
710
views
Vocabulary of 19th Century analytic projective geometry: What are "order" and "dimension"?
I am trying to understand the following introductory passage in an early lecture by the philosopher/mathematician Gottlob Frege because I am interested in how Frege conceived of the role of geometric …
- 1,257
21
votes
What should philosophers know about math?
This commits a complex question fallacy. It presumes that philosophers are ignorant of mathematical and scientific issues pertinent to their work. We are not. The recent literature on structuralism in …
18
votes
4
answers
4k
views
What was Weierstrass's counterexample to the Dirichlet Principle?
Shortly after his work on the foundations of geometry David Hilbert turned his attention to finding a suitable statement of the Dirichlet principle, from which to prove the Riemann mapping theorem and …
- 1,257
12
votes
Fields of mathematics that were dormant for a long time until someone revitalized them
Some historians have speculated that classical Greek geometers used "hidden" analytic methods to discover results, which they then reconstructed synthetically. Further, it seems that Archimedes was f …
7
votes
Books about history of recent mathematics
I thought this book was terrific.
Labyrinth of Thought: A History of Set Theory and Its Role in Modern Mathematics: Jose Ferreiros Dominguez
I'm finding this useful in my research on a philosophy of …
40
votes
5
answers
7k
views
Were Bourbaki committed to set-theoretical reductionism?
A set-theoretical reductionist holds that sets are the only abstract objects, and that (e.g.) numbers are identical to sets. (Which sets? A reductionist is a relativist if she is (e.g.) indifferent a …
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