The answer to the question why is there a philosophy of mathematics is i take it that proof and applicability are issues that both mathematicians and philosophers feel compelled to return to again and again notwithstanding the many practitioners who do not feel thus compelled in one sense the answer is psychological the astonishment generated by these two aspects of mathematics continually draws mathematicians and philosophers alike into a discussion that is not itself mathematical . In a wide ranging discussion that is both immersed in the past and unusually attuned to the competing philosophical ideas of contemporary mathematicians it shows that proof and other forms of mathematical exploration continue to be living evolving practices responsive to new technologies yet embedded in permanent and astonishing facts about human beings it distinguishes several distinct types of application of mathematics and shows how each leads to a different philosophical . Why is there philosophy of mathematics at all by ian hacking cambridge cambridge university press 2014 290 pp us 2519 isbn 978 1 107 65815 8 carlos montemayor 1 the mathematical intelligencer volume 38 pages 85 90 2016cite this article 390 accesses 3 altmetric metrics details this is a preview of subscription content log in to check access access options buy single . Why is there philosophy of mathematics at all ian hacking cambridge university press foreword a cartesian introduction contents page xiii proofs applications and other mathematical activities 2 onjargon 2 3 descanes 3 a application 4 4 arithmetic applied to geometry 4 5 descanes geometry 5 6 an astonishing identiry 6 7 unreasonable effectiveness 6 8 the application ofgeometry
How it works:
1. Register Trial Account.
2. Download The Books as you like ( Personal use )