UID:
almafu_9959244412002883
Format:
1 online resource (x, 288 pages) :
,
digital, PDF file(s).
Edition:
1st ed.
ISBN:
1-107-13483-8
,
1-280-43434-1
,
9786610434343
,
0-511-17894-8
,
0-511-04270-1
,
0-511-14889-5
,
0-511-32600-9
,
0-511-48757-6
,
0-511-05445-9
Content:
In this ambitious study, David Corfield attacks the widely held view that it is the nature of mathematical knowledge which has shaped the way in which mathematics is treated philosophically and claims that contingent factors have brought us to the present thematically limited discipline. Illustrating his discussion with a wealth of examples, he sets out a variety of approaches to new thinking about the philosophy of mathematics, ranging from an exploration of whether computers producing mathematical proofs or conjectures are doing real mathematics, to the use of analogy, the prospects for a Bayesian confirmation theory, the notion of a mathematical research programme and the ways in which new concepts are justified. His inspiring book challenges both philosophers and mathematicians to develop the broadest and richest philosophical resources for work in their disciplines and points clearly to the ways in which this can be done.
Note:
Title from publisher's bibliographic system (viewed on 05 Oct 2015).
,
Introduction: a role for history -- Human and Artificial Mathematicians -- Communicating with automated theorem provers -- Automated conjecture formation -- The role of analogy in mathematics -- Plausibility, uncertainty and probability -- Bayesianism in mathematics -- Uncertainty in mathematics and science -- The Growth of Mathematics -- Lakatos's philosophy of mathematics -- Beyond the methodology of mathematical research programmes -- The importance of mathematical conceptualisation -- The Interpretation of Mathematics -- Higher dimensional algebra.
Additional Edition:
ISBN 0-521-03525-2
Additional Edition:
ISBN 0-521-81722-6
Language:
English
URL:
https://doi.org/10.1017/CBO9780511487576
URL:
https://doi.org/10.1017/CBO9780511487576
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