From Mathematics to Philosophy (Routledge Revivals)

Első borító
Routledge, 2016. jún. 10. - 444 oldal

First published in 1974. Despite the tendency of contemporary analytic philosophy to put logic and mathematics at a central position, the author argues it failed to appreciate or account for their rich content. Through discussions of such mathematical concepts as number, the continuum, set, proof and mechanical procedure, the author provides an introduction to the philosophy of mathematics and an internal criticism of the then current academic philosophy. The material presented is also an illustration of a new, more general method of approach called substantial factualism which the author asserts allows for the development of a more comprehensive philosophical position by not trivialising or distorting substantial facts of human knowledge.

 

Tartalomjegyzék

Introduction
1
I Mathematical logic and philosophy of mathematics
30
II Characterization of general mathematical concepts
59
III Russells logic and some general issues
103
IV Logical truth
131
V Metalogic
166
VI The concept of set
181
VII Theory and practice in mathematics
224
VIII Necessity analyticity and apriority
251
IX Mathematics and computers
280
X Minds and machines
298
XI Notes on knowledge and life
329
XII Themes and approaches
362
Appendix Exercises in criticism
398
Index
425
Copyright

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