Set Theory and Its Philosophy: A Critical Introduction @ richardeward.com

Set Theory and Its Philosophy: A Critical Introduction
by Michael Potter
from Oxford University Press, USA

Customer Reviews:

• Avg. Customer Rating: 5.0 / 5.0

• More math books should be written like this one.
  I full concur with Greenberg's review. Assimilating Potter's book is also much easier if one has had a prior introduction to mathematical logic and axiomatic set theory.
  Potter sets out an axiomatic set theory he calls ZU, whose axioms are: there is a ground level of sets, every level has a successor level, Infinity, and Reflection (a schema). These axioms are a perspicuous embodiment of the iterative conception of sets and the related hierarchical ontology. Potter then shows that these axioms achieve,... more info

• Unique blending of mathematics and philosophy
  I believe one has to have some familiarity with logic and set theory in order to fully appreciate this wonderful book. Granting that, reading it was the first time I have ever read a mathematics book that I could hardly put down, it was so fascinating.
  When I was an undergraduate, a course in naive set theory (similar in content to Halmos' classic) persuaded me to become a mathematician. But when I asked my instructor to precisely define what a 'property' of a set was, a notion that was used in the... more info

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