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List Price: £25.00
Our Price: £18.61
Author:
Michael Potter
By Clarendon Press
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- Mint Condition
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List Price: £26.99
Our Price: £21.59
Author:
Krzysztof Ciesielski
By Cambridge University Press
 An excellent 'cookbook' of set theory, 2003-10-31
This book is largely intended not for specialist set theorists, but for mathematicians in other areas interested in how modern set theory can be applied to their field. After establishing the ZF axioms and the construction of the real numbers, several chapters are devoted to the construction of peculiar counterexamples, mainly in the domain of real analysis (nonmeasurable sets, non-Baire sets, a subset of the plane intersecting every line exactly twice, and other such strange objects), before concluding with some chapters relating to forcing and the continuum hypothesis.As a textbook of set theory alone, it is not ideal, as it is rather unsystematic; but for those of us who delight in perverse counterexamples, which I suspect goes for the majority of mathematicians, it is an excellent read.
List Price: £52.99
Our Price: £27.00
Author:
E.J. Lemmon
By Chapman and Hall/CRC
 Dry, concise classic, 2009-01-11
Just to offer an alternative to the previous review: this is a classic introduction to logic. It's precise, clear, and can take the committed reader from a standing start to some quite complex issues, offering plenty of practical exercises along the way. What it isn't is fluffy or padded. Lemmon does not waste words, and the overall effect is more like a maths textbook than like a work in the humanities. So, if you're looking for storytelling and friendliness in an introduction to logic, then avoid this book (try Paul Tomassi's Logic instead). But if you'd prefer a tight, problem-driven, demanding learning experience, try it. I learned logic from this book when I was an undergraduate. I'm now a philosophy lecturer.
List Price: £11.99
Our Price: £7.49
Author:
Raymond M Smullyan, Melvin Fitting
By Dover Publications Inc.
A pleasure to read, 2010-06-19
This book has been out of print as an Oxford Logic Guide for a while; and I was intrigued when it was reprinted by Dover. This is a very well thought through and clear account of set theory and some of its models. The treatment of Goedel's definitional model of set theory and Cohen's technique of forcing are the clearest I have come across, although the treatment of forcing is unusual in that forcing conditions are treated as part of the semantics of a modal logic, called S4, rather than being treated as a Boolean logic or as distinct forcing semantics. Personally I think the use of S4 is a step forwards in understanding forcing, as Smullyan and Fitting's translation from classical logic into S4 applied to set theory is syntactically elegant and natural. This is an excellent book all round, which I would recommend, to logicians especially.
List Price: £33.99
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Author:
D.L. Johnson
By Springer
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List Price: £11.99
Our Price: £3.55
Author:
Paul J Cohen
By Dover Publications Inc.
The Shock Of The Old, 2009-03-20
This is an excellent introduction to the notion of Forcing from, as it were, the horse's mouth. Cohen is, however, something of an unreconstructed non-constructivist, and so does not seem to take the Intuitionist view all that seriously. Basically, he has no problem with completed infinities and so embraces the whole menagerie of large cardinals that ultimately flow from this standpoint. So if the whole idea of the Continuum as it stands gives you a bit of a philosophical itch in a place you can't quite reach, this book won't help you scratch it. It is, however, in it's own way, fascinating.
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