Intuitionistic Set Theory

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Intuitionistic Set Theory

While intuitionistic (or constructive) set theory IST has received a certain attention from mathematical logicians, so far as I am aware no book providing a systematic introduction to the subject has yet been published. This may be the case in part because, as a form of higher-order intuitionistic logic - the internal logic of a topos - IST has been chiefly developed in a tops-theoretic context. In particular, proofs of relative consistency with IST for mathematical assertions have been (implicitly) formulated in topos- or sheaf-theoretic terms, rather than in the framework of Heyting-algebra-valued models, the natural extension to IST of the well-known Boolean-valued models for classical set theory. In this book I offer a brief but systematic introduction to IST which develops the subject up to and including the use of Heyting-algebra-valued models in relative consistency proofs. I believe that IST, presented as it is in the familiar language of set theory, will appeal particularly to those logicians, mathematicians and philosophers who are unacquainted with the methods of topos theory.
Country USA
Brand College Publications
Manufacturer College Publications
Binding Paperback
ItemPartNumber black & white illustrations
UnitCount 1
EANs 9781848901407
ReleaseDate 0000-00-00

Country	USA
Brand	College Publications
Manufacturer	College Publications
Binding	Paperback
ItemPartNumber	black & white illustrations
UnitCount	1
EANs	9781848901407
ReleaseDate	0000-00-00

Intuitionistic Set Theory

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