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The Foundations of Mathematics in the Theory of Sets (Encyclopedia of Mathematics and its Applications)

John P. Mayberry




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 | #3848771 in eBooks |  2001-03-22 |  2001-03-22 | File type: PDF

|| |"...an invigorating call to foundational arms..." Notre Dame Journal of Formal Logic

"...this book is thought provoking...a distinctive approach to the twin issues of mathematical ontology and mathematical foundations..." Australasian Journal of

This 2001 book presents a unified approach to the foundations of mathematics in the theory of sets, covering both conventional and finitary (constructive) mathematics. It is based on a philosophical, historical and mathematical analysis of the relation between the concepts of 'natural number' and 'set'. This leads to an investigation of the logic of quantification over the universe of sets and a discussion of its role in second order logic, as well as in the analysis of ...

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