Classical Mathematical Logic : The Semantic Foundations of Logic /

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In Classical Mathematical Logic, Richard L. Epstein relates the systems of mathematical logic to their original motivations to formalize reasoning in mathematics. The book also shows how mathematical logic can be used to formalize particular systems of mathematics. It sets out the formalization not...

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Bibliographic Details
Main Author: Epstein, Richard L., 1947- (Author)
Format: Electronic eBook
Language:Inglés
Published: Princeton : Princeton University Press, 2006.
Series:Book collections on Project MUSE.
Subjects:
Semantiek.
Wiskundige logica.
Philosophische Semantik
Mathematische Logik
Semantics (Philosophy)
Logic, Symbolic and mathematical.
MATHEMATICS > Logic.
MATHEMATICS > Infinity.
Semantique (Philosophie)
Logique symbolique et mathematique.
Electronic books.
Online Access:Texto completo
Description
Summary:In Classical Mathematical Logic, Richard L. Epstein relates the systems of mathematical logic to their original motivations to formalize reasoning in mathematics. The book also shows how mathematical logic can be used to formalize particular systems of mathematics. It sets out the formalization not only of arithmetic, but also of group theory, field theory, and linear orderings. These lead to the formalization of the real numbers and Euclidean plane geometry. The scope and limitations of modern logic are made clear in these formalizations. The book provides detailed explanations of all proo.
Physical Description:1 online resource: illustrations
ISBN:9781400841554

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