Logic of Mathematics: A Modern Course of Classical LogicISBN: 978-0-471-06026-0
Hardcover
272 pages
April 1997
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Partial table of contents:
MATHEMATICAL STRUCTURES AND THEIR THEORIES.
Relational Systems.
Boolean Algebras.
Terms and Formulas.
Substitution of Terms.
Theorems and Proofs.
Generalization Rule and Elimination of Constants.
Peano Arithmetic.
Ultraproducts.
Supplementary Questions.
SELECTED TOPICS.
Total Functions.
Incompleteness of Arithmetic.
Tarski's Theorem.
Matiyasevich's Theorem.
Guide to Further Reading.
References.
Index.
MATHEMATICAL STRUCTURES AND THEIR THEORIES.
Relational Systems.
Boolean Algebras.
Terms and Formulas.
Substitution of Terms.
Theorems and Proofs.
Generalization Rule and Elimination of Constants.
Peano Arithmetic.
Ultraproducts.
Supplementary Questions.
SELECTED TOPICS.
Total Functions.
Incompleteness of Arithmetic.
Tarski's Theorem.
Matiyasevich's Theorem.
Guide to Further Reading.
References.
Index.
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Logic & Foundations
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