Stephen Kleene Mathematical Logic Pdf

Author: Joseph R. Shoenfield
Publisher: A K Peters/CRC Press
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8.3 The consistency proof -- 8.4 Applications of the consistency proof -- 8.5 Second-order arithmetic -- Problems -- Chapter 9: Set Theory -- 9.1 Axioms for sets -- 9.2 Development of set theory -- 9.3 Ordinals -- 9.4 Cardinals -- 9.5 Interpretations of set theory -- 9.6 Constructible sets -- 9.7 The axiom of constructibility -- 9.8 Forcing -- 9.9 The independence proofs -- 9.10 Large cardinals -- Problems -- Appendix The Word Problem -- Index

Mathematical Logic

Authors: Stephen Cole Kleene

Categories: Mathematics

Type: BOOK - Published: 2013-04-22 - Publisher: Courier Corporation

Contents include an elementary but thorough overview of mathematical logic of 1st order; formal number theory; surveys of the work by Church, Turing, and others, including Gödel's completeness theorem, Gentzen's theorem, more.

Mathematical Logic

Authors: Joseph R. Shoenfield

Categories: Mathematics

Type: BOOK - Published: 2001-02-09 - Publisher: A K Peters/CRC Press

Mathematical Logic

Authors: H.-D. Ebbinghaus, J. Flum, Wolfgang Thomas

Categories: Mathematics

Type: BOOK - Published: 1996-11-15 - Publisher: Springer Science & Business Media

This introduction to first-order logic clearly works out the role of first-order logic in the foundations of mathematics, particularly the two basic questions of the range of the axiomatic method and of theorem-proving by machines. It covers several advanced topics not commonly treated in introductory texts, such as Fraïssé's characterization

A Profile of Mathematical Logic

Authors: Howard DeLong

Categories: Mathematics

Type: BOOK - Published: 2012-09-26 - Publisher: Courier Corporation

This introduction to mathematical logic explores philosophical issues and Gödel's Theorem. Its widespread influence extends to the author of Gödel, Escher, Bach, whose Pulitzer Prize–winning book was inspired by this work.

Foundations of Mathematical Logic

Authors: Haskell Brooks Curry

Categories: Mathematics

Type: BOOK - Published: 1977-01-01 - Publisher: Courier Corporation

Written by a pioneer of mathematical logic, this comprehensive graduate-level text explores the constructive theory of first-order predicate calculus. It covers formal methods — including algorithms and epitheory — and offers a brief treatment of Markov's approach to algorithms. It also explains elementary facts about lattices and similar algebraic systems.

First Course in Mathematical Logic

Authors: Patrick Suppes, Shirley Hill

Categories: Mathematics

Type: BOOK - Published: 2012-04-30 - Publisher: Courier Corporation

Rigorous introduction is simple enough in presentation and context for wide range of students. Symbolizing sentences; logical inference; truth and validity; truth tables; terms, predicates, universal quantifiers; universal specification and laws of identity; more.

Mathematical Logic

Authors: Ian Chiswell, Wilfrid Hodges, School of Mathematical Sciences Wilfrid Hodges

Categories: Mathematics

Type: BOOK - Published: 2007-05-17 - Publisher: Oxford University Press on Demand

Assuming no previous study in logic, this informal yet rigorous text covers the material of a standard undergraduate first course in mathematical logic, using natural deduction and leading up to the completeness theorem for first-order logic. At each stage of the text, the reader is given an intuition based on

Mathematical Logic

Authors: Heinz-Dieter Ebbinghaus, Jörg Flum, Wolfgang Thomas

Categories: Mathematics

Type: BOOK - Published: 2021-05-29 - Publisher: Springer

A Beginner's Guide to Mathematical Logic

Authors: Raymond M. Smullyan

Categories: Mathematics

Type: BOOK - Published: 2014-07-23 - Publisher: Courier Corporation

Written by a creative master of mathematical logic, this introductory text combines stories of great philosophers, quotations, and riddles with the fundamentals of mathematical logic. Author Raymond Smullyan offers clear, incremental presentations of difficult logic concepts. He highlights each subject with inventive explanations and unique problems. Smullyan's accessible narrative provides

A Friendly Introduction to Mathematical Logic

Authors: Christopher C. Leary, Lars Kristiansen

Categories: Education

Type: BOOK - Published: 2015 - Publisher: Lulu.com

At the intersection of mathematics, computer science, and philosophy, mathematical logic examines the power and limitations of formal mathematical thinking. In this expansion of Leary's user-friendly 1st edition, readers with no previous study in the field are introduced to the basics of model theory, proof theory, and computability theory. The