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.
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.
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.
The text is designed to be used either in an upper division undergraduate classroom, or for self study.
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.
(24073-8, 24074-6) Two-volume Set $29.90 PROBABILITY: ELEMENTS OF THE MATHEMATICAL THEORY, C. R. Heathcote. (41 1494) $8.95 INTRODUCTION TO NUMERICAL ANALYSIS, Francis B. Hildebrand. (65363-3) $16.95 METHODS OF APPLIED MATHEMATICS, ...
This comprehensive overview ofmathematical logic is designedprimarily for advanced undergraduatesand graduate studentsof mathematics.
This follows from the LaJ 100 Robinson Interpolation Theorem as the Craig Interpolation Theorem 3.3.13 did from the (first-order) Robinson Interpolation Theorem. The following example shows that the restriction to countable sets in the ...
Including extensive exercises and selected solutions, this text is ideal for students in Logic, Mathematics, Philosophy, and Computer Science.
Combining stories of great writers and philosophers with quotations and riddles, this completely original text for first courses in mathematical logic examines problems related to proofs, propositional logic and first-order logic, ...
Introduction to Mathematical Logic, V1: Princeton Mathematical Series