Logic: The Basicsis an accessible introduction to several core areas of logic. The first part of the book features a self-contained introduction to the standard topics in classical logic, such as: � mathematical preliminaries � propositional logic � quantified logic (first monadic, then polyadic) � English and standard 'symbolic translations' � tableau procedures. Alongside comprehensive coverage of the standard topics, this thoroughly revised second edition also introduces several philosophically important nonclassical logics, free logics, and modal logics, and gives the reader an idea of how they can take their knowledge further. With its wealth of exercises (solutions available in the encyclopedic online supplement), Logic: The Basics is a useful textbook for courses ranging from the introductory level to the early graduate level, and also as a reference for students and researchers in philosophical logic.
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Provides an essential introduction to classical logic.
For any set A, the power set P(A) is numerically larger than A. Bernstein Schroeder Theorem. For any pair of infinite sets A and B, if A can be put into a 1-1 correspondence with a part of B (i.e. a subset of B) and B can be put into a ...
A clear, comprehensive, and rigorous treatment develops the subject from elementary concepts to the construction and analysis of relatively complex logical languages.
How well do you think logically? Find out with these puzzles. But don't forget the degree of difficulty increases as you go.
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The last chapter on Gödel's first incompleteness theorem is self-contained and provides a systematic exposition of the necessary recursion theory. This new edition has been properly revised and contains a new section on ultra-products.
Anyone seeking a readable and relatively brief guide to logic can do no better than this classic introduction. A treat for both the intellect and the imagination, it profiles the...
Presents techniques for teaching based on the "Love and Logic" philosophy of working with children.
This work makes available to readers without specialized training in mathematics complete proofs of the fundamental metatheorems of standard (i.e., basically truth-functional) first order logic.