Logic with Trees by Colin Howson

Logic with Trees by Colin Howson

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Summary

This introduction to modern formal logic also contains discussions on more philosophical issues, such as truth, conditionals and modal logic. Worked examples and exercises enable readers to check their progress.

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Logic with Trees by Colin Howson

Logic With Trees is a new and original introduction to modern formal logic. Unlike most texts, it also contains discussions on more philosophical issues such as truth, conditionals and modal logic. It presents the formal material with clarity, preferring informal explanations and arguments to intimidatingly rigorous development. Worked examples and excercises enable the readers to check their progress. Logic With Trees equips students with * a complete and clear account of the truth-tree system for first order logic * the importance of logic and its relevance to many different disciplines * the skills to grasp sophisticated formal reasoning techniques necessary to explore complex metalogic * the ability to contest claims that `ordinary' reasoning is well represented by formal first order logic The issues covered include a thorough discussion of truth-functional and full first order logic, using the truth-tree or semantic tableau approach. Completeness and Soundness proofs are given for both truth-functional and first order trees. Much use is made of induction, which is presented in a clear and consistent manner. There is also discussion of alternative deductive systems, an introduction to transfinite numbers and categoricity, the Lowenhein-Skolem theories and the celebrated findings of Godel and Church. The book concludes with an account of Kripke's attempted solution of the liar paradox and a discussion of the weakness of truth-functional account of conditionals. Particularly useful to those who favour critical accounts of formal reasoning, it will be of interest to students of philosophy at first level and beyond and also students of mathematics and computer science.
Howson, Colin: - Colin Howson is Professor of Philosophy at the University of Toronto and Emeritus Professor, London School of Economics and Political Science. He is the author of Hume's Problem: Induction and the Justification of Belief (2000), Logic with Trees (1997) and, with Peter Urbach, Scientific Reasoning: The Bayesian Approach (3rd edition, 2006).
SKU Unavailable
ISBN 13 9780415133425
ISBN 10 0415133424
Title Logic with Trees
Author Colin Howson
Condition Unavailable
Binding Type Paperback
Publisher Taylor & Francis Ltd
Year published 1997-02-27
Number of pages 212
Cover note Book picture is for illustrative purposes only, actual binding, cover or edition may vary.
Note Unavailable