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Elements Of Logic

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Elements Of Logic Via Numbers And Sets

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Author : D.L. Johnson
language : en
Publisher: Springer Science & Business Media
Release Date : 1998-09-25

Elements Of Logic Via Numbers And Sets written by D.L. Johnson and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998-09-25 with Mathematics categories.

In mathematics we are interested in why a particular formula is true. Intuition and statistical evidence are insufficient, so we need to construct a formal logical proof. The purpose of this book is to describe why such proofs are important, what they are made of, how to recognize valid ones, how to distinguish different kinds, and how to construct them. This book is written for 1st year students with no previous experience of formulating proofs. Dave Johnson has drawn from his considerable experience to provide a text that concentrates on the most important elements of the subject using clear, simple explanations that require no background knowledge of logic. It gives many useful examples and problems, many with fully-worked solutions at the end of the book. In addition to a comprehensive index, there is also a useful `Dramatis Personae` an index to the many symbols introduced in the text, most of which will be new to students and which will be used throughout their degree programme.

The Elements Of Formal Logic

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Author : G. E. Hughes
language : en
Publisher: Routledge
Release Date : 2019-11-04

The Elements Of Formal Logic written by G. E. Hughes and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-11-04 with Philosophy categories.

Originally published in 1965. This is a textbook of modern deductive logic, designed for beginners but leading further into the heart of the subject than most other books of the kind. The fields covered are the Propositional Calculus, the more elementary parts of the Predicate Calculus, and Syllogistic Logic treated from a modern point of view. In each of the systems discussed the main emphases are on Decision Procedures and Axiomatisation, and the material is presented with as much formal rigour as is compatible with clarity of exposition. The techniques used are not only described but given a theoretical justification. Proofs of Consistency, Completeness and Independence are set out in detail. The fundamental characteristics of the various systems studies, and their relations to each other are established by meta-logical proofs, which are used freely in all sections of the book. Exercises are appended to most of the chapters, and answers are provided.

The Elements Of Logic

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Author : William Duncan
language : en
Publisher:
Release Date : 1807

The Elements Of Logic written by William Duncan and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1807 with Logic categories.

Elements Of Logic

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Author : Richard Whately
language : en
Publisher:
Release Date : 1852

Elements Of Logic written by Richard Whately and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1852 with Logic categories.

The Elements Of Logic

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Author : Robert Latta
language : en
Publisher:
Release Date : 1941

The Elements Of Logic written by Robert Latta and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1941 with Logic categories.

The Elements Of Arguments An Introduction To Critical Thinking And Logic

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Author : Philip Turetzky
language : en
Publisher: Broadview Press
Release Date : 2019-04-11

The Elements Of Arguments An Introduction To Critical Thinking And Logic written by Philip Turetzky and has been published by Broadview Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-04-11 with Philosophy categories.

The Elements of Arguments introduces such central critical thinking topics as informal fallacies, the difference between validity and truth, basic formal propositional logic, and how to extract arguments from texts. Turetzky aims to prevent common confusions by clearly explaining a number of important distinctions, including propositions vs. propositional attitudes, propositions vs. states of affairs, and logic vs. rhetoric vs. psychology. Exercises are provided throughout, including numerous informal arguments that can be assessed using the skills and strategies presented within the text.

The Mathematics Of Logic

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Author : Richard W. Kaye
language : en
Publisher: Cambridge University Press
Release Date : 2007-07-12

The Mathematics Of Logic written by Richard W. Kaye and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-07-12 with Mathematics categories.

This undergraduate textbook covers the key material for a typical first course in logic, in particular presenting a full mathematical account of the most important result in logic, the Completeness Theorem for first-order logic. Looking at a series of interesting systems, increasing in complexity, then proving and discussing the Completeness Theorem for each, the author ensures that the number of new concepts to be absorbed at each stage is manageable, whilst providing lively mathematical applications throughout. Unfamiliar terminology is kept to a minimum, no background in formal set-theory is required, and the book contains proofs of all the required set theoretical results. The reader is taken on a journey starting with König's Lemma, and progressing via order relations, Zorn's Lemma, Boolean algebras, and propositional logic, to completeness and compactness of first-order logic. As applications of the work on first-order logic, two final chapters provide introductions to model theory and nonstandard analysis.

Reprint of the original, first published in 1883.

Elements Of Logic

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