The Elements of Deductive Logic
Author | : Thomas Fowler |
Publisher | : Oxford : Clarendon Press |
Total Pages | : 216 |
Release | : 1887 |
Genre | : Logic |
ISBN | : |
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Author | : Thomas Fowler |
Publisher | : Oxford : Clarendon Press |
Total Pages | : 216 |
Release | : 1887 |
Genre | : Logic |
ISBN | : |
Author | : Ian Mueller |
Publisher | : Courier Dover Publications |
Total Pages | : 404 |
Release | : 2006 |
Genre | : Mathematics |
ISBN | : |
A survey of Euclid's Elements, this text provides an understanding of the classical Greek conception of mathematics and its similarities to modern views as well as its differences. It focuses on philosophical, foundational, and logical questions -- rather than focusing strictly on historical and mathematical issues -- and features several helpful appendixes.
Author | : G. E. Hughes |
Publisher | : Routledge |
Total Pages | : 354 |
Release | : 2019-11-04 |
Genre | : Philosophy |
ISBN | : 1000737047 |
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.
Author | : Douglas Cannon |
Publisher | : Broadview Press |
Total Pages | : 306 |
Release | : 2002-11-13 |
Genre | : Philosophy |
ISBN | : 1460400836 |
This text offers an innovative approach to the teaching of logic, which is rigorous but entirely non-symbolic. By introducing students to deductive inferences in natural language, the book breaks new ground pedagogically. Cannon focuses on such topics as using a tableaux technique to assess inconsistency; using generative grammar; employing logical analyses of sentences; and dealing with quantifier expressions and syllogisms. An appendix covers truth-functional logic.
Author | : Alfred Tarski |
Publisher | : Courier Corporation |
Total Pages | : 271 |
Release | : 2013-07-04 |
Genre | : Mathematics |
ISBN | : 0486318893 |
This classic undergraduate treatment examines the deductive method in its first part and explores applications of logic and methodology in constructing mathematical theories in its second part. Exercises appear throughout.
Author | : Jan von Plato |
Publisher | : Cambridge University Press |
Total Pages | : 275 |
Release | : 2014-01-23 |
Genre | : Mathematics |
ISBN | : 1139867768 |
Some of our earliest experiences of the conclusive force of an argument come from school mathematics: faced with a mathematical proof, we cannot deny the conclusion once the premises have been accepted. Behind such arguments lies a more general pattern of 'demonstrative arguments' that is studied in the science of logic. Logical reasoning is applied at all levels, from everyday life to advanced sciences, and a remarkable level of complexity is achieved in everyday logical reasoning, even if the principles behind it remain intuitive. Jan von Plato provides an accessible but rigorous introduction to an important aspect of contemporary logic: its deductive machinery. He shows that when the forms of logical reasoning are analysed, it turns out that a limited set of first principles can represent any logical argument. His book will be valuable for students of logic, mathematics and computer science.
Author | : Carveth Read |
Publisher | : Franklin Classics Trade Press |
Total Pages | : 408 |
Release | : 2018-11-08 |
Genre | : |
ISBN | : 9780344885792 |
This work has been selected by scholars as being culturally important and is part of the knowledge base of civilization as we know it. This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. To ensure a quality reading experience, this work has been proofread and republished using a format that seamlessly blends the original graphical elements with text in an easy-to-read typeface. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.
Author | : Noah Knowles Davis |
Publisher | : |
Total Pages | : 238 |
Release | : 1893 |
Genre | : Philosophy |
ISBN | : |