Author: Thomas Fowler
Publisher:
ISBN:
Category : Logic
Languages : en
Pages : 228
Book Description
The Elements of Deductive Logic
The Elements of Deductive Logic
Author: Thomas Fowler
Publisher: Oxford : Clarendon Press
ISBN:
Category : Logic
Languages : en
Pages : 216
Book Description
Publisher: Oxford : Clarendon Press
ISBN:
Category : Logic
Languages : en
Pages : 216
Book Description
Philosophy of Mathematics and Deductive Structure in Euclid's Elements
Author: Ian Mueller
Publisher: Courier Dover Publications
ISBN:
Category : Mathematics
Languages : en
Pages : 404
Book Description
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.
Publisher: Courier Dover Publications
ISBN:
Category : Mathematics
Languages : en
Pages : 404
Book Description
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.
Elements of Deductive Logic
Author: Noah Knowles Davis
Publisher:
ISBN:
Category : Philosophy
Languages : en
Pages : 230
Book Description
Publisher:
ISBN:
Category : Philosophy
Languages : en
Pages : 230
Book Description
Elements of Logical Reasoning
Author: Jan von Plato
Publisher: Cambridge University Press
ISBN: 1139867768
Category : Mathematics
Languages : en
Pages : 275
Book Description
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.
Publisher: Cambridge University Press
ISBN: 1139867768
Category : Mathematics
Languages : en
Pages : 275
Book Description
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.
The Elements of Formal Logic
Author: G. E. Hughes
Publisher: Routledge
ISBN: 1000737047
Category : Philosophy
Languages : en
Pages : 354
Book Description
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.
Publisher: Routledge
ISBN: 1000737047
Category : Philosophy
Languages : en
Pages : 354
Book Description
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.
Deductive Logic in Natural Language
Author: Douglas Cannon
Publisher: Broadview Press
ISBN: 1460400836
Category : Philosophy
Languages : en
Pages : 306
Book Description
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.
Publisher: Broadview Press
ISBN: 1460400836
Category : Philosophy
Languages : en
Pages : 306
Book Description
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.
Introduction to Logic
Author: Alfred Tarski
Publisher: Courier Corporation
ISBN: 0486318893
Category : Mathematics
Languages : en
Pages : 271
Book Description
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.
Publisher: Courier Corporation
ISBN: 0486318893
Category : Mathematics
Languages : en
Pages : 271
Book Description
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.
The Elements of Mathematical Logic
Author: Paul C. Rosenbloom
Publisher:
ISBN:
Category : Logic, Symbolic and mathematical
Languages : en
Pages : 234
Book Description
"This book is intended for readers who, while mature mathematically, have no knowledge of mathematical logic. We attempt to introduce the reader to the most important approaches to the subject, and, wherever possible within the limitations of space which we have set for ourselves, to give at least a few nontrivial results illustrating each of the important methods for attacking logical problems"--Preface.
Publisher:
ISBN:
Category : Logic, Symbolic and mathematical
Languages : en
Pages : 234
Book Description
"This book is intended for readers who, while mature mathematically, have no knowledge of mathematical logic. We attempt to introduce the reader to the most important approaches to the subject, and, wherever possible within the limitations of space which we have set for ourselves, to give at least a few nontrivial results illustrating each of the important methods for attacking logical problems"--Preface.
Elements of Deductive Logic
Author: Noah Knowles Davis
Publisher:
ISBN:
Category : Logic
Languages : en
Pages : 0
Book Description
Publisher:
ISBN:
Category : Logic
Languages : en
Pages : 0
Book Description