Philosophy of Mathematics and Deductive Structure in Euclid's Elements

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Publisher : Courier Dover Publications
ISBN 13 :
Total Pages : 404 pages
Book Rating : 4.3/5 (555 download)

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Book Synopsis Philosophy of Mathematics and Deductive Structure in Euclid's Elements by : Ian Mueller

Download or read book Philosophy of Mathematics and Deductive Structure in Euclid's Elements written by Ian Mueller and published by Courier Dover Publications. This book was released on 2006 with total page 404 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Introduction to Logic

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Publisher : Courier Corporation
ISBN 13 : 0486318893
Total Pages : 271 pages
Book Rating : 4.4/5 (863 download)

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Book Synopsis Introduction to Logic by : Alfred Tarski

Download or read book Introduction to Logic written by Alfred Tarski and published by Courier Corporation. This book was released on 2013-07-04 with total page 271 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 deductive logic

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Publisher :
ISBN 13 :
Total Pages : 250 pages
Book Rating : 4.R/5 (6 download)

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Book Synopsis The elements of deductive logic by : Thomas Fowler

Download or read book The elements of deductive logic written by Thomas Fowler and published by . This book was released on 1873 with total page 250 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Choice and Chance

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Publisher :
ISBN 13 :
Total Pages : 184 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Choice and Chance by : Brian Skyrms

Download or read book Choice and Chance written by Brian Skyrms and published by . This book was released on 1975 with total page 184 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Elements of Logical Reasoning

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Publisher : Cambridge University Press
ISBN 13 : 1139867768
Total Pages : 275 pages
Book Rating : 4.1/5 (398 download)

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Book Synopsis Elements of Logical Reasoning by : Jan von Plato

Download or read book Elements of Logical Reasoning written by Jan von Plato and published by Cambridge University Press. This book was released on 2014-01-23 with total page 275 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Elements of Argumentation

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Publisher :
ISBN 13 :
Total Pages : 320 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Elements of Argumentation by : Philippe Besnard

Download or read book Elements of Argumentation written by Philippe Besnard and published by . This book was released on 2008 with total page 320 pages. Available in PDF, EPUB and Kindle. Book excerpt: Background and techniques for formalizing deductive argumentation in a logic-based framework for artificial intelligence.

Critical Thinking

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Publisher : Psychology Press
ISBN 13 : 9780415240178
Total Pages : 294 pages
Book Rating : 4.2/5 (41 download)

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Book Synopsis Critical Thinking by : Tracy Bowell

Download or read book Critical Thinking written by Tracy Bowell and published by Psychology Press. This book was released on 2002 with total page 294 pages. Available in PDF, EPUB and Kindle. Book excerpt: A much-needed guide to thinking critically for oneself and how to tell a good argument from a bad one. Includes topical examples from politics, sport, medicine, music, chapter summaries, glossary and exercises.

Introduction to Logic and to the Methodology of Deductive Sciences. (Translated by Olaf Helmer

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Publisher :
ISBN 13 :
Total Pages : 0 pages
Book Rating : 4.:/5 (18 download)

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Book Synopsis Introduction to Logic and to the Methodology of Deductive Sciences. (Translated by Olaf Helmer by : Alfred Taraski

Download or read book Introduction to Logic and to the Methodology of Deductive Sciences. (Translated by Olaf Helmer written by Alfred Taraski and published by . This book was released on 1965 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:

The Dialogical Roots of Deduction

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Publisher : Cambridge University Press
ISBN 13 : 110847988X
Total Pages : 287 pages
Book Rating : 4.1/5 (84 download)

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Book Synopsis The Dialogical Roots of Deduction by : Catarina Dutilh Novaes

Download or read book The Dialogical Roots of Deduction written by Catarina Dutilh Novaes and published by Cambridge University Press. This book was released on 2020-12-17 with total page 287 pages. Available in PDF, EPUB and Kindle. Book excerpt: The first comprehensive account of the concept and practices of deduction covering philosophy, history, cognition and mathematical practice.

Deductive Software Verification – The KeY Book

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Publisher : Springer
ISBN 13 : 3319498126
Total Pages : 714 pages
Book Rating : 4.3/5 (194 download)

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Book Synopsis Deductive Software Verification – The KeY Book by : Wolfgang Ahrendt

Download or read book Deductive Software Verification – The KeY Book written by Wolfgang Ahrendt and published by Springer. This book was released on 2016-12-19 with total page 714 pages. Available in PDF, EPUB and Kindle. Book excerpt: Static analysis of software with deductive methods is a highly dynamic field of research on the verge of becoming a mainstream technology in software engineering. It consists of a large portfolio of - mostly fully automated - analyses: formal verification, test generation, security analysis, visualization, and debugging. All of them are realized in the state-of-art deductive verification framework KeY. This book is the definitive guide to KeY that lets you explore the full potential of deductive software verification in practice. It contains the complete theory behind KeY for active researchers who want to understand it in depth or use it in their own work. But the book also features fully self-contained chapters on the Java Modeling Language and on Using KeY that require nothing else than familiarity with Java. All other chapters are accessible for graduate students (M.Sc. level and beyond). The KeY framework is free and open software, downloadable from the book companion website which contains also all code examples mentioned in this book.

Analysis and Synthesis of Logics

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Publisher : Springer Science & Business Media
ISBN 13 : 1402067828
Total Pages : 612 pages
Book Rating : 4.4/5 (2 download)

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Book Synopsis Analysis and Synthesis of Logics by : Walter Carnielli

Download or read book Analysis and Synthesis of Logics written by Walter Carnielli and published by Springer Science & Business Media. This book was released on 2008-01-22 with total page 612 pages. Available in PDF, EPUB and Kindle. Book excerpt: Starting with simple examples showing the relevance of cutting and pasting logics, the monograph develops a mathematical theory of combining and decomposing logics, ranging from propositional and first-order based logics to higher-order based logics as well as to non-truth functional logics. The theory covers mechanisms for combining semantic structures and deductive systems either of the same or different nature. The issue of preservation of properties is addressed.

Putting Logic in Its Place

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Publisher : Oxford University Press
ISBN 13 : 0199263256
Total Pages : 200 pages
Book Rating : 4.1/5 (992 download)

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Book Synopsis Putting Logic in Its Place by : David Christensen

Download or read book Putting Logic in Its Place written by David Christensen and published by Oxford University Press. This book was released on 2004-11-04 with total page 200 pages. Available in PDF, EPUB and Kindle. Book excerpt: What role, if any, does formal logic play in characterizing epistemically rational belief? Traditionally, belief is seen in a binary way - either one believes a proposition, or one doesn't. Given this picture, it is attractive to impose certain deductive constraints on rational belief: that one's beliefs be logically consistent, and that one believe the logical consequences of one's beliefs. A less popular picture sees belief as a graded phenomenon. This picture (explored more bydecision-theorists and philosophers of science thatn by mainstream epistemologists) invites the use of probabilistic coherence to constrain rational belief. But this latter project has often involved defining graded beliefs in terms of preferences, which may seem to change the subject away fromepistemic rationality.Putting Logic in its Place explores the relations between these two ways of seeing beliefs. It argues that the binary conception, although it fits nicely with much of our commonsense thought and talk about belief, cannot in the end support the traditional deductive constraints on rational belief. Binary beliefs that obeyed these constraints could not answer to anything like our intuitive notion of epistemic rationality, and would end up having to be divorced from central aspects of ourcognitive, practical, and emotional lives.But this does not mean that logic plays no role in rationality. Probabilistic coherence should be viewed as using standard logic to constrain rational graded belief. This probabilistic constraint helps explain the appeal of the traditional deductive constraints, and even underlies the force of rationally persuasive deductive arguments. Graded belief cannot be defined in terms of preferences. But probabilistic coherence may be defended without positing definitional connections between beliefsand preferences. Like the traditional deductive constraints, coherence is a logical ideal that humans cannot fully attain. Nevertheless, it furnishes a compelling way of understanding a key dimension of epistemic rationality.

The Mathematical Analysis of Logic

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Publisher :
ISBN 13 :
Total Pages : 94 pages
Book Rating : 4.R/5 (4 download)

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Book Synopsis The Mathematical Analysis of Logic by : George Boole

Download or read book The Mathematical Analysis of Logic written by George Boole and published by . This book was released on 1847 with total page 94 pages. Available in PDF, EPUB and Kindle. Book excerpt:

An Introduction to Formal Logic

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Publisher : Cambridge University Press
ISBN 13 : 9780521008044
Total Pages : 370 pages
Book Rating : 4.0/5 (8 download)

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Book Synopsis An Introduction to Formal Logic by : Peter Smith

Download or read book An Introduction to Formal Logic written by Peter Smith and published by Cambridge University Press. This book was released on 2003-11-06 with total page 370 pages. Available in PDF, EPUB and Kindle. Book excerpt: Formal logic provides us with a powerful set of techniques for criticizing some arguments and showing others to be valid. These techniques are relevant to all of us with an interest in being skilful and accurate reasoners. In this highly accessible book, Peter Smith presents a guide to the fundamental aims and basic elements of formal logic. He introduces the reader to the languages of propositional and predicate logic, and then develops formal systems for evaluating arguments translated into these languages, concentrating on the easily comprehensible 'tree' method. His discussion is richly illustrated with worked examples and exercises. A distinctive feature is that, alongside the formal work, there is illuminating philosophical commentary. This book will make an ideal text for a first logic course, and will provide a firm basis for further work in formal and philosophical logic.

Argument and Inference

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Publisher : MIT Press
ISBN 13 : 0262337770
Total Pages : 283 pages
Book Rating : 4.2/5 (623 download)

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Book Synopsis Argument and Inference by : Gregory Johnson

Download or read book Argument and Inference written by Gregory Johnson and published by MIT Press. This book was released on 2017-01-06 with total page 283 pages. Available in PDF, EPUB and Kindle. Book excerpt: A thorough and practical introduction to inductive logic with a focus on arguments and the rules used for making inductive inferences. This textbook offers a thorough and practical introduction to inductive logic. The book covers a range of different types of inferences with an emphasis throughout on representing them as arguments. This allows the reader to see that, although the rules and guidelines for making each type of inference differ, the purpose is always to generate a probable conclusion. After explaining the basic features of an argument and the different standards for evaluating arguments, the book covers inferences that do not require precise probabilities or the probability calculus: the induction by confirmation, inference to the best explanation, and Mill's methods. The second half of the book presents arguments that do require the probability calculus, first explaining the rules of probability, and then the proportional syllogism, inductive generalization, and Bayes' rule. Each chapter ends with practice problems and their solutions. Appendixes offer additional material on deductive logic, odds, expected value, and (very briefly) the foundations of probability. Argument and Inference can be used in critical thinking courses. It provides these courses with a coherent theme while covering the type of reasoning that is most often used in day-to-day life and in the natural, social, and medical sciences. Argument and Inference is also suitable for inductive logic and informal logic courses, as well as philosophy of sciences courses that need an introductory text on scientific and inductive methods.

The academy

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Publisher :
ISBN 13 :
Total Pages : 926 pages
Book Rating : 4.B/5 (1 download)

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Book Synopsis The academy by :

Download or read book The academy written by and published by . This book was released on 1876 with total page 926 pages. Available in PDF, EPUB and Kindle. Book excerpt:

The Psychology of Proof

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Publisher : MIT Press
ISBN 13 : 9780262181532
Total Pages : 476 pages
Book Rating : 4.1/5 (815 download)

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Book Synopsis The Psychology of Proof by : Lance J. Rips

Download or read book The Psychology of Proof written by Lance J. Rips and published by MIT Press. This book was released on 1994 with total page 476 pages. Available in PDF, EPUB and Kindle. Book excerpt: Lance Rips describes a unified theory of natural deductive reasoning and fashions a working model of deduction, with strong experimental support, that is capable of playing a central role in mental life.