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If A, Then B

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Release : 2013-06-11
Genre : Philosophy
Kind : eBook
Book Rating : 050/5 ( reviews)

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Book Synopsis If A, Then B by : Michael Shenefelt

Download or read book If A, Then B written by Michael Shenefelt. This book was released on 2013-06-11. Available in PDF, EPUB and Kindle. Book excerpt: While logical principles seem timeless, placeless, and eternal, their discovery is a story of personal accidents, political tragedies, and broad social change. If A, Then B begins with logic's emergence twenty-three centuries ago and tracks its expansion as a discipline ever since. It explores where our sense of logic comes from and what it really is a sense of. It also explains what drove human beings to start studying logic in the first place. Logic is more than the work of logicians alone. Its discoveries have survived only because logicians have also been able to find a willing audience, and audiences are a consequence of social forces affecting large numbers of people, quite apart from individual will. This study therefore treats politics, economics, technology, and geography as fundamental factors in generating an audience for logic--grounding the discipline's abstract principles in a compelling material narrative. The authors explain the turbulent times of the enigmatic Aristotle, the ancient Stoic Chrysippus, the medieval theologian Peter Abelard, and the modern thinkers René Descartes, David Hume, Jeremy Bentham, George Boole, Augustus De Morgan, John Stuart Mill, Gottlob Frege, Bertrand Russell, and Alan Turing. Examining a variety of mysteries, such as why so many branches of logic (syllogistic, Stoic, inductive, and symbolic) have arisen only in particular places and periods, If A, Then B is the first book to situate the history of logic within the movements of a larger social world. If A, Then B is the 2013 Gold Medal winner of Foreword Reviews' IndieFab Book of the Year Award for Philosophy.

A Concise Introduction to Logic

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Release : 2017-02-06
Genre :
Kind : eBook
Book Rating : 437/5 ( reviews)

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Book Synopsis A Concise Introduction to Logic by : Craig DeLancey

Download or read book A Concise Introduction to Logic written by Craig DeLancey. This book was released on 2017-02-06. Available in PDF, EPUB and Kindle. Book excerpt:

A Spiral Workbook for Discrete Mathematics

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Release : 2015-11-06
Genre : Mathematics
Kind : eBook
Book Rating : 161/5 ( reviews)

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Book Synopsis A Spiral Workbook for Discrete Mathematics by : Harris Kwong

Download or read book A Spiral Workbook for Discrete Mathematics written by Harris Kwong. This book was released on 2015-11-06. Available in PDF, EPUB and Kindle. Book excerpt: A Spiral Workbook for Discrete Mathematics covers the standard topics in a sophomore-level course in discrete mathematics: logic, sets, proof techniques, basic number theory, functions,relations, and elementary combinatorics, with an emphasis on motivation. The text explains and claries the unwritten conventions in mathematics, and guides the students through a detailed discussion on how a proof is revised from its draft to a nal polished form. Hands-on exercises help students understand a concept soon after learning it. The text adopts a spiral approach: many topics are revisited multiple times, sometimes from a dierent perspective or at a higher level of complexity, in order to slowly develop the student's problem-solving and writing skills.

Models and Computability

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Release : 1999-06-17
Genre : Computers
Kind : eBook
Book Rating : 500/5 ( reviews)

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Book Synopsis Models and Computability by : S. Barry Cooper

Download or read book Models and Computability written by S. Barry Cooper. This book was released on 1999-06-17. Available in PDF, EPUB and Kindle. Book excerpt: Second of two volumes providing a comprehensive guide to the current state of mathematical logic.

Elements of Logical Reasoning

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Release : 2014-01-23
Genre : Mathematics
Kind : eBook
Book Rating : 768/5 ( reviews)

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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. This book was released on 2014-01-23. 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.

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