If A Then B
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If A Then B
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Author : Michael Shenefelt
language : en
Publisher: Columbia University Press
Release Date : 2013-06-11
If A Then B written by Michael Shenefelt and has been published by Columbia University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-06-11 with Philosophy categories.
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.
Models And Computability
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Author : S. Barry Cooper
language : en
Publisher: Cambridge University Press
Release Date : 1999-06-17
Models And Computability written by S. Barry Cooper 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 1999-06-17 with Computers categories.
Second of two volumes providing a comprehensive guide to the current state of mathematical logic.
A Concise Introduction To Logic
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Author : Craig DeLancey
language : en
Publisher: Open SUNY Textbooks
Release Date : 2017-02-06
A Concise Introduction To Logic written by Craig DeLancey and has been published by Open SUNY Textbooks this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-02-06 with categories.
A Spiral Workbook For Discrete Mathematics
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Author : Harris Kwong
language : en
Publisher: Open SUNY Textbooks
Release Date : 2015-11-06
A Spiral Workbook For Discrete Mathematics written by Harris Kwong and has been published by Open SUNY Textbooks this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-11-06 with Mathematics categories.
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.
The Mathematics Of Infinity
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Author : Theodore G. Faticoni
language : en
Publisher: John Wiley & Sons
Release Date : 2012-04-17
The Mathematics Of Infinity written by Theodore G. Faticoni and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-04-17 with Mathematics categories.
Praise for the First Edition ". . . an enchanting book for those people in computer science or mathematics who are fascinated by the concept of infinity."—Computing Reviews ". . . a very well written introduction to set theory . . . easy to read and well suited for self-study . . . highly recommended."—Choice The concept of infinity has fascinated and confused mankind for centuries with theories and ideas that cause even seasoned mathematicians to wonder. The Mathematics of Infinity: A Guide to Great Ideas, Second Edition uniquely explores how we can manipulate these ideas when our common sense rebels at the conclusions we are drawing. Continuing to draw from his extensive work on the subject, the author provides a user-friendly presentation that avoids unnecessary, in-depth mathematical rigor. This Second Edition provides important coverage of logic and sets, elements and predicates, cardinals as ordinals, and mathematical physics. Classic arguments and illustrative examples are provided throughout the book and are accompanied by a gradual progression of sophisticated notions designed to stun readers' intuitive view of the world. With an accessible and balanced treatment of both concepts and theory, the book focuses on the following topics: Logic, sets, and functions Prime numbers Counting infinite sets Well ordered sets Infinite cardinals Logic and meta-mathematics Inductions and numbers Presenting an intriguing account of the notions of infinity, The Mathematics of Infinity: A Guide to Great Ideas, Second Edition is an insightful supplement for mathematics courses on set theory at the undergraduate level. The book also serves as a fascinating reference for mathematically inclined individuals who are interested in learning about the world of counterintuitive mathematics.
Principia Mathematica
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Author : Alfred North Whitehead
language : en
Publisher: Cambridge University Press
Release Date : 1927
Principia Mathematica written by Alfred North Whitehead 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 1927 with Mathematics categories.
The Principia Mathematica has long been recognised as one of the intellectual landmarks of the century.
Knowledge And Demonstration
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Author : Orna Harari
language : en
Publisher: Springer Science & Business Media
Release Date : 2004-11-02
Knowledge And Demonstration written by Orna Harari 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 2004-11-02 with Philosophy categories.
This book examines a fundamental problem in Aristotle’s Posterior Analytics: what is the role of syllogistic logic in the theory of demonstrative knowledge? The answer to this question is sought in Aristotle’s metaphysical theory and his conception of substance. This interpretation challenges the traditional interpretation that approaches Aristotle’s theory of demonstration from the standpoint of scientific practice. It is argued, in this book, that the Posterior Analytics’ main objective is to articulate the notion of knowledge, viewed here as a conceptualisation, rather than analysing the structure and methods of scientific explorations. The original interpretation offered in this book sheds fresh light on issues, such as the conceptual difference between Aristotle’s logic and modern logic, the relationship between Aristotle’s logic and Greek mathematics, and the differences between the Aristotelian and modern notions of knowledge and proof. In attempting to present a comprehensive interpretation of one of the most difficult works in the Aristotelian corpus, this book is of major importance first and foremost for Aristotelian scholars and historians of Greek philosophy; the historical character of the analysis offered here makes it relevant also to historians of Greek mathematics, historians of logic, historians of science in general, and philosophers of sciences.
Proofs From The Book
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Author : Martin Aigner
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-04-17
Proofs From The Book written by Martin Aigner 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 2013-04-17 with Mathematics categories.
The (mathematical) heroes of this book are "perfect proofs": brilliant ideas, clever connections and wonderful observations that bring new insight and surprising perspectives on basic and challenging problems from Number Theory, Geometry, Analysis, Combinatorics, and Graph Theory. Thirty beautiful examples are presented here. They are candidates for The Book in which God records the perfect proofs - according to the late Paul Erdös, who himself suggested many of the topics in this collection. The result is a book which will be fun for everybody with an interest in mathematics, requiring only a very modest (undergraduate) mathematical background. For this revised and expanded second edition several chapters have been revised and expanded, and three new chapters have been added.
How To Do Things With Logic
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Author : C. Grant Luckhardt
language : en
Publisher: Psychology Press
Release Date : 2014-02-25
How To Do Things With Logic written by C. Grant Luckhardt and has been published by Psychology Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-02-25 with Psychology categories.
In the past 15 years a host of critical thinking books have appeared that teach students to find flaws in the arguments of others by learning to detect a number of informal fallacies. This book is not in that tradition. The authors of this book believe that while students learn to become vicious critics, they still continue to make the very mistakes they criticize in others. Thus, this book has adopted the approach of teaching the construction of good arguments first and then introducing criticism as a secondary skill. Moreover, the emphasis of the book is not on learning to name fallacies, but on being able to identify weaknesses in an argument so as to be able to construct an effective critique of that argument. The book is accompanied by a workbook featuring a wealth of examples to help students acquire the material.
Foundations Of Logico Linguistics
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Author : W.S. Cooper
language : en
Publisher: Springer Science & Business Media
Release Date : 1978-04-30
Foundations Of Logico Linguistics written by W.S. Cooper 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 1978-04-30 with Language Arts & Disciplines categories.
In 1962 a mimeographed sheet of paper fell into my possession. It had been prepared by Ernest Adams of the Philosophy Department at Berkeley as a handout for a colloquim. Headed 'SOME FALLACIES OF FORMAL LOGIC' it simply listed eleven little pieces of reasoning, all in ordinary English, and all absurd. I still have the sheet, and quote a couple of the arguments here to give the idea. • If you throw switch S and switch T, the motor will start. There fore, either if you throw switch S the motor will start, or, if you throw switch T the motor will start . • It is not the case that if John passes history he will graduate. Therefore, John will pass history. The disconcerting thing about these inferences is, of course, that under the customary truth-functional interpretation of and, or, not, and if-then, they are supposed to be valid. What, if anything, is wrong? At first I was not disturbed by the examples. Having at that time consider able personal commitment to rationality in general and formal logic in par ticular, I felt it my duty and found myself easily able (or so I thought) to explain away most of them. But on reflection I had to admit that my expla nations had an ad hoc character, varying suspiciously from example to example.