If A Then B

Author : Michael Shenefelt,Heidi White
Publisher : Columbia University Press
Page : 352 pages
File Size : 52,8 Mb
Release : 2013-06-11
Category : Philosophy
ISBN : 9780231161053

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If A, Then B by Michael Shenefelt,Heidi White Pdf

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.

Author : Orna Harari
Publisher : Springer Science & Business Media
Page : 180 pages
File Size : 43,9 Mb
Release : 2004-11-02
Category : Philosophy
ISBN : 1402027877

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Knowledge and Demonstration by Orna Harari Pdf

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.

Author : Uwe Meixner
Publisher : Walter de Gruyter
Page : 379 pages
File Size : 51,6 Mb
Release : 2013-05-02
Category : Philosophy
ISBN : 9783110326895

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The Theory of Ontic Modalities by Uwe Meixner Pdf

This book presents a comprehensive, non-model-theoretic theory of ontic necessity and possibility within a formal (and formalized) ontology consisting of states of affairs, properties, and individuals. Its central thesis is that all modalities are reducible to intrinsic (or "logical") possibility and necessity if reference is made to certain states of affairs, called "bases of necessity." The viability of this Bases-Theory of Modality is shown also in the case of conditionals, including counterfactual conditionals. Besides the ontological aspects of the philosophy of modality, also the epistemology of modality is treated in the book. It is shown that the Bases-Theory of Modality provides a satisfactory solution to the epistemological problem of modality. In addition to developing that theory, the book includes detailed discussions of positions in the philosophy of modality maintained by Alvin Plantinga, David Lewis, Charles Chihara, Graeme Forbes, David Armstrong, and others. Among the themes treated are: possibilism vs. actualism; the theory of essences; conceivability and possibility; the nature of possible worlds; the nature of logical, nomological, and metaphysical possibility and necessity.

Author : Craig DeLancey
Publisher : Open SUNY Textbooks
Page : 128 pages
File Size : 45,9 Mb
Release : 2017-02-06
Category : Electronic
ISBN : 1942341431

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A Concise Introduction to Logic by Craig DeLancey Pdf

Author : Antonella Cupillari
Publisher : Academic Press
Page : 297 pages
File Size : 44,8 Mb
Release : 2012-01-05
Category : Mathematics
ISBN : 9780123822178

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The Nuts and Bolts of Proofs by Antonella Cupillari Pdf

Annotation The Nuts and Bolts of Proofs instructs students on the primary basic logic of mathematical proofs, showing how proofs of mathematical statements work. The text provides basic core techniques of how to read and write proofs through examples. The basic mechanics of proofs are provided for a methodical approach in gaining an understanding of the fundamentals to help students reach different results. A variety of fundamental proofs demonstrate the basic steps in the construction of a proof and numerous examples illustrate the method and detail necessary to prove various kinds of theorems.Jumps right in with the needed vocabulary-gets students thinking like mathematicians from the beginningOffers a large variety of examples and problems with solutions for students to work through on their ownIncludes a collection of exercises without solutions to help instructors prepare assignmentsContains an extensive list of basic mathematical definitions and concepts needed in abstract mathematics.

Author : GMAC (Graduate Management Admission Council)
Publisher : John Wiley & Sons
Page : 887 pages
File Size : 43,6 Mb
Release : 2024-05-29
Category : Study Aids
ISBN : 9781394260027

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GMAT Official Guide 2024-2025: Book + Online Question Bank by GMAC (Graduate Management Admission Council) Pdf

GMAT Official Guide 2024-2025: Includes Book + Online Question Bank + Digital Flashcards + Mobile App Power up your prep with the GMAT Official Guide, the only study guide that features real exam questions. You'll get exclusive tips and tricks directly from the exam creators and gain access to 900+ practice questions to set you up for success on test day. Highlights: Updated Data Insights, Quantitative Review and Verbal Review chapters to master each section of the GMAT Focus Edition Access to an Online Question Bank to create custom practice sets by questions type and difficulty level so that you can plan your individual practice Exclusive access to online diagnostic evaluations to discover your strengths and focus areas Detailed answer explanations to master the reasoning behind the answers New! Get exclusive exam preparation tips from test prep organizations Use this guide to: Master the exam structure and excel in each section Understand key concepts with review chapters Gain confidence in all question types (featuring 100+ new questions!) Review detailed explanations to understand correct and incorrect answers New! Practice with two-part analysis questions in the book PLUS! Focus your studying with the Online Question Bank – Bonus: included with purchase! Tailor your practice by building practice sets targeting question type and difficulty Discover your strengths and weaknesses with diagnostic quizzes Track your focus areas and progress with key metrics Reinforce concepts with flashcards and engaging games Challenge yourself with timed practice Use digital flashcards to master key concepts, also accessible on the mobile app The Online Question Bank is accessible through your mba.com account.

Author : C. Grant Luckhardt,William Bechtel,Grant Luckhardt
Publisher : Psychology Press
Page : 280 pages
File Size : 49,9 Mb
Release : 2014-02-25
Category : Psychology
ISBN : 9781317785934

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How To Do Things With Logic by C. Grant Luckhardt,William Bechtel,Grant Luckhardt Pdf

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.

Author : Harry J Gensler
Publisher : Routledge
Page : 581 pages
File Size : 42,9 Mb
Release : 2017-01-06
Category : Philosophy
ISBN : 9781317436102

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Introduction to Logic by Harry J Gensler Pdf

Introduction to Logic is clear and concise, uses interesting examples (many philosophical in nature), and has easy-to-use proof methods. Its key features, retained in this Third Edition, include: simpler ways to test arguments, including an innovative proof method and the star test for syllogisms; a wide scope of materials, suiting it for introductory or intermediate courses; engaging examples, from philosophy and everyday life; useful for self-study and preparation for standardized tests, like the LSAT; a reasonable price (a third the cost of some competitors); and exercises that correspond to the free LogiCola instructional program. This Third Edition: improves explanations, especially on areas that students find difficult; has a fuller explanation of traditional Copi proofs and of truth trees; and updates the companion LogiCola software, which now is touch friendly (for use on Windows tablets and touch monitors), installs more easily on Windows and Macintosh, and adds exercises on Copi proofs and on truth trees. You can still install LogiCola for free (from http://www.harryhiker.com/lc or http://www.routledge.com/cw/gensler).

Author : W.S. Cooper
Publisher : Springer Science & Business Media
Page : 274 pages
File Size : 49,6 Mb
Release : 1978-03-31
Category : Language Arts & Disciplines
ISBN : 9027708649

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Foundations of Logico-Linguistics by W.S. Cooper Pdf

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.

Author : S. Barry Cooper,John K. Truss,Association for Symbolic Logic
Publisher : Cambridge University Press
Page : 433 pages
File Size : 51,6 Mb
Release : 1999-06-17
Category : Computers
ISBN : 9780521635509

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Models and Computability by S. Barry Cooper,John K. Truss,Association for Symbolic Logic Pdf

Second of two volumes providing a comprehensive guide to the current state of mathematical logic.

Author : Dale Hoffman
Publisher : Lulu.com
Page : 338 pages
File Size : 49,5 Mb
Release : 2013
Category : Calculus
ISBN : 9781105197192

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Contemporary Calculus I by Dale Hoffman Pdf

Author : P.D. Magnus
Publisher : Good Press
Page : 162 pages
File Size : 49,5 Mb
Release : 2023-11-27
Category : Philosophy
ISBN : EAN:8596547679349

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Forallx - An Introduction to Formal Logic by P.D. Magnus Pdf

Forallx is an introduction to sentential logic and first-order predicate logic with identity, logical systems that significantly influenced twentieth-century analytic philosophy. After working through the material in this book, a student should be able to understand most quantified expressions that arise in their philosophical reading. This book treats symbolization, formal semantics, and proof theory for each language. The discussion of formal semantics is more direct than in many introductory texts. Although forall x does not contain proofs of soundness and completeness, it lays the groundwork for understanding why these are things that need to be proven. Contents: What is logic? Sentential logic Truth tables Quanti ed logic Formal semantics Proofs Other symbolic notation Solutions to selected exercises

Author : Harry Gensler
Publisher : Routledge
Page : 445 pages
File Size : 49,7 Mb
Release : 2002-09-11
Category : Philosophy
ISBN : 9781134588817

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Introduction to Logic by Harry Gensler Pdf

Introduction to Logic offers one of the most clear, interesting and accessible introductions to what has long been considered one of the most challenging subjects in philosophy. Harry Gensler engages students with the basics of logic through practical examples and important arguments both in the history of philosophy and from contemporary philosophy. Using simple and manageable methods for testing arguments, students are led step-by-step to master the complexities of logic. The companion LogiCola instructional program and various teaching aids (including a teacher's manual) are available from the book's website: www.routledge.com/textbooks/gensler_logic

Author : Richard W. Kaye
Publisher : Cambridge University Press
Page : 12 pages
File Size : 40,9 Mb
Release : 2007-07-12
Category : Mathematics
ISBN : 9781139467216

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The Mathematics of Logic by Richard W. Kaye Pdf

This undergraduate textbook covers the key material for a typical first course in logic, in particular presenting a full mathematical account of the most important result in logic, the Completeness Theorem for first-order logic. Looking at a series of interesting systems, increasing in complexity, then proving and discussing the Completeness Theorem for each, the author ensures that the number of new concepts to be absorbed at each stage is manageable, whilst providing lively mathematical applications throughout. Unfamiliar terminology is kept to a minimum, no background in formal set-theory is required, and the book contains proofs of all the required set theoretical results. The reader is taken on a journey starting with König's Lemma, and progressing via order relations, Zorn's Lemma, Boolean algebras, and propositional logic, to completeness and compactness of first-order logic. As applications of the work on first-order logic, two final chapters provide introductions to model theory and nonstandard analysis.

Author : Mark Richard
Publisher : OUP Oxford
Page : 194 pages
File Size : 48,7 Mb
Release : 2010-05-20
Category : Philosophy
ISBN : 9780191615191

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When Truth Gives Out by Mark Richard Pdf

Is the point of belief and assertion invariably to think or say something true? Is the truth of a belief or assertion absolute, or is it only relative to human interests? Most philosophers think it incoherent to profess to believe something but not think it true, or to say that some of the things we believe are only relatively true. Common sense disagrees. It sees many opinions, such as those about matters of taste, as neither true nor false; it takes it as obvious that some of the truth is relative. Mark Richard's accessible book argues that when it comes to truth, common sense is right, philosophical orthodoxy wrong. The first half of the book examines connections between the performative aspects of talk (what we do when we speak), our emotions and evaluations, and the conditions under which talk and thought qualifies as true or false. It argues that the performative and expressive sometimes trump the semantic, making truth and falsity the wrong dimension of evaluation for belief or assertion. Among the topics taken up are: racial slurs and other epithets; relations between logic and truth; the status of moral and ethical talk; vagueness and the liar paradox. The book's second half defends the idea that much of everyday thought and talk is only relatively true or false. Truth is inevitably relative, given that we cannot work out in advance how our concepts will apply to the world. Richard explains what it is for truth to be relative, rebuts standard objections to relativism, and argues that relativism is consistent with the idea that one view can be objectively better than another. The book concludes with an account of matters of taste and of how it is possible for divergent views of such matters to be equally valid, even if not true or false. When Truth Gives Out will be of interest not only to philosophers who work on language, ethics, knowledge, or logic, but to any thoughtful person who has wondered what it is, or isn't, for something to be true.