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Author: W.S. Cooper
Publisher: Springer Science & Business Media
ISBN: 9400998201
Category : Language Arts & Disciplines
Languages : en
Pages : 264
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Book Description
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: W.S. Cooper
Publisher: Springer Science & Business Media
ISBN: 9400998201
Category : Language Arts & Disciplines
Languages : en
Pages : 264
Get Book
Book Description
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: L. T. F. Gamut
Publisher: University of Chicago Press
ISBN: 022679170X
Category : Philosophy
Languages : en
Pages : 367
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Book Description
Although the two volumes of Logic, Language, and Meaning can be used independently of one another, together they provide a comprehensive overview of modern logic as it is used as a tool in the analysis of natural language. Both volumes provide exercises and their solutions.
Author: Rodger L. Jackson
Publisher: Broadview Press
ISBN: 1460402782
Category : Philosophy
Languages : en
Pages : 497
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Book Description
The Logic of Our Language teaches the practical and everyday application of formal logic. Rather than overwhelming the reader with abstract theory, Jackson and McLeod show how the skills developed through the practice of logic can help us to better understand our own language and reasoning processes. The authors’ goal is to draw attention to the patterns and logical structures inherent in our spoken and written language by teaching the reader how to translate English sentences into formal symbols. Other logical tools, including truth tables, truth trees, and natural deduction, are then introduced as techniques for examining the properties of symbolized sentences and assessing the validity of arguments. A substantial number of practice questions are offered both within the book itself and as interactive activities on a companion website.
Author: L. T. F. Gamut
Publisher: University of Chicago Press
ISBN: 9780226280844
Category : Philosophy
Languages : en
Pages : 6
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Book Description
Although the two volumes of Logic, Language, and Meaning can be used independently of one another, together they provide a comprehensive overview of modern logic as it is used as a tool in the analysis of natural language. Both volumes provide exercises and their solutions. Volume 1, Introduction to Logic, begins with a historical overview and then offers a thorough introduction to standard propositional and first-order predicate logic. It provides both a syntactic and a semantic approach to inference and validity, and discusses their relationship. Although language and meaning receive special attention, this introduction is also accessible to those with a more general interest in logic. In addition, the volume contains a survey of such topics as definite descriptions, restricted quantification, second-order logic, and many-valued logic. The pragmatic approach to non-truthconditional and conventional implicatures are also discussed. Finally, the relation between logic and formal syntax is treated, and the notions of rewrite rule, automation, grammatical complexity, and language hierarchy are explained.
Author: Johan van der Auwera
Publisher: John Benjamins Publishing
ISBN: 9027279543
Category : Philosophy
Languages : en
Pages : 256
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Book Description
In this volume Van der Auwera attempts to clarify the idea that language reflects both mind and reality and to elucidate the reflection idea by turning it into the cornerstone of a linguistic theory of meaning.
Author: A. Orenstein
Publisher: Springer Science & Business Media
ISBN: 9780792359869
Category : Language Arts & Disciplines
Languages : en
Pages : 476
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Book Description
Quine is one of the twentieth century's most important and influential philosophers. The essays in this collection are by some of the leading figures in their fields and they touch on the most recent turnings in Quine's work. The book also features an essay by Quine himself, and his replies to each of the papers. Questions are raised concerning Quine's views on knowledge: observation, holism, truth, naturalized epistemology; about language: meaning, the indeterminacy of translation, conjecture; and about the philosophy of logic: ontology, singular terms, vagueness, identity, and intensional contexts. Given Quine's preeminent position, this book must be of interest to students of philosophy in general, Quine aficionados, and most particularly to those working in the areas of epistemology, ontology, philosophies of language, of logic, and of science.
Author: Hide Ishiguro
Publisher: Cambridge University Press
ISBN: 9780521377812
Category : Philosophy
Languages : en
Pages : 264
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Book Description
This is the second edition of an important introduction to Leibniz's philosophy of logic and language first published in 1972. It takes issue with several traditional interpretations of Leibniz (by Russell amongst others) while revealing how Leibniz's thought is related to issues of great interest in current logical theory. For this new edition, the author has added new chapters on infinitesimals and conditionals as well as taking account of reviews of the first edition.
Author: Samuel Guttenplan
Publisher: Wiley-Blackwell
ISBN: 9781557869883
Category : Philosophy
Languages : en
Pages : 448
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Book Description
With the same intellectual goals as the first edition, this innovative introductory logic textbook explores the relationship between natural language and logic, motivating the student to acquire skills and techniques of formal logic. This new and revised edition includes substantial additions which make the text even more useful to students and instructors alike. Central to these changes is an Appendix, 'How to Learn Logic', which takes the student through fourteen compact and sharply directed lessons with exercises and answers.
Author: Peter Ludlow
Publisher: Oxford University Press
ISBN: 0192677632
Category : Philosophy
Languages : en
Pages : 352
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Book Description
This book takes an idea first explored by medieval logicians 800 years ago and revisits it armed with the tools of contemporary linguistics, logic, and computer science. The idea - the Holy Grail of the medieval logicians - was the thought that all of logic could be reduced to two very simple rules that are sensitive to logical polarity (for example, the presence and absence of negations). Ludlow and Živanović pursue this idea and show how it has profound consequences for our understanding of the nature of human inferential capacities. They also show its consequences for some of the deepest issues in contemporary linguistics, including the nature of quantification, puzzles about discourse anaphora and pragmatics, and even insights into the source of aboutness in natural language. The key to their enterprise is a formal relation they call "p-scope" - a polarity-sensitive relation that controls the operations that can be carried out in their Dynamic Deductive System. They show that with p-scope in play, deductions can be carried out using sublogical operations like those they call COPY and PRUNE - operations that are simple syntactic operations on sentences. They prove that the resulting deductive system is complete and sound. The result is a beautiful formal tapestry in which p-scope unlocks important properties of natural language, including the property of "restrictedness," which they prove to be equivalent to the semantic notion of conservativity. More than that, they show that restrictedness is also a key to understanding quantification and discourse anaphora, and many other linguistic phenomena.
Author: Johan van der Auwera
Publisher: John Benjamins Publishing
ISBN: 9027250022
Category : Philosophy
Languages : en
Pages : 271
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Book Description
In this volume Van der Auwera attempts to clarify the idea that language reflects both mind and reality and to elucidate the reflection idea by turning it into the cornerstone of a linguistic theory of meaning.
