Logic, Language, and Meaning, Volume 1

Logic, Language, and Meaning, Volume 1 PDF Author: L. T. F. Gamut
Publisher: University of Chicago Press
ISBN: 9780226280844
Category : Language Arts & Disciplines
Languages : en
Pages : 376

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.

Logic, Language, and Meaning, Volume 1

Logic, Language, and Meaning, Volume 1 PDF Author: L. T. F. Gamut
Publisher: University of Chicago Press
ISBN: 9780226280844
Category : Philosophy
Languages : en
Pages : 6

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.

Meaning and Argument

Meaning and Argument PDF Author: Ernest Lepore
Publisher: John Wiley & Sons
ISBN: 1118455215
Category : Philosophy
Languages : en
Pages : 374

Book Description
Meaning and Argument is a popular introduction to philosophy of logic and philosophy of language. Offers a distinctive philosophical, rather than mathematical, approach to logic Concentrates on symbolization and works out all the technical logic with truth tables instead of derivations Incorporates the insights of half a century's work in philosophy and linguistics on anaphora by Peter Geach, Gareth Evans, Hans Kamp, and Irene Heim among others Contains numerous exercises and a corresponding answer key An extensive appendix allows readers to explore subjects that go beyond what is usually covered in an introductory logic course Updated edition includes over a dozen new problem sets and revisions throughout Features an accompanying website at http://ruccs.rutgers.edu/~logic/MeaningArgument.html

Set Theory, Logic and Their Limitations

Set Theory, Logic and Their Limitations PDF Author: Moshe Machover
Publisher: Cambridge University Press
ISBN: 9780521479981
Category : Mathematics
Languages : en
Pages : 304

Book Description
This is an introduction to set theory and logic that starts completely from scratch. The text is accompanied by many methodological remarks and explanations. A rigorous axiomatic presentation of Zermelo-Fraenkel set theory is given, demonstrating how the basic concepts of mathematics have apparently been reduced to set theory. This is followed by a presentation of propositional and first-order logic. Concepts and results of recursion theory are explained in intuitive terms, and the author proves and explains the limitative results of Skolem, Tarski, Church and Gödel (the celebrated incompleteness theorems). For students of mathematics or philosophy this book provides an excellent introduction to logic and set theory.

Meaning and Speech Acts: Volume 1, Principles of Language Use

Meaning and Speech Acts: Volume 1, Principles of Language Use PDF Author: Daniel Vanderveken
Publisher: Cambridge University Press
ISBN: 9780521374156
Category : Language Arts & Disciplines
Languages : en
Pages : 266

Book Description
In Meaning and Speech Acts Daniel Vanderveken further develops the logic of speech acts and the logic of propositions to construct a general semantic theory of natural languages.

Meaning and Necessity - A Study in Semantics and Modal Logic

Meaning and Necessity - A Study in Semantics and Modal Logic PDF Author: Rudolf Carnap
Publisher: Read Books Ltd
ISBN: 1446545563
Category : Philosophy
Languages : en
Pages : 220

Book Description
The main purpose of this book is the development of a new method for the semantical analysis of meaning, that is, a new method for analyzing and describing the meanings of linguistic expressions. This method, called the method of extension and intension, is developed by modifying and extending certain customary concepts, especially those of class and property. The method will be contrasted with various other semantical methods used in traditional philosophy or by contemporary authors. These other methods have one characteristic in common. They all regard an expression in a language as a name of a concrete or abstract entity. In contradistinction, the method here proposed takes an expression, not as naming anything, but as possessing an intension and an extension. Many of the earliest books, particularly those dating back to the 1900s and before, are now extremely scarce and increasingly expensive. We are republishing these classic works in affordable, high quality, modern editions, using the original text and artwork.

Foundations of Logico-Linguistics

Foundations of Logico-Linguistics PDF Author: W.S. Cooper
Publisher: Springer Science & Business Media
ISBN: 9789027708762
Category : Language Arts & Disciplines
Languages : en
Pages : 276

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.

Language, Thought, and Logic

Language, Thought, and Logic PDF Author: John Martin Ellis
Publisher:
ISBN:
Category : Language Arts & Disciplines
Languages : en
Pages : 184

Book Description
Argues that categorization, and not syntax, is the most important aspect of language, suggests that some philosophical problems are caused by an inadequate theory of language, and promotes a fresh approach to linguistic theory.
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