[PDF] Towards New Logic And Semantics eBook

Author : Bob Carpenter
Publisher : MIT Press
Page : 616 pages
File Size : 42,89 MB
Release : 1998-07-24
Category : Language Arts & Disciplines
ISBN : 9780262531498

GET BOOK

Based on an introductory course on natural-language semantics, this book provides an introduction to type-logical grammar and the range of linguistic phenomena that can be handled in categorial grammar. It also contains a great deal of original work on categorial grammar and its application to natural-language semantics. The author chose the type-logical categorial grammar as his grammatical basis because of its broad syntactic coverage and its strong linkage of syntax and semantics. Although its basic orientation is linguistic, the book should also be of interest to logicians and computer scientists seeking connections between logical systems and natural language. The book, which stepwise develops successively more powerful logical and grammatical systems, covers an unusually broad range of material. Topics covered include higher-order logic, applicative categorial grammar, the Lambek calculus, coordination and unbounded dependencies, quantifiers and scope, plurals, pronouns and dependency, modal logic, intensionality, and tense and aspect. The book contains more mathematical development than is usually found in texts on natural language; an appendix includes the basic mathematical concepts used throughout the book.

Author : Theodore Hailperin
Publisher : Rowman & Littlefield
Page : 124 pages
File Size : 47,85 MB
Release : 2011
Category : Mathematics
ISBN : 1611460107

GET BOOK

The present study is an extension of the topic introduced in Dr. Hailperin's Sentential Probability Logic, where the usual true-false semantics for logic is replaced with one based more on probability, and where values ranging from 0 to 1 are subject to probability axioms. Moreover, as the word "sentential" in the title of that work indicates, the language there under consideration was limited to sentences constructed from atomic (not inner logical components) sentences, by use of sentential connectives ("no," "and," "or," etc.) but not including quantifiers ("for all," "there is"). An initial introduction presents an overview of the book. In chapter one, Halperin presents a summary of results from his earlier book, some of which extends into this work. It also contains a novel treatment of the problem of combining evidence: how does one combine two items of interest for a conclusion-each of which separately impart a probability for the conclusion-so as to have a probability for the conclusion basedon taking both of the two items of interest as evidence? Chapter two enlarges the Probability Logic from the first chapter in two respects: the language now includes quantifiers ("for all," and "there is") whose variables range over atomic sentences, notentities as with standard quantifier logic. (Hence its designation: ontological neutral logic.) A set of axioms for this logic is presented. A new sentential notion-the suppositional-in essence due to Thomas Bayes, is adjoined to this logic that later becomes the basis for creating a conditional probability logic. Chapter three opens with a set of four postulates for probability on ontologically neutral quantifier language. Many properties are derived and a fundamental theorem is proved, namely, for anyprobability model (assignment of probability values to all atomic sentences of the language) there will be a unique extension of the probability values to all closed sentences of the language. The chapter concludes by showing the Borel's early denumerableprobability concept (1909) can be justified by its being, in essence, close to Hailperin's probability result applied to denumerable language. The final chapter introduces the notion of conditional-probability to a language having quantifiers of the kind

Author : Alessandro Giordani
Publisher : Springer Nature
Page : 245 pages
File Size : 22,36 MB
Release : 2020-11-19
Category : Philosophy
ISBN : 3030534871

GET BOOK

This volume clusters together issues centered upon the variety of types of intensional semantics. Consisting of 10 contributions, the volume is based on papers presented at the Trends in Logic 2019 conference. The various chapters introduce readers to the topic, or apply new types of logical semantics to elucidate subtleties of logical systems and natural language semantics. The book introduces hyperintentional systems that aim at solving some open philosophical problems. Specifically, the first three studies focus on relating semantics, while the following ones discuss fundamental issues related to hyper-intensional semantics or develop hyper-intensional frameworks to address issues in modal, epistemic, deontic and action logic. Authors in this volume present original results on logical systems but also extend beyond this by offering philosophical considerations on the topic as well. This volume will appeal to students and researchers in the field of logic.

Author : Nino B. Cocchiarella
Publisher : Oxford University Press
Page : 283 pages
File Size : 42,27 MB
Release : 2008
Category : Mathematics
ISBN : 0195366573

GET BOOK

1. Introduction. 2. The Syntax of Modal Sentential Calculi. 4. Semantics for Logical Necessity. 5. Semantics for S5. 6. Relational World Systems. 7. Quantified Modal Logic. 8. The Semantics of Quantified Modal Logic. 9. Second-Order Modal Logic. 10. Semantics of Second-Order Modal Logic. Afterword. Bibliography. Index.

Author : Rudolf Carnap
Publisher : Read Books Ltd
Page : 220 pages
File Size : 26,46 MB
Release : 2011-03-23
Category : Philosophy
ISBN : 1446545563

GET BOOK

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.

Author : David W. Agler
Publisher : Rowman & Littlefield
Page : 397 pages
File Size : 17,16 MB
Release : 2013
Category : Mathematics
ISBN : 1442217421

GET BOOK

Brimming with visual examples of concepts, derivation rules, and proof strategies, this introductory text is ideal for students with no previous experience in logic. Symbolic Logic: Syntax, Semantics, and Proof introduces students to the fundamental concepts, techniques, and topics involved in deductive reasoning. Agler guides students through the basics of symbolic logic by explaining the essentials of two classical systems, propositional and predicate logic. Students will learn translation both from formal language into English and from English into formal language; how to use truth trees and truth tables to test propositions for logical properties; and how to construct and strategically use derivation rules in proofs. This text makes this often confounding topic much more accessible with step-by-step example proofs, chapter glossaries of key terms, hundreds of homework problems and solutions for practice, and suggested further readings.

Author : Kisno
Publisher : LLC Publishing
Page : 106 pages
File Size : 36,47 MB
Release :
Category : Language Arts & Disciplines
ISBN : 6029126350

GET BOOK

I see semantics as one branch of linguistics, which is the study of language: as an area of study parallel to, and interacting with, those syntax and phonology, which deal respectively with the formal patterns of language, and the way in which these are translated into sounds. While syntax and phonology study the structure of expressive possibilities in language, semantics study the meanings that can be expressed. It may convincingly be claimed that viewing semantics as a component discipline of linguistics is the most fruitful and exciting point of departure at the present time. The book of this kind cannot attempt an overall survey of the field of semantics or at least, if it does, it will end up as a superficial compendium of what others have thought about meaning. The only sensible course is to give evidence that linguistics does exist in our life and it is hypocritical not to acknowledge that linguistics is difficult to understand due to its scientificity. Semantics is a non-fiction science through its unique approach to find the meaning of language not by guessing or judging something subjectively. The strength of the integrated view is that it makes possible a transfer to semantics of techniques of analysis which have proved successful with other aspects of language. It has to be conceded that the primary appeal of semantics is an intellectual one, similar in some respects to that of mathematics or any pure science. Only after seeking understanding for understanding’s sake can one acquire the wisdom which consists in using that understanding for good ends.