Introduction to Symbolic Logic and Its Applications

Introduction to Symbolic Logic and Its Applications
Author: Rudolf Carnap
Publisher: Courier Corporation
Total Pages: 280
Release: 2012-07-12
Genre: Mathematics
ISBN: 048614349X

Clear, comprehensive, and rigorous treatment develops the subject from elementary concepts to the construction and analysis of relatively complex logical languages. Hundreds of problems, examples, and exercises. 1958 edition.

Language, Form(s) of Life, and Logic

Language, Form(s) of Life, and Logic
Author: Christian Martin
Publisher: Walter de Gruyter GmbH & Co KG
Total Pages: 342
Release: 2018-09-10
Genre: Philosophy
ISBN: 3110518287

This volume deals with the connection between thinking-and-speaking and our form(s) of life. All contributions engage with Wittgenstein’s approach to this topic. As a whole, the volume takes a stance against both biological and ethnological interpretations of the notion "form of life" and seeks to promote a broadly logico-linguistic understanding instead. The structure of this book is threefold. Part one focuses on lines of thinking that lead from Wittgenstein’s earlier thought to the concept of form of life in his later work. Contributions to part two examine the concrete philosophical function of this notion as well as the ways in which it differs from cognate concepts. Contributions to part three put Wittgenstein’s notion of form of life in perspective by relating it to phenomenology, ordinary language philosophy and problems in contemporary analytic philosophy.

The Logic of Our Language

The Logic of Our Language
Author: Rodger L. Jackson
Publisher: Broadview Press
Total Pages: 354
Release: 2014-11-04
Genre: Philosophy
ISBN: 1460402782

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.

Logic as Grammar

Logic as Grammar
Author: Norbert Hornstein
Publisher: MIT Press
Total Pages: 196
Release: 1984
Genre: Language Arts & Disciplines
ISBN: 9780262081375

How is the meaning of natural language interpreted? Taking as its point of departure the logical problem of natural language acquisition, this book elaborates a theory of meaning based on syntactical rather than semantical processes. Copyright © Libri GmbH. All rights reserved.

Logic and Its Applications

Logic and Its Applications
Author: Edmund Burke
Publisher:
Total Pages: 336
Release: 1996
Genre: Computers
ISBN:

This book is an introduction to mathematical logic and its application to the field of computer science. Starting with the first principles of logic, the theory is reinforced by detailed applications.

Logical Form

Logical Form
Author: Andrea Iacona
Publisher: Springer
Total Pages: 139
Release: 2018-01-28
Genre: Philosophy
ISBN: 3319741543

Logical form has always been a prime concern for philosophers belonging to the analytic tradition. For at least one century, the study of logical form has been widely adopted as a method of investigation, relying on its capacity to reveal the structure of thoughts or the constitution of facts. This book focuses on the very idea of logical form, which is directly relevant to any principled reflection on that method. Its central thesis is that there is no such thing as a correct answer to the question of what is logical form: two significantly different notions of logical form are needed to fulfill two major theoretical roles that pertain respectively to logic and to semantics. This thesis has a negative and a positive side. The negative side is that a deeply rooted presumption about logical form turns out to be overly optimistic: there is no unique notion of logical form that can play both roles. The positive side is that the distinction between two notions of logical form, once properly spelled out, sheds light on some fundamental issues concerning the relation between logic and language.

Rewriting Logic and Its Applications

Rewriting Logic and Its Applications
Author: Peter Csaba Ölveczky
Publisher: Springer Science & Business Media
Total Pages: 272
Release: 2010-10-06
Genre: Computers
ISBN: 3642163092

This volume contains the proceedings of the Eighth International Workshop on Rewriting Logic and its Applications (WRLA 2010) that was held in Paphos, Cyprus, March 20–21, 2010, as a satellite workshop of the European Joint C- ferences on Theory and Practice of Software (ETAPS 2010). Rewriting logic is a natural semantic framework for representing conc- rency,parallelism,communicationandinteraction,aswellasbeing anexpressive (meta)logical framework for representing logics. It can then be used for spe- fying a wide range of systems and programming languages in various appli- tion ?elds. In recent years, several executable speci?cation languages based on rewriting logic (ASF+SDF, CafeOBJ, ELAN, Maude) have been designed and implemented. The aim of the WRLA workshop series is to bring together - searchers with a common interest in rewriting logic and its applications, and to give them the opportunity to present their recent works, discuss future research directions, and exchange ideas. Previous WRLA workshops were held in Asilomar (1996), Pont-a-Mousson ` (1998), Kanazawa (2000), Pisa (2002), Barcelona (2004), Vienna (2006), and Budapest (2008), and their proceedings have been published inElectronic Notes in Theoretical Computer Science. In addition, selected papers from WRLA 1996 have been published in a special issue of Theoretical Computer Science,and selected papers from WRLA 2004 appeared in a special issue of Higher-Order and Symbolic Computation.

Logical Syntax of Language

Logical Syntax of Language
Author: Rudolf Carnap
Publisher: Routledge
Total Pages: 369
Release: 2014-06-23
Genre: Philosophy
ISBN: 1317830601

This is IV volume of eight in a series on Philosophy of the Mind and Language. For nearly a century mathematicians and logicians have been striving hard to make logic an exact science. But a book on logic must contain, in addition to the formulae, an expository context which, with the assistance of the words of ordinary language, explains the formulae and the relations between them; and this context often leaves much to be desired in the matter of clarity and exactitude. Originally published in 1937, the purpose of the present work is to give a systematic exposition of such a method, namely, of the method of " logical syntax".

Wittgenstein’s Language

Wittgenstein’s Language
Author: T. Binkley
Publisher: Springer Science & Business Media
Total Pages: 244
Release: 2012-12-06
Genre: Philosophy
ISBN: 9401024502

One of the first things to strike the reader of Wittgenstein's writings is the unique power of his style. One immediately notices the intriguing and arrangement of the paragraphs in Philosophical Investi composition gations, or the stark assertiveness of the sentences in the Tractatus Logico Philosophicus. A sense of the singular style being employed is unavoidable, even before the reader understands anything of what is happening philos ophically. Perhaps precisely for this reason it is too often assumed that coming to understand either work has little or nothing to do with re sponding to its form. The unusual style is a mere curiousity decorating the vehicle of Wittgenstein's ideas. Form is assigned a purely incidental import, there is a coincidence of this or that rhetorical flair with the yet to be determined content of the thoughts. The remarkableness of the style is perhaps registered in a tidy obiter dictum standing beside the more arduous task of discovering the substance of the ideas being presented. our interest, or at Wittgenstein's peculiar way of writing ably captures least our attention, but it bears only minor philosophical import. Though not unprecedented as a form of philosophical composition, it does not conform to the currently acceptable conventions; hence Wittgenstein's style is often thought to stand in the way of understanding his meaning. Such assumptions can be harmless for certain types of writing; however it does not appear as though Wittgenstein's is one of these.