Functions And Generality Of Logic

Download Functions And Generality Of Logic full books in PDF, epub, and Kindle. Read online Functions And Generality Of Logic ebook anywhere anytime directly on your device. Fast Download speed and no annoying ads. We cannot guarantee that every ebooks is available!

Functions and Generality of Logic

Author : Hourya Benis-Sinaceur
Publisher : Springer
ISBN 13 : 3319171097
Total Pages : 125 pages
Book Rating : 4.3/5 (191 download)

DOWNLOAD NOW!

Book Synopsis Functions and Generality of Logic by : Hourya Benis-Sinaceur

Download or read book Functions and Generality of Logic written by Hourya Benis-Sinaceur and published by Springer. This book was released on 2015-06-24 with total page 125 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book examines three connected aspects of Frege’s logicism: the differences between Dedekind’s and Frege’s interpretation of the term ‘logic’ and related terms and reflects on Frege’s notion of function, comparing its understanding and the role it played in Frege’s and Lagrange’s foundational programs. It concludes with an examination of the notion of arbitrary function, taking into account Frege’s, Ramsey’s and Russell’s view on the subject. Composed of three chapters, this book sheds light on important aspects of Dedekind’s and Frege’s logicisms. The first chapter explains how, although he shares Frege’s aim at substituting logical standards of rigor to intuitive imports from spatio-temporal experience into the deductive presentation of arithmetic, Dedekind had a different goal and used or invented different tools. The chapter highlights basic dissimilarities between Dedekind’s and Frege’s actual ways of doing and thinking. The second chapter reflects on Frege’s notion of a function, in comparison with the notions endorsed by Lagrange and the followers of the program of arithmetization of analysis. It remarks that the foundational programs pursued by Lagrange and Frege are crucially different and based on a different idea of what the foundations of mathematics should be like. However, despite this contrast, the notion of function plays similar roles in the two programs, and this chapter emphasizes the similarities. The third chapter traces the development of thinking about Frege’s program in the foundations of mathematics, and includes comparisons of Frege’s, Russell’s and Ramsey’s views. The chapter discusses earlier papers written by Hintikka, Sandu, Demopoulos and Trueman. Although the chapter’s main focus is on the notion of arbitrary correlation, it starts out by discussing some aspects of the connection between this notion and Dedekind Theorem.

Wittgenstein on Logic as the Method of Philosophy

Author : Oskari Kuusela
Publisher : Oxford University Press
ISBN 13 : 0192565311
Total Pages : 312 pages
Book Rating : 4.1/5 (925 download)

DOWNLOAD NOW!

Book Synopsis Wittgenstein on Logic as the Method of Philosophy by : Oskari Kuusela

Download or read book Wittgenstein on Logic as the Method of Philosophy written by Oskari Kuusela and published by Oxford University Press. This book was released on 2019-01-03 with total page 312 pages. Available in PDF, EPUB and Kindle. Book excerpt: In Wittgenstein on Logic as the Method of Philosophy, Oskari Kuusela examines Wittgenstein's early and late philosophies of logic, situating their philosophical significance in early and middle analytic philosophy with particular reference to Frege, Russell, Carnap, and Strawson. He argues that not only the early but also the later Wittgenstein sought to further develop the logical-philosophical approaches of his contemporaries. Throughout his career Wittgenstein's aim was to resolve problems with and address the limitations of Frege's and Russell's accounts of logic and their logical methodologies so as to achieve the philosophical progress that originally motivated the logical-philosophical approach. By re-examining the roots and development of analytic philosophy, Kuusela seeks to open up covered up paths for the further development of analytic philosophy. Offering a novel interpretation of the philosopher, he explains how Wittgenstein extends logical methodology beyond calculus-based logical methods and how his novel account of the status of logic enables one to do justice to the complexity and richness of language use and thought while retaining rigour and ideals of logic such as simplicity and exactness. In addition, this volume outlines the new kind of non-empiricist naturalism developed in Wittgenstein's later work and explaining how his account of logic can be used to dissolve the long-standing methodological dispute between the ideal and ordinary language schools of analytic philosophy. It is of interest to scholars, researchers, and advance students of philosophy interested in engaging with a number of scholarly debates.

Logic

Author : Alexander BAIN (Professor of Logic in the University of Aberdeen.)
Publisher :
ISBN 13 :
Total Pages : 296 pages
Book Rating : 4.0/5 (25 download)

DOWNLOAD NOW!

Book Synopsis Logic by : Alexander BAIN (Professor of Logic in the University of Aberdeen.)

Download or read book Logic written by Alexander BAIN (Professor of Logic in the University of Aberdeen.) and published by . This book was released on 1870 with total page 296 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Logic ...

Author : Alexander Bain
Publisher :
ISBN 13 :
Total Pages : 754 pages
Book Rating : 4.3/5 (91 download)

DOWNLOAD NOW!

Book Synopsis Logic ... by : Alexander Bain

Download or read book Logic ... written by Alexander Bain and published by . This book was released on 1889 with total page 754 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Logic by Alexander Bain

Author : Alexander Bain
Publisher :
ISBN 13 :
Total Pages : 338 pages
Book Rating : 4.0/5 (1 download)

DOWNLOAD NOW!

Book Synopsis Logic by Alexander Bain by : Alexander Bain

Download or read book Logic by Alexander Bain written by Alexander Bain and published by . This book was released on 1870 with total page 338 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Logic: Deductive and Inductive

Author : Alexander Bain
Publisher :
ISBN 13 :
Total Pages : 766 pages
Book Rating : 4.:/5 (321 download)

DOWNLOAD NOW!

Book Synopsis Logic: Deductive and Inductive by : Alexander Bain

Download or read book Logic: Deductive and Inductive written by Alexander Bain and published by . This book was released on 1889 with total page 766 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Principia Mathematica

Author : Alfred North Whitehead
Publisher :
ISBN 13 :
Total Pages : 696 pages
Book Rating : 4.L/5 ( download)

DOWNLOAD NOW!

Book Synopsis Principia Mathematica by : Alfred North Whitehead

Download or read book Principia Mathematica written by Alfred North Whitehead and published by . This book was released on 1910 with total page 696 pages. Available in PDF, EPUB and Kindle. Book excerpt:

The Logic of Sequences

Author : Willard Van Orman Quine
Publisher : Dissertations-G
ISBN 13 :
Total Pages : 312 pages
Book Rating : 4.3/5 (91 download)

DOWNLOAD NOW!

Book Synopsis The Logic of Sequences by : Willard Van Orman Quine

Download or read book The Logic of Sequences written by Willard Van Orman Quine and published by Dissertations-G. This book was released on 1990 with total page 312 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Philosophy of Logic and Mathematics

Author : Gabriele M. Mras
Publisher : Walter de Gruyter GmbH & Co KG
ISBN 13 : 3110654547
Total Pages : 565 pages
Book Rating : 4.1/5 (16 download)

DOWNLOAD NOW!

Book Synopsis Philosophy of Logic and Mathematics by : Gabriele M. Mras

Download or read book Philosophy of Logic and Mathematics written by Gabriele M. Mras and published by Walter de Gruyter GmbH & Co KG. This book was released on 2019-11-18 with total page 565 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume presents different conceptions of logic and mathematics and discuss their philosophical foundations and consequences. This concerns first of all topics of Wittgenstein's ideas on logic and mathematics; questions about the structural complexity of propositions; the more recent debate about Neo-Logicism and Neo-Fregeanism; the comparison and translatability of different logics; the foundations of mathematics: intuitionism, mathematical realism, and formalism. The contributing authors are Matthias Baaz, Francesco Berto, Jean-Yves Beziau, Elena Dragalina-Chernya, Günther Eder, Susan Edwards-McKie, Oliver Feldmann, Juliet Floyd, Norbert Gratzl, Richard Heinrich, Janusz Kaczmarek, Wolfgang Kienzler, Timm Lampert, Itala Maria Loffredo D'Ottaviano, Paolo Mancosu, Matthieu Marion, Felix Mühlhölzer, Charles Parsons, Edi Pavlovic, Christoph Pfisterer, Michael Potter, Richard Raatzsch, Esther Ramharter, Stefan Riegelnik, Gabriel Sandu, Georg Schiemer, Gerhard Schurz, Dana Scott, Stewart Shapiro, Karl Sigmund, William W. Tait, Mark van Atten, Maria van der Schaar, Vladimir Vasyukov, Jan von Plato, Jan Woleński and Richard Zach.

The Oxford Handbook of Philosophy of Mathematics and Logic

Author : Stewart Shapiro
Publisher : Oxford University Press
ISBN 13 : 0198033990
Total Pages : 856 pages
Book Rating : 4.1/5 (98 download)

DOWNLOAD NOW!

Book Synopsis The Oxford Handbook of Philosophy of Mathematics and Logic by : Stewart Shapiro

Download or read book The Oxford Handbook of Philosophy of Mathematics and Logic written by Stewart Shapiro and published by Oxford University Press. This book was released on 2005-02-10 with total page 856 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematics and logic have been central topics of concern since the dawn of philosophy. Since logic is the study of correct reasoning, it is a fundamental branch of epistemology and a priority in any philosophical system. Philosophers have focused on mathematics as a case study for general philosophical issues and for its role in overall knowledge- gathering. Today, philosophy of mathematics and logic remain central disciplines in contemporary philosophy, as evidenced by the regular appearance of articles on these topics in the best mainstream philosophical journals; in fact, the last decade has seen an explosion of scholarly work in these areas. This volume covers these disciplines in a comprehensive and accessible manner, giving the reader an overview of the major problems, positions, and battle lines. The 26 contributed chapters are by established experts in the field, and their articles contain both exposition and criticism as well as substantial development of their own positions. The essays, which are substantially self-contained, serve both to introduce the reader to the subject and to engage in it at its frontiers. Certain major positions are represented by two chapters--one supportive and one critical. The Oxford Handbook of Philosophy of Math and Logic is a ground-breaking reference like no other in its field. It is a central resource to those wishing to learn about the philosophy of mathematics and the philosophy of logic, or some aspect thereof, and to those who actively engage in the discipline, from advanced undergraduates to professional philosophers, mathematicians, and historians.

Frege's Logic

Author : Danielle MACBETH
Publisher : Harvard University Press
ISBN 13 : 0674040392
Total Pages : 219 pages
Book Rating : 4.6/5 (74 download)

DOWNLOAD NOW!

Book Synopsis Frege's Logic by : Danielle MACBETH

Download or read book Frege's Logic written by Danielle MACBETH and published by Harvard University Press. This book was released on 2009-06-30 with total page 219 pages. Available in PDF, EPUB and Kindle. Book excerpt: For many philosophers, modern philosophy begins in 1879 with the publication of Frege's Begriffsschrift, in which Frege presents the first truly modern logic in his symbolic language, Begriffsschrift, or concept-script. Macbeth's book, the first full-length study of this language, offers a highly original new reading of Frege's logic based directly on Frege's own two-dimensional notation and his various writings about logic.

The Functional Interpretation of Logical Deduction

Author : Anjolina G. de Oliveira
Publisher : World Scientific
ISBN 13 : 9814360961
Total Pages : 299 pages
Book Rating : 4.8/5 (143 download)

DOWNLOAD NOW!

Book Synopsis The Functional Interpretation of Logical Deduction by : Anjolina G. de Oliveira

Download or read book The Functional Interpretation of Logical Deduction written by Anjolina G. de Oliveira and published by World Scientific. This book was released on 2012 with total page 299 pages. Available in PDF, EPUB and Kindle. Book excerpt: This comprehensive book provides an adequate framework to establish various calculi of logical inference. Being an OCyenrichedOCO system of natural deduction, it helps to formulate logical calculi in an operational manner. By uncovering a certain harmony between a functional calculus on the labels and a logical calculus on the formulas, it allows mathematical foundations for systems of logic presentation designed to handle meta-level features at the object-level via a labelling mechanism, such as the D Gabbay's Labelled Deductive Systems. The book truly demonstrates that introducing OCylabelsOCO is useful to understand the proof-calculus itself, and also to clarify its connections with model-theoretic interpretations.

Elucidating the Tractatus

Author : Marie McGinn
Publisher : OUP Oxford
ISBN 13 : 0191529591
Total Pages : 332 pages
Book Rating : 4.1/5 (915 download)

DOWNLOAD NOW!

Book Synopsis Elucidating the Tractatus by : Marie McGinn

Download or read book Elucidating the Tractatus written by Marie McGinn and published by OUP Oxford. This book was released on 2006-11-16 with total page 332 pages. Available in PDF, EPUB and Kindle. Book excerpt: Discussion of Wittgenstein's Tractatus is currently dominated by two opposing interpretations of the work: a metaphysical or realist reading and the 'resolute' reading of Diamond and Conant. Marie McGinn's principal aim in this book is to develop an alternative interpretative line, which rejects the idea, central to the metaphysical reading, that Wittgenstein sets out to ground the logic of our language in features of an independently constituted reality, but which allows that he aims to provide positive philosophical insights into how language functions. McGinn takes as a guiding principle the idea that we should see Wittgenstein's early work as an attempt to eschew philosophical theory and to allow language itself to reveal how it functions. By this account, the aim of the work is to elucidate what language itself makes clear, namely, what is essential to its capacity to express thoughts that are true or false. However, the early Wittgenstein undertakes this descriptive project in the grip of a set of preconceptions concerning the essence of language that determine both how he conceives the problem and the approach he takes to the task of clarification. Nevertheless, the Tractatus contains philosophical insights, achieved despite his early preconceptions, that form the foundation of his later philosophy. The anti-metaphysical interpretation that is presented includes a novel reading of the problematic opening sections of the Tractatus, in which the apparently metaphysical status of Wittgenstein's remarks is shown to be an illusion. The book includes a discussion of the philosophical background to the Tractatus, a comprehensive interpretation of Wittgenstein's early views of logic and language, and an interpretation of the remarks on solipsism. The final chapter is a discussion of the relation between the early and the later philosophy that articulates the fundamental shift in Wittgenstein's approach to the task of understanding how language functions and reveal the still more fundamental continuity in his conception of his philosophical task.

Wittgenstein: Connections and Controversies

Author : P. M. S Hacker
Publisher : Oxford University Press
ISBN 13 : 019924569X
Total Pages : 400 pages
Book Rating : 4.1/5 (992 download)

DOWNLOAD NOW!

Book Synopsis Wittgenstein: Connections and Controversies by : P. M. S Hacker

Download or read book Wittgenstein: Connections and Controversies written by P. M. S Hacker and published by Oxford University Press. This book was released on 2001-11-22 with total page 400 pages. Available in PDF, EPUB and Kindle. Book excerpt: Wittgenstein: Connections and Controversies consists of thirteen thematically linked essays on different aspects of the philosophy of Wittgenstein, by one of the leading commentators on his work. After an opening overview of Wittgenstein's philosophy the following essays fall into two classes: those that investigate connections between the philosophy of Wittgenstein and other philosophers and philosophical trends, and those which enter into some of the controversies that, over the last two decades, have raged over the interpretation of one aspect or another of Wittgenstein's writings. The connections that are explored include the relationship between Wittgenstein's philosophy and the humanistic and hermeneutic traditions in European philosophy, Wittgenstein's response to Frazer's Golden Bough and the interpretation of ritual actions, his attitude towards and criticisms of Frege (both in the Tractatus and in the later philosophy), the relationship between his ideas and those of members of the Vienna Circle on the matter of ostensive definition, and a comparison of Carnap's conception of the elimination of metaphysics and of Strawson's rehabilitation of metaphysics with Wittgenstein's later criticisms of metaphysics. The controversies into which Hacker enters include the Diamond-Conant interpretation of the Tractatus (which is shown to be inconsistent with the text of the Tractatus and with Wittgenstein's explanations of and comments on his book), Winch's interpretation of the Tractatus conception of names, Kripke's interpretation of Wittgenstein's discussion of following a rule (which is demonstrated to be remote from Wittgenstein's intentions), and Malcolm's defence of the idea that Wittgenstein claimed that mastery of a language logically requires that the language be shared with other speakers. These far-ranging essays, several of them previously unpublished or difficult to find, shed much light upon different aspects of Wittgenstein's thought, and upon the controversies which it has stimulated.

A Computational Logic

Author : Robert S. Boyer
Publisher : Academic Press
ISBN 13 : 1483277887
Total Pages : 414 pages
Book Rating : 4.4/5 (832 download)

DOWNLOAD NOW!

Book Synopsis A Computational Logic by : Robert S. Boyer

Download or read book A Computational Logic written by Robert S. Boyer and published by Academic Press. This book was released on 2014-06-25 with total page 414 pages. Available in PDF, EPUB and Kindle. Book excerpt: ACM Monograph Series: A Computational Logic focuses on the use of induction in proving theorems, including the use of lemmas and axioms, free variables, equalities, and generalization. The publication first elaborates on a sketch of the theory and two simple examples, a precise definition of the theory, and correctness of a tautology-checker. Topics include mechanical proofs, informal development, formal specification of the problem, well-founded relations, natural numbers, and literal atoms. The book then examines the use of type information to simplify formulas, use of axioms and lemmas as rewrite rules, and the use of definitions. Topics include nonrecursive functions, computing values, free variables in hypothesis, infinite backwards chaining, infinite looping, computing type sets, and type prescriptions. The manuscript takes a look at rewriting terms and simplifying clauses, eliminating destructors and irrelevance, using equalities, and generalization. Concerns include reasons for eliminating isolated hypotheses, precise statement of the generalization heuristic, restricting generalizations, precise use of equalities, and multiple destructors and infinite looping. The publication is a vital source of data for researchers interested in computational logic.

Concise Encyclopedia of Philosophy of Language and Linguistics

Author : Alex Barber
Publisher : Elsevier
ISBN 13 : 9780080965017
Total Pages : 836 pages
Book Rating : 4.9/5 (65 download)

DOWNLOAD NOW!

Book Synopsis Concise Encyclopedia of Philosophy of Language and Linguistics by : Alex Barber

Download or read book Concise Encyclopedia of Philosophy of Language and Linguistics written by Alex Barber and published by Elsevier. This book was released on 2010-04-06 with total page 836 pages. Available in PDF, EPUB and Kindle. Book excerpt: The application of philosophy to language study, and language study to philosophy, has experienced demonstrable intellectual growth and diversification in recent decades. Concise Encyclopedia of Philosophy of Language and Linguistics comprehensively analyzes and evaluates many of the most interesting facets of this vibrant field. An edited collection of articles taken from the award-winning Encyclopedia of Language and Linguistics, Second Edition, this volume acts as a single-stop desk reference resource for the field, comprising contributions from the foremost scholars of philosophy of linguistics in their various interdisciplinary specializations. From Plato's Cratylus to Semantic and Epistemic Holism, this fascinating work authoritatively unpacks the diverse and multi-layered concepts of meaning, expression, identity, truth, and countless other themes and subjects straddling the linguistic-philosophical meridian, in 175 articles and over 900 pages. Authoritative review of this dynamic field placed in an interdisciplinary context Approximately 175 articles by leaders in the field Compact and affordable single-volume format

Frege: A Guide for the Perplexed

Author : Edward Kanterian
Publisher : Bloomsbury Publishing
ISBN 13 : 1441116311
Total Pages : 264 pages
Book Rating : 4.4/5 (411 download)

DOWNLOAD NOW!

Book Synopsis Frege: A Guide for the Perplexed by : Edward Kanterian

Download or read book Frege: A Guide for the Perplexed written by Edward Kanterian and published by Bloomsbury Publishing. This book was released on 2012-05-31 with total page 264 pages. Available in PDF, EPUB and Kindle. Book excerpt: Gottlob Frege (1848-1925) was one of the founders of analytical philosophy and the greatest innovator in logic since Aristotle. He introduced many influential philosophical ideas, such as the distinctions between function and argument, or between sense and reference. However, his thought is not readily accessible to the non- expert. His conception of logic, which was crucial to his grand project, the reduction of arithmetic to logic, is especially difficult to grasp. This book provides a lucid and critical introduction to Frege's logic, as he developed it in his groundbreaking first book Begriffsschrift (Conceptual Notation, 1879). It guides the reader directly to the core of Frege's philosophy, and to some of the most pertinent issues in contemporary philosophy of language, logic, mathematics, and mind. Unlike most other books, this commentary explains Frege's own logical notation, allowing students to study and appreciate those aspects of his work that he valued most but are least understood today.