On The Theory Of Logic

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On Logic and the Theory of Science

Author : Jean Cavailles
Publisher : MIT Press
ISBN 13 : 1913029417
Total Pages : 143 pages
Book Rating : 4.9/5 (13 download)

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Book Synopsis On Logic and the Theory of Science by : Jean Cavailles

Download or read book On Logic and the Theory of Science written by Jean Cavailles and published by MIT Press. This book was released on 2021-04-27 with total page 143 pages. Available in PDF, EPUB and Kindle. Book excerpt: A new translation of the final work of French philosopher Jean Cavaillès. In this short, dense essay, Jean Cavaillès evaluates philosophical efforts to determine the origin—logical or ontological—of scientific thought, arguing that, rather than seeking to found science in original intentional acts, a priori meanings, or foundational logical relations, any adequate theory must involve a history of the concept. Cavaillès insists on a historical epistemology that is conceptual rather than phenomenological, and a logic that is dialectical rather than transcendental. His famous call (cited by Foucault) to abandon "a philosophy of consciousness" for "a philosophy of the concept" was crucial in displacing the focus of philosophical enquiry from aprioristic foundations toward structural historical shifts in the conceptual fabric. This new translation of Cavaillès's final work, written in 1942 during his imprisonment for Resistance activities, presents an opportunity to reencounter an original and lucid thinker. Cavaillès's subtle adjudication between positivistic claims that science has no need of philosophy, and philosophers' obstinate disregard for actual scientific events, speaks to a dilemma that remains pertinent for us today. His affirmation of the authority of scientific thinking combined with his commitment to conceptual creation yields a radical defense of the freedom of thought and the possibility of the new.

Philosophy of Logic

Author :
Publisher : Elsevier
ISBN 13 : 9780080466637
Total Pages : 1218 pages
Book Rating : 4.4/5 (666 download)

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Book Synopsis Philosophy of Logic by :

Download or read book Philosophy of Logic written by and published by Elsevier. This book was released on 2006-11-29 with total page 1218 pages. Available in PDF, EPUB and Kindle. Book excerpt: The papers presented in this volume examine topics of central interest in contemporary philosophy of logic. They include reflections on the nature of logic and its relevance for philosophy today, and explore in depth developments in informal logic and the relation of informal to symbolic logic, mathematical metatheory and the limiting metatheorems, modal logic, many-valued logic, relevance and paraconsistent logic, free logics, extensional v. intensional logics, the logic of fiction, epistemic logic, formal logical and semantic paradoxes, the concept of truth, the formal theory of entailment, objectual and substitutional interpretation of the quantifiers, infinity and domain constraints, the Löwenheim-Skolem theorem and Skolem paradox, vagueness, modal realism v. actualism, counterfactuals and the logic of causation, applications of logic and mathematics to the physical sciences, logically possible worlds and counterpart semantics, and the legacy of Hilbert’s program and logicism. The handbook is meant to be both a compendium of new work in symbolic logic and an authoritative resource for students and researchers, a book to be consulted for specific information about recent developments in logic and to be read with pleasure for its technical acumen and philosophical insights. - Written by leading logicians and philosophers - Comprehensive authoritative coverage of all major areas of contemporary research in symbolic logic - Clear, in-depth expositions of technical detail - Progressive organization from general considerations to informal to symbolic logic to nonclassical logics - Presents current work in symbolic logic within a unified framework - Accessible to students, engaging for experts and professionals - Insightful philosophical discussions of all aspects of logic - Useful bibliographies in every chapter

Logic for Philosophy

Author : Theodore Sider
Publisher : Oxford University Press
ISBN 13 : 0192658816
Total Pages : 305 pages
Book Rating : 4.1/5 (926 download)

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Book Synopsis Logic for Philosophy by : Theodore Sider

Download or read book Logic for Philosophy written by Theodore Sider and published by Oxford University Press. This book was released on 2010-01-07 with total page 305 pages. Available in PDF, EPUB and Kindle. Book excerpt: Logic for Philosophy is an introduction to logic for students of contemporary philosophy. It is suitable both for advanced undergraduates and for beginning graduate students in philosophy. It covers (i) basic approaches to logic, including proof theory and especially model theory, (ii) extensions of standard logic that are important in philosophy, and (iii) some elementary philosophy of logic. It emphasizes breadth rather than depth. For example, it discusses modal logic and counterfactuals, but does not prove the central metalogical results for predicate logic (completeness, undecidability, etc.) Its goal is to introduce students to the logic they need to know in order to read contemporary philosophical work. It is very user-friendly for students without an extensive background in mathematics. In short, this book gives you the understanding of logic that you need to do philosophy.

A Logical Theory of Causality

Author : Alexander Bochman
Publisher : MIT Press
ISBN 13 : 0262362244
Total Pages : 367 pages
Book Rating : 4.2/5 (623 download)

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Book Synopsis A Logical Theory of Causality by : Alexander Bochman

Download or read book A Logical Theory of Causality written by Alexander Bochman and published by MIT Press. This book was released on 2021-08-17 with total page 367 pages. Available in PDF, EPUB and Kindle. Book excerpt: A general formal theory of causal reasoning as a logical study of causal models, reasoning, and inference. In this book, Alexander Bochman presents a general formal theory of causal reasoning as a logical study of causal models, reasoning, and inference, basing it on a supposition that causal reasoning is not a competitor of logical reasoning but its complement for situations lacking logically sufficient data or knowledge. Bochman also explores the relationship of this theory with the popular structural equation approach to causality proposed by Judea Pearl and explores several applications ranging from artificial intelligence to legal theory, including abduction, counterfactuals, actual and proximate causality, dynamic causal models, and reasoning about action and change in artificial intelligence. As logical preparation, before introducing causal concepts, Bochman describes an alternative, situation-based semantics for classical logic that provides a better understanding of what can be captured by purely logical means. He then presents another prerequisite, outlining those parts of a general theory of nonmonotonic reasoning that are relevant to his own theory. These two components provide a logical background for the main, two-tier formalism of the causal calculus that serves as the formal basis of his theory. He presents the main causal formalism of the book as a natural generalization of classical logic that allows for causal reasoning. This provides a formal background for subsequent chapters. Finally, Bochman presents a generalization of causal reasoning to dynamic domains.

The Evolution of Logic

Author : W. D. Hart
Publisher : Cambridge University Press
ISBN 13 : 1139491202
Total Pages : pages
Book Rating : 4.1/5 (394 download)

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Book Synopsis The Evolution of Logic by : W. D. Hart

Download or read book The Evolution of Logic written by W. D. Hart and published by Cambridge University Press. This book was released on 2010-08-23 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: Examines the relations between logic and philosophy over the last 150 years. Logic underwent a major renaissance beginning in the nineteenth century. Cantor almost tamed the infinite, and Frege aimed to undercut Kant by reducing mathematics to logic. These achievements were threatened by the paradoxes, like Russell's. This ferment generated excellent philosophy (and mathematics) by excellent philosophers (and mathematicians) up to World War II. This book provides a selective, critical history of the collaboration between logic and philosophy during this period. After World War II, mathematical logic became a recognized subdiscipline in mathematics departments, and consequently but unfortunately philosophers have lost touch with its monuments. This book aims to make four of them (consistency and independence of the continuum hypothesis, Post's problem, and Morley's theorem) more accessible to philosophers, making available the tools necessary for modern scholars of philosophy to renew a productive dialogue between logic and philosophy.

The Logic of Information

Author : Luciano Floridi
Publisher : Oxford University Press
ISBN 13 : 0192570277
Total Pages : 224 pages
Book Rating : 4.1/5 (925 download)

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Book Synopsis The Logic of Information by : Luciano Floridi

Download or read book The Logic of Information written by Luciano Floridi and published by Oxford University Press. This book was released on 2019-01-21 with total page 224 pages. Available in PDF, EPUB and Kindle. Book excerpt: Luciano Floridi presents an innovative approach to philosophy, conceived as conceptual design. He explores how we make, transform, refine, and improve the objects of our knowledge. His starting point is that reality provides the data, to be understood as constraining affordances, and we transform them into information, like semantic engines. Such transformation or repurposing is not equivalent to portraying, or picturing, or photographing, or photocopying anything. It is more like cooking: the dish does not represent the ingredients, it uses them to make something else out of them, yet the reality of the dish and its properties hugely depend on the reality and the properties of the ingredients. Models are not representations understood as pictures, but interpretations understood as data elaborations, of systems. Thus, he articulates and defends the thesis that knowledge is design and philosophy is the ultimate form of conceptual design. Although entirely independent of Floridi's previous books, The Philosophy of Information (OUP 2011) and The Ethics of Information (OUP 2013), The Logic of Information both complements the existing volumes and presents new work on the foundations of the philosophy of information.

The Logic in Philosophy of Science

Author : Hans Halvorson
Publisher : Cambridge University Press
ISBN 13 : 1107110998
Total Pages : 305 pages
Book Rating : 4.1/5 (71 download)

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Book Synopsis The Logic in Philosophy of Science by : Hans Halvorson

Download or read book The Logic in Philosophy of Science written by Hans Halvorson and published by Cambridge University Press. This book was released on 2019-07-11 with total page 305 pages. Available in PDF, EPUB and Kindle. Book excerpt: Reconsiders the role of formal logic in the analytic approach to philosophy, using cutting-edge mathematical techniques to elucidate twentieth-century debates.

Set Theory, Logic and Their Limitations

Author : Moshe Machover
Publisher : Cambridge University Press
ISBN 13 : 9780521479981
Total Pages : 304 pages
Book Rating : 4.4/5 (799 download)

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Book Synopsis Set Theory, Logic and Their Limitations by : Moshe Machover

Download or read book Set Theory, Logic and Their Limitations written by Moshe Machover and published by Cambridge University Press. This book was released on 1996-05-23 with total page 304 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

The Theory of Logical Types (Routledge Revivals)

Author : Irving M. Copi
Publisher : Routledge
ISBN 13 : 1136816135
Total Pages : 174 pages
Book Rating : 4.1/5 (368 download)

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Book Synopsis The Theory of Logical Types (Routledge Revivals) by : Irving M. Copi

Download or read book The Theory of Logical Types (Routledge Revivals) written by Irving M. Copi and published by Routledge. This book was released on 2011-02-28 with total page 174 pages. Available in PDF, EPUB and Kindle. Book excerpt: This reissue, first published in 1971, provides a brief historical account of the Theory of Logical Types; and describes the problems that gave rise to it, its various different formulations (Simple and Ramified), the difficulties connected with each, and the criticisms that have been directed against it. Professor Copi seeks to make the subject accessible to the non-specialist and yet provide a sufficiently rigorous exposition for the serious student to see exactly what the theory is and how it works.

Logic in the Theory and Practice of Lawmaking

Author : Michał Araszkiewicz
Publisher : Springer
ISBN 13 : 3319195751
Total Pages : 556 pages
Book Rating : 4.3/5 (191 download)

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Book Synopsis Logic in the Theory and Practice of Lawmaking by : Michał Araszkiewicz

Download or read book Logic in the Theory and Practice of Lawmaking written by Michał Araszkiewicz and published by Springer. This book was released on 2015-10-05 with total page 556 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents the current state of the art regarding the application of logical tools to the problems of theory and practice of lawmaking. It shows how contemporary logic may be useful in the analysis of legislation, legislative drafting and legal reasoning concerning different contexts of law making. Elaborations of the process of law making have variously emphasised its political, social or economic aspects. Yet despite strong interest in logical analyses of law, questions remains about the role of logical tools in law making. This volume attempts to bridge that gap, or at least to narrow it, drawing together some important research problems—and some possible solutions—as seen through the work of leading contemporary academics. The volume encompasses 20 chapters written by authors from 16 countries and it presents diversified views on the understanding of logic (from strict mathematical approaches to the informal, argumentative ones) and differentiated choices concerning the aspects of law making taken into account. The book presents a broad set of perspectives, insights and results into the emerging field of research devoted to the logical analysis of the area of creation of law. How does logic inform lawmaking? Are legal systems consistent and complete? How can legal rules be represented by means of formal calculi and visualization techniques? Does the structure of statutes or of legal systems resemble the structure of deductive systems? What are the logical relations between the basic concepts of jurisprudence that constitute the system of law? How are theories of legal interpretation relevant to the process of legislation? How might the statutory text be analysed by means of contemporary computer programs? These and other questions, ranging from the theoretical to the immediately practical, are addressed in this definitive collection.

An Introduction to Proof Theory

Author : Paolo Mancosu
Publisher : Oxford University Press
ISBN 13 : 0192895931
Total Pages : 431 pages
Book Rating : 4.1/5 (928 download)

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Book Synopsis An Introduction to Proof Theory by : Paolo Mancosu

Download or read book An Introduction to Proof Theory written by Paolo Mancosu and published by Oxford University Press. This book was released on 2021 with total page 431 pages. Available in PDF, EPUB and Kindle. Book excerpt: An Introduction to Proof Theory provides an accessible introduction to the theory of proofs, with details of proofs worked out and examples and exercises to aid the reader's understanding. It also serves as a companion to reading the original pathbreaking articles by Gerhard Gentzen. The first half covers topics in structural proof theory, including the Gödel-Gentzen translation of classical into intuitionistic logic (and arithmetic), natural deduction and the normalization theorems (for both NJ and NK), the sequent calculus, including cut-elimination and mid-sequent theorems, and various applications of these results. The second half examines ordinal proof theory, specifically Gentzen's consistency proof for first-order Peano Arithmetic. The theory of ordinal notations and other elements of ordinal theory are developed from scratch, and no knowledge of set theory is presumed. The proof methods needed to establish proof-theoretic results, especially proof by induction, are introduced in stages throughout the text. Mancosu, Galvan, and Zach's introduction will provide a solid foundation for those looking to understand this central area of mathematical logic and the philosophy of mathematics.

Philosophy of Logic, 2nd Edition

Author : W. V. QUINE
Publisher : Harvard University Press
ISBN 13 : 0674042441
Total Pages : 122 pages
Book Rating : 4.6/5 (74 download)

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Book Synopsis Philosophy of Logic, 2nd Edition by : W. V. QUINE

Download or read book Philosophy of Logic, 2nd Edition written by W. V. QUINE and published by Harvard University Press. This book was released on 2009-06-30 with total page 122 pages. Available in PDF, EPUB and Kindle. Book excerpt: With his customary incisiveness, W. V. Quine presents logic as the product of two factors, truth and grammar--but argues against the doctrine that the logical truths are true because of grammar or language. Rather, in presenting a general theory of grammar and discussing the boundaries and possible extensions of logic, Quine argues that logic is not a mere matter of words.

Studies in Logical Theory

Author : John Dewey
Publisher :
ISBN 13 :
Total Pages : 410 pages
Book Rating : 4.A/5 ( download)

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Book Synopsis Studies in Logical Theory by : John Dewey

Download or read book Studies in Logical Theory written by John Dewey and published by . This book was released on 1903 with total page 410 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Introduction To The Theory Of Logic

Author : Jose L. Zalabardo
Publisher : Routledge
ISBN 13 : 0429968221
Total Pages : 344 pages
Book Rating : 4.4/5 (299 download)

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Book Synopsis Introduction To The Theory Of Logic by : Jose L. Zalabardo

Download or read book Introduction To The Theory Of Logic written by Jose L. Zalabardo and published by Routledge. This book was released on 2018-03-05 with total page 344 pages. Available in PDF, EPUB and Kindle. Book excerpt: "This strikes me as in many ways an excellent book...Zalabardo writes clearly and motivates the main ideas well... The number and variety of the excercises is a strength of the book. The instructor has room to choose excercises to suit the needs and abilities of the students"

Logic and General Theory of Science

Author : Edmund Husserl
Publisher : Springer Nature
ISBN 13 : 3030145298
Total Pages : 437 pages
Book Rating : 4.0/5 (31 download)

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Book Synopsis Logic and General Theory of Science by : Edmund Husserl

Download or read book Logic and General Theory of Science written by Edmund Husserl and published by Springer Nature. This book was released on 2019-10-01 with total page 437 pages. Available in PDF, EPUB and Kindle. Book excerpt: The stated subject of these lecture courses given by Husserlbetween 1910 and 1918is ‘reason, the word for the mental activities and accomplishments that govern knowledge, give it form and supply it with norms.’ They show their author still pursuing the course set out in the Logical Investigations up to the end of the second decade of the century and displaying utter consistency with stands that he began taking on meaning, analyticity, Platonism, manifolds, mathematics, psychologism, etc. in the 1890s. Thus, they undermine many idées reçues about the development of his thought. The centerpiece of this work is an exploration of the realm of meaning. Moreover, they add new dimensions to standard discussions by taking readers back to the place where phenomenology and analytic philosophy diverged. They show that Husserl tangled long and hard with the very ideas that went into the making of the latter and offer a wealth of interesting insights into sense and meaning, theory of judgment, complete and incomplete meanings, states of affairs, extensional logic, the relationship between logic and mathematics, functions and arguments, propositional functions, quantification, existential generalization, the word ‘all,’ number theory, sets, modality, deductive theory, ideas that are still under discussion today. Prepared for oral delivery in the classroom, they are refreshingly lively and spontaneous. They are clearer, more explicit, and readable than the books Husserl published during his lifetime.

Introduction to Logic and Theory of Knowledge

Author : Edmund Husserl
Publisher : Springer Science & Business Media
ISBN 13 : 1402067275
Total Pages : 500 pages
Book Rating : 4.4/5 (2 download)

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Book Synopsis Introduction to Logic and Theory of Knowledge by : Edmund Husserl

Download or read book Introduction to Logic and Theory of Knowledge written by Edmund Husserl and published by Springer Science & Business Media. This book was released on 2008-08-26 with total page 500 pages. Available in PDF, EPUB and Kindle. Book excerpt: Claire Ortiz Hill The publication of all but a small, unfound, part of the complete text of the lecture course on logic and theory of knowledge that Edmund Husserl gave at Göttingen during the winter semester of 1906/07 became a reality in 1984 with the publication of Einleitung in die Logik und Erkenntnistheorie, Vorlesungen 1906/07 edited by 1 Ullrich Melle. Published in that volume were also 27 appendices containing material selected to complement the content of the main text in significant ways. They provide valuable insight into the evolution of Husserl’s thought between the Logical Investigations and Ideas I and, therefore, into the origins of phenomenology. That text and all those appendices but one are translated and published in the present volume. Omitted are only the “Personal Notes” dated September 25, 1906, November 4, 1907, and March 6, 1908, which were translated by Dallas Willard and published in his translation of Husserl’s Early 2 Writings in the Philosophy of Logic and Mathematics. Introduction to Logic and Theory of Knowledge, Lectures 1906/07 provides valuable insight into the development of the ideas fun- mental to phenomenology. Besides shedding considerable light on the genesis of phenomenology, it sheds needed light on many other dimensions of Husserl’s thought that have puzzled and challenged scholars.

Philosophy of Logic (Routledge Revivals)

Author : Hilary Putnam
Publisher : Routledge
ISBN 13 : 1317832574
Total Pages : 48 pages
Book Rating : 4.3/5 (178 download)

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Book Synopsis Philosophy of Logic (Routledge Revivals) by : Hilary Putnam

Download or read book Philosophy of Logic (Routledge Revivals) written by Hilary Putnam and published by Routledge. This book was released on 2014-04-04 with total page 48 pages. Available in PDF, EPUB and Kindle. Book excerpt: First published in 1971, Professor Putnam's essay concerns itself with the ontological problem in the philosophy of logic and mathematics - that is, the issue of whether the abstract entities spoken of in logic and mathematics really exist. He also deals with the question of whether or not reference to these abstract entities is really indispensible in logic and whether it is necessary in physical science in general.