Logical Writings

Logical Writings PDF

Author: J. Herbrand

Publisher: Springer Science & Business Media

Published: 1971-12-31

Total Pages: 334

ISBN-13: 9789027701763

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In 1968 Jean van Heijenoort published an edition of Herbrand's collected logic papers (Herbrand 1968). The core of the present volume comprises translations of these papers and of the biographical notes also appearing in that edition. With two exceptions, this is their first appearance in English; the exceptions are Chap. 5 of Herbrand's thesis and Herbrand 1931c, both of which appeared in van Heijenoort 1967, the former trans lated by Burton Dreben and van Heijenoort, and the latter by van Heijenoort. These two translations have been reprinted here, thanks to the permission ofthe Harvard University Press, with only minor changes. The remainder of the present translations are my own; I am grateful to van Heijenoort for providing an English draft of 1931, which forms the basis of the translation appearing here. In these translations, the bibliographical references have been stan dardized (see p. 299 below) and the notation has been changed so that it is fairly uniform throughout (any differences from Herbrand's original notation are mentioned in footnotes). Herbrand's technical terminology is not always translated literally; the principal instances of this are 'reduite', translated 'expansion' (except in 1930, Chap. 3, § 3, where it is translated 'relativization'), 'champ', translated 'domain', and 'symbole de variable apparente', translated 'quantifier'. In other cases of this sort, the French terms appear in double brackets immediately following the English renderings.

Early Writings in the Philosophy of Logic and Mathematics

Early Writings in the Philosophy of Logic and Mathematics PDF

Author: Edmund Husserl

Publisher: Springer

Published: 1993-12-31

Total Pages: 505

ISBN-13: 0792322622

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The primary intent of this volume is to give the English reader access to all the philosophical texts published by Husserl between the appearance of his first book, Philosophie der Arithmetik, and that of his second book, Logische Untersuchungen- roughly, from 1890 through 1901. Along with these texts we have included a number of unpublished manuscripts from the same period and dealing with the same or closely related topics. A few of the texts here translated (the review of Pahigyi, the five "report" articles of 1903-1904, the "notes" in Lalande's Vocabulaire, and the brief discussion. article on Marty of 1910) obviously fall outside this time period, so far as their publication dates are concerned; but in content they seem clearly confined to it. The final piece translated, a set of personal notes that date from 1906 through 1908, provides insight into how Husserl experienced his early labors and their results, and into how he saw their relation to work before him: a phenomenological critique of reason in all of its forms. Thus the texts here translated - which obviously are to be read in conjunction with his first two books - cover the progression of Husserl's Problematik from the relatively narrow one of clarifying the epistemic structure of general arithmetic, to the all-encompassing one of establishing in principle, through phenomenological research, the line between legitimate and illegitimate claims to know or to be rational, regardless of the domain concerned.

The Logical Writings of Karl Popper

The Logical Writings of Karl Popper PDF

Author: David Binder

Publisher: Springer Nature

Published: 2022-08-07

Total Pages: 552

ISBN-13: 3030949265

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This open access book is the first ever collection of Karl Popper's writings on deductive logic. Karl R. Popper (1902-1994) was one of the most influential philosophers of the 20th century. His philosophy of science ("falsificationism") and his social and political philosophy ("open society") have been widely discussed way beyond academic philosophy. What is not so well known is that Popper also produced a considerable work on the foundations of deductive logic, most of it published at the end of the 1940s as articles at scattered places. This little-known work deserves to be known better, as it is highly significant for modern proof-theoretic semantics. This collection assembles Popper's published writings on deductive logic in a single volume, together with all reviews of these papers. It also contains a large amount of unpublished material from the Popper Archives, including Popper's correspondence related to deductive logic and manuscripts that were (almost) finished, but did not reach the publication stage. All of these items are critically edited with additional comments by the editors. A general introduction puts Popper's work into the context of current discussions on the foundations of logic. This book should be of interest to logicians, philosophers, and anybody concerned with Popper's work.

Logic and Sin in the Writings of Ludwig Wittgenstein

Logic and Sin in the Writings of Ludwig Wittgenstein PDF

Author: Philip R. Shields

Publisher: University of Chicago Press

Published: 1998-02-28

Total Pages: 164

ISBN-13: 9780226753027

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Demonstrates that ethical and religious concerns inform even the most technical writings on logic and language. This text also shows that, for Wittgenstein, the need to establish clear limitations is both a logical and an ethical demand, revealing a religious view of the world in his philosophy.

Studies in Logic and Probability

Studies in Logic and Probability PDF

Author: George Boole

Publisher: Courier Corporation

Published: 2012-01-01

Total Pages: 514

ISBN-13: 0486488268

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Authoritative account of the development of Boole's ideas in logic and probability theory ranges from The Mathematical Analysis of Logic to the end of his career. The Laws of Thought formed the most systematic statement of Boole's theories; this volume contains incomplete studies intended for a follow-up volume. 1952 edition.

Leibniz, Logical Papers

Leibniz, Logical Papers PDF

Author: Gottfried Wilhelm Leibniz

Publisher: Oxford University Press on Demand

Published: 1966

Total Pages: 148

ISBN-13: 9780198243069

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Translations of some of Leibniz's most important logical works. A long introduction provides explanatory comment and gives an estimate of Leibniz as a logician.

The Pyramid Principle

The Pyramid Principle PDF

Author: Barbara Minto

Publisher: Financial Times/Prentice Hall

Published: 2021

Total Pages: 0

ISBN-13: 9781292372266

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This book reveals that the mind automatically sorts information into distinctive pyramidal groupings. However, if any group of ideas are arranged into a pyramid structure in the first place, not only will it save valuable time and effort to write, it will take even less effort to read and comprehend it

Logical Reasoning

Logical Reasoning PDF

Author: Bradley Harris Dowden

Publisher: Bradley Dowden

Published: 1993

Total Pages: 516

ISBN-13: 9780534176884

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This book is designed to engage students' interest and promote their writing abilities while teaching them to think critically and creatively. Dowden takes an activist stance on critical thinking, asking students to create and revise arguments rather than simply recognizing and criticizing them. His book emphasizes inductive reasoning and the analysis of individual claims in the beginning, leaving deductive arguments for consideration later in the course.

Logical Writings

Logical Writings PDF

Author: J. Herbrand

Publisher: Springer

Published: 2011-11-08

Total Pages: 312

ISBN-13: 9789401030731

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In 1968 Jean van Heijenoort published an edition of Herbrand's collected logic papers (Herbrand 1968). The core of the present volume comprises translations of these papers and of the biographical notes also appearing in that edition. With two exceptions, this is their first appearance in English; the exceptions are Chap. 5 of Herbrand's thesis and Herbrand 1931c, both of which appeared in van Heijenoort 1967, the former trans lated by Burton Dreben and van Heijenoort, and the latter by van Heijenoort. These two translations have been reprinted here, thanks to the permission ofthe Harvard University Press, with only minor changes. The remainder of the present translations are my own; I am grateful to van Heijenoort for providing an English draft of 1931, which forms the basis of the translation appearing here. In these translations, the bibliographical references have been stan dardized (see p. 299 below) and the notation has been changed so that it is fairly uniform throughout (any differences from Herbrand's original notation are mentioned in footnotes). Herbrand's technical terminology is not always translated literally; the principal instances of this are 'reduite', translated 'expansion' (except in 1930, Chap. 3, § 3, where it is translated 'relativization'), 'champ', translated 'domain', and 'symbole de variable apparente', translated 'quantifier'. In other cases of this sort, the French terms appear in double brackets immediately following the English renderings.

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