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Author: J. Herbrand
Publisher: Springer Science & Business Media
ISBN: 9789027701763
Category : Gardening
Languages : en
Pages : 334
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Book Description
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.
Author: J. Herbrand
Publisher: Springer Science & Business Media
ISBN: 9789027701763
Category : Gardening
Languages : en
Pages : 334
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Book Description
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.
Author: Edmund Husserl
Publisher: Springer
ISBN: 0792322622
Category : Philosophy
Languages : en
Pages : 505
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Book Description
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.
Author: David Binder
Publisher: Springer Nature
ISBN: 3030949265
Category : Philosophy
Languages : en
Pages : 552
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Book Description
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.
Author: Steven M. Cahn
Publisher: Routledge
ISBN: 0429975317
Category : Philosophy
Languages : en
Pages : 140
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Book Description
Thinking about Logic is an accessible and thought-provoking collection of classic articles in the philosophy of logic. An ideal companion to any formal logic course or textbook, this volume illuminates how logic relates to perennial philosophical issues about knowledge, meaning, rationality, and reality. The editors have selected each essay for its brevity, clarity, and impact and have included insightful introductions and discussion questions. The puzzles raised will help readers acquire a more thorough understanding of fundamental logic concepts and a firmer command of the connections between formal logic and other areas of philosophical study: epistemology, philosophy of language, philosophy of science, and metaphysics.
Author: Gottfried Wilhelm Leibniz
Publisher: Oxford University Press on Demand
ISBN: 9780198243069
Category : Language Arts & Disciplines
Languages : en
Pages : 148
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Book Description
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.
Author: Robert Hanna
Publisher: MIT Press
ISBN: 0262263114
Category : Philosophy
Languages : en
Pages : 341
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Book Description
An argument that logic is intrinsically psychological and human psychology is intrinsically logical, and that the connection between human rationality and logic is both constitutive and mutual. In Rationality and Logic, Robert Hanna argues that logic is intrinsically psychological and that human psychology is intrinsically logical. He claims that logic is cognitively constructed by rational animals (including humans) and that rational animals are essentially logical animals. In order to do so, he defends the broadly Kantian thesis that all (and only) rational animals possess an innate cognitive "logic faculty." Hanna's claims challenge the conventional philosophical wisdom that sees logic as a fully formal or "topic-neutral" science irreconcilably separate from the species- or individual-specific focus of empirical psychology.Logic and psychology went their separate ways after attacks by Frege and Husserl on logical psychologism—the explanatory reduction of logic to empirical psychology. Hanna argues, however, that—despite the fact that logical psychologism is false—there is an essential link between logic and psychology. Rational human animals constitute the basic class of cognizers or thinkers studied by cognitive psychology; given the connection between rationality and logic that Hanna claims, it follows that the nature of logic is significantly revealed to us by cognitive psychology. Hanna's proposed "logical cognitivism" has two important consequences: the recognition by logically oriented philosophers that psychologists are their colleagues in the metadiscipline of cognitive science; and radical changes in cognitive science itself. Cognitive science, Hanna argues, is not at bottom a natural science; it is both an objective or truth-oriented science and a normative human science, as is logic itself.
Author: J. Herbrand
Publisher: Springer
ISBN: 9789401030731
Category : Philosophy
Languages : en
Pages : 312
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Book Description
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.
Author: Patrick Suppes
Publisher: Courier Corporation
ISBN: 0486138054
Category : Mathematics
Languages : en
Pages : 340
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Book Description
Part I of this coherent, well-organized text deals with formal principles of inference and definition. Part II explores elementary intuitive set theory, with separate chapters on sets, relations, and functions. Ideal for undergraduates.
Author: Philip R. Shields
Publisher: University of Chicago Press
ISBN: 9780226753027
Category : Philosophy
Languages : en
Pages : 164
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Book Description
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.
Author: Jack Goody
Publisher: Cambridge University Press
ISBN: 9780521339629
Category : Language Arts & Disciplines
Languages : en
Pages : 236
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Book Description
Author is particularly concerned with ancient Near East and contemporary West Africa.
