Trading Ontology for Ideology

Trading Ontology for Ideology

Author: L. Decock

Publisher: Springer Science & Business Media

Published: 2013-03-09

Total Pages: 316

ISBN-13: 9401735751

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Willard VanOrman Quine has probably been the most influential th American philosopher of the 20 century. His work spans over seven decades, and covers many domains in philosophy. He has made major contributions to the fields of logic and set theory, philosophy of logic and mathematics, philosophy of language, philosophy of science, epistemology and metaphysics. Quine's first work in philosophy was in the field of logic. His major contributions are the two set-theoretic systems NF (1936) and ML (1940). 1 These systems were alternatives to the type theory of Principia Mathematica or Zermelo's set theory, and are still being studied by 2 mathematicians. An indirect contribution to the field of logic is his strong resistance to moda110gic. Quine's objectIons to the notions of necessity and analyticity have influenced the development of moda110gic? Quine has had an enormous influence on philosophy of mathematics. When Quine entered philosophy there was a discussion on the foundations of mathematics between the schools of intuitionism, formalism, and conventionalism. Quine soon took issue with Carnap's conventionalism in "Truth by convention,,4 (1936). Quine has never joined one of the other schools, but has added new elements that are the basic ones of the 5 contemporary schools of nominalism, platonism, and structuralism. Quine has long been in the shadow of Benacerraf and Putnam in this field. At the moment there seems to be a renewed interest in Quine's work, and most philosophers explicitly refer to Quine's work.


A Boole Anthology

A Boole Anthology

Author: James Gasser

Publisher: Springer Science & Business Media

Published: 2013-11-11

Total Pages: 351

ISBN-13: 940159385X

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Modern mathematical logic would not exist without the analytical tools first developed by George Boole in The Mathematical Analysis of Logic and The Laws of Thought. The influence of the Boolean school on the development of logic, always recognised but long underestimated, has recently become a major research topic. This collection is the first anthology of works on Boole. It contains two works published in 1865, the year of Boole's death, but never reprinted, as well as several classic studies of recent decades and ten original contributions appearing here for the first time. From the programme of the English Algebraic School to Boole's use of operator methods, from the problem of interpretability to that of psychologism, a full range of issues is covered. The Boole Anthology is indispensable to Boole studies and will remain so for years to come.


Abductive Reasoning

Abductive Reasoning

Author: Atocha Aliseda

Publisher: Springer Science & Business Media

Published: 2006-02-16

Total Pages: 246

ISBN-13: 1402039077

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Abductive Reasoning: Logical Investigations into Discovery and Explanation is a much awaited original contribution to the study of abductive reasoning, providing logical foundations and a rich sample of pertinent applications. Divided into three parts on the conceptual framework, the logical foundations, and the applications, this monograph takes the reader for a comprehensive and erudite tour through the taxonomy of abductive reasoning, via the logical workings of abductive inference ending with applications pertinent to scientific explanation, empirical progress, pragmatism and belief revision.


Communication and Meaning

Communication and Meaning

Author: A.J Jones

Publisher: Springer Science & Business Media

Published: 2012-12-06

Total Pages: 178

ISBN-13: 9400970692

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This essay contains material which will hopefully be of interest not only to philosophers, but also to those social scientists whose research concerns the analysis of communication, verbal or non-verbal. Although most of the topics taken up here are central to issues in the philosophy of language, they are, in my opinion, indistinguishable from topics in descriptive social psychology. The essay aims to provide a conceptual framework within which various key aspects of communication can be described, and it presents a formal language, using techniques from modern modal logic, in which such descriptions can themselves be formulated. It is my hope that this framework, or parts of it, might also turn out to be of value in future empirical work. There are, therefore, essentially two sides to this essay: the development of a framework of concepts, and the construction of a formal language rich enough to express the elements of which that framework is composed. The first of these two takes its point of departure in the statement quoted from Lewis (1972) on the page preceding this introduction. The distinction drawn there by Lewis is accepted as a working hypothesis, and in one sense this essay may be seen as an attempt to explore some of the consequences of that hypothesis.


Reuniting the Antipodes - Constructive and Nonstandard Views of the Continuum

Reuniting the Antipodes - Constructive and Nonstandard Views of the Continuum

Author: Peter Schuster

Publisher: Springer Science & Business Media

Published: 2013-03-14

Total Pages: 330

ISBN-13: 940159757X

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At first glance, Robinson's original form of nonstandard analysis appears nonconstructive in essence, because it makes a rather unrestricted use of classical logic and set theory and, in particular, of the axiom of choice. Recent developments, however, have given rise to the hope that the distance between constructive and nonstandard mathematics is actually much smaller than it appears. So the time was ripe for the first meeting dedicated simultaneously to both ways of doing mathematics – and to the current and future reunion of these seeming opposites. Consisting of peer-reviewed research and survey articles written on the occasion of such an event, this volume offers views of the continuum from various standpoints. Including historical and philosophical issues, the topics of the contributions range from the foundations, the practice, and the applications of constructive and nonstandard mathematics, to the interplay of these areas and the development of a unified theory.


Attitudes and Changing Contexts

Attitudes and Changing Contexts

Author: Robert van Rooij

Publisher: Springer Science & Business Media

Published: 2006-03-30

Total Pages: 291

ISBN-13: 1402041772

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In this book, the author defends a unified externalists account of propositional attitudes and reference, and formalizes this view within possible world semantics. He establishes a link between philosophical analyses of intentionality and reference, and formal semantic theories of discourse representation and context change. The relation between belief change and the semantic analyses of conditional sentences and evidential (knowledge) and buletic (desire) propositional attitudes is discussed extensively.


(Over)Interpreting Wittgenstein

(Over)Interpreting Wittgenstein

Author: A. Biletzki

Publisher: Springer Science & Business Media

Published: 2012-09-14

Total Pages: 276

ISBN-13: 940070822X

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This book tells the story of Wittgenstein interpretation during the past eighty years. It provides different interpretations, chronologies, developments, and controversies. It aims to discover the motives and motivations behind the philosophical community's project of interpreting Wittgenstein. It will prove valuable to philosophers, scholars, interpreters, students, and specialists, in both analytic and continental philosophy.