Outline of a Nominalist Theory of Propositions
Outline of a Nominalist Theory of Propositions

Author: Paul Gochet

Publisher: Springer Science & Business Media

Published: 2012-12-06

Total Pages: 222

ISBN-13: 9400989490

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1. IMPORTANCE OF THE SUBJECT In 1900, in A Critical Exposition of the Philosophy of Leihniz, Russell made the following assertion: "That all sound philosophy should begin with an analysis of propositions is a truth too evident, perhaps, to demand a proof". 1 Forty years later, the interest aroused by this notion had not decreased. C. J. Ducasse wrote in the Journal of Philosophy: "There is perhaps no question more basic for the theory of knowledge than that of the nature of 2 propositions and their relations to judgments, sentences, facts and inferences". Today, the great number of publications on the subject is proof that it is still of interest. One of the problems raised by propositions, the problem of deter mining whether propositions, statements or sentences are the primary bearers of truth and falsity, is even in the eyes of Bar-Hillel, "one of the major items that the future philosophy oflanguage will have to discuss". 3 gave a correct summary of the situation when he wrote in his Ph. Devaux Russell (1967): Since Peano and Schroder who, in fact, adhered more faithfully to Boole's logic of classes, the logical and epistemological status of the proposition together with its analysis have not ceased to be the object of productive philosophical controversies. And especially so since the establishment of contemporary symbolic logic, the foundations 4 of which have been laid out by Russell and Whitehead. * 2.

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.

Concept Formation in the Humanities and the Social Sciences
Concept Formation in the Humanities and the Social Sciences

Author: T. Pawlowski

Publisher: Springer Science & Business Media

Published: 2012-12-06

Total Pages: 238

ISBN-13: 9400990197

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Uniqueness of style versus plurality of styles: in terms of these aesthetic categories one of the most important differences between the recent past and the present can be described. This difference manifests itself in all spheres of life - in fashion, in everyday life, in the arts, in science. What is of interest for my purposes in this book are its manifestations in the processes of con cept formation as they occur in the humanities, broadly conceived. Here the following methodological approaches seem to dominate the scene. 1. A tendency to apply semiotic concepts in various fields of research. 2. Attempts to introduce metrical concepts and measurement, even into disciplines tra ditionally considered as unamenable to mathematical treatment, like aesthetics and theory of art. 3. Efforts to fmd ways of formulating empirically testable, operational criteria for the application of concepts, especially concepts which refer to objects directly not observable, like dispositions, attitudes, character or personality traits. Care is also taken to take advantage of the conceptual apparatus of methodology to express problems in the humanities with the highest possible degree of clarity and precision. 4. Analysis of the p~rsuasive function oflanguage and its possible uses in science and in everyday life. The above tendencies are present in this book. It is divided into two parts: I. Methods of Concept Formation, and II. Applications. In the first part some general methods of concept formation are presented and their merits discussed.

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.