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.

Nominalism and Contemporary Nominalism
Nominalism and Contemporary Nominalism

Author: M. Gosselin

Publisher: Springer Science & Business Media

Published: 2012-12-06

Total Pages: 269

ISBN-13: 9400921195

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Though the subject of this work, "nominalism and contemporary nom inalism", is philosophical, it cannot be fully treated without relating it to data gathered from a great variety of domains, such as biology and more especially ethology, psychology, linguistics and neurobiology. The source of inspiration has been an academic work I wrote in order to obtain a postdoctoral degree, which is called in Belgium an "Aggregaat voor het Hoger Onderwijs" comparable to a "Habilitation" in Germany. I want to thank the National Fund of Scientific Research, which accorded me several grants and thereby enabled me to write the academic work in the first place and thereafter this book. I also want to thank Prof. SJ. Doorman (Technical University of Delft) and Prof. G. Nuchelmans (University of Leiden), who were members of the jury of the "Aggre gaatsthesis", presented to the Free University of Brussels in 1981 and who by their criticisms and suggestions encouraged me to write the present book, the core of which is constituted by the general ideas then formulated. I am further obliged to Mr. X, the referee who was asked by Jaakko Hintikka to read my work and who made a series of constructive remarks and recom mendations. My colleague Marc De Mey (University of Ghent) helped me greatly with the more formal aspects of my work and spent too much of his valuable time and energy to enable me to deliver a presentable copy. All remaining shortcomings are entirely my responsibility. I asked Prof.

Logical Thinking in the Pyramidal Schema of Concepts: The Logical and Mathematical Elements
Logical Thinking in the Pyramidal Schema of Concepts: The Logical and Mathematical Elements

Author: Lutz Geldsetzer

Publisher: Springer Science & Business Media

Published: 2012-11-30

Total Pages: 176

ISBN-13: 9400753012

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This new volume on logic follows a recognizable format that deals in turn with the topics of mathematical logic, moving from concepts, via definitions and inferences, to theories and axioms. However, this fresh work offers a key innovation in its ‘pyramidal’ graph system for the logical formalization of all these items. The author has developed this new methodology on the basis of original research, traditional logical instruments such as Porphyrian trees, and modern concepts of classification, in which pyramids are the central organizing concept. The pyramidal schema enables both the content of concepts and the relations between the concept positions in the pyramid to be read off from the graph. Logical connectors are analyzed in terms of the direction in which they connect within the pyramid. Additionally, the author shows that logical connectors are of fundamentally different types: only one sort generates propositions with truth values, while the other yields conceptual expressions or complex concepts. On this basis, strong arguments are developed against adopting the non-discriminating connector definitions implicit in Wittgensteinian truth-value tables. Special consideration is given to mathematical connectors so as to illuminate the formation of concepts in the natural sciences. To show what the pyramidal method can contribute to science, a pyramid of the number concepts prevalent in mathematics is constructed. The book also counters the logical dogma of ‘false’ contradictory propositions and sheds new light on the logical characteristics of probable propositions, as well as on syllogistic and other inferences.

Probability Theory
Probability Theory

Author: Vincent F. Hendricks

Publisher: Springer Science & Business Media

Published: 2001-06-30

Total Pages: 222

ISBN-13: 9780792369523

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A collection of papers presented at the conference on Probability Theory - Philosophy, Recent History and Relations to Science, University of Roskilde, Denmark, September 16-18, 1998. Since the measure theoretical definition of probability was proposed by Kolmogorov, probability theory has developed into a mature mathematical theory. It is today a fruitful field of mathematics that has important applications in philosophy, science, engineering, and many other areas. The measure theoretical definition of probability and its axioms, however, are not without their problems; some of them even puzzled Kolmogorov. This book sheds light on some recent discussions of the problems in probability theory and their history, analysing their philosophical and mathematical significance, and the role pf mathematical probability theory in other sciences.

Theoretical Knowledge
Theoretical Knowledge

Author: Vi︠a︡cheslav Semenovich Stepin

Publisher: Springer Science & Business Media

Published: 2005-07-12

Total Pages: 440

ISBN-13: 9781402030451

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He shows direct and inverse links between foundations of science and new theories and empirical facts evolved from those, how among many potentially possible histories of science a culture selects just those directions which become a real history of science. The author analyses mechanisms of the generation of scientific theories and shows that those are changed in the process of historical development of science. He displays three historical types of scientific rationality (classical, non-classical and post-non-classical, which appears in modern science) and shows features of their coexistence and interplay. It is shown that along with the emerging of post-non-classical rationality science increases the sphere of its worldview applications. Science begins to correlate not only with the basic values of technogenic civilization but also with some values and patterns of traditional cultures.

Deviant Logic, Fuzzy Logic
Deviant Logic, Fuzzy Logic

Author: Susan Haack

Publisher: University of Chicago Press

Published: 1996-12-15

Total Pages: 324

ISBN-13: 9780226311333

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Initially proposed as rivals of classical logic, alternative logics have become increasingly important in areas such as computer science and artificial intelligence. Fuzzy logic, in particular, has motivated major technological developments in recent years. Susan Haack's Deviant Logic provided the first extended examination of the philosophical consequences of alternative logics. In this new volume, Haack includes the complete text of Deviant Logic, as well as five additional papers that expand and update it. Two of these essays critique fuzzy logic, while three augment Deviant Logic's treatment of deduction and logical truth. Haack also provides an extensive new foreword, brief introductions to the new essays, and an updated bibliography of recent work in these areas. Deviant Logic, Fuzzy Logic will be indispensable to students of philosophy, philosophy of science, linguistics, mathematics, and computer science, and will also prove invaluable to experienced scholars working in these fields.

Real Numbers, Generalizations of the Reals, and Theories of Continua
Real Numbers, Generalizations of the Reals, and Theories of Continua

Author: P. Ehrlich

Publisher: Springer Science & Business Media

Published: 2013-06-29

Total Pages: 313

ISBN-13: 9401582483

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Since their appearance in the late 19th century, the Cantor--Dedekind theory of real numbers and philosophy of the continuum have emerged as pillars of standard mathematical philosophy. On the other hand, this period also witnessed the emergence of a variety of alternative theories of real numbers and corresponding theories of continua, as well as non-Archimedean geometry, non-standard analysis, and a number of important generalizations of the system of real numbers, some of which have been described as arithmetic continua of one type or another. With the exception of E.W. Hobson's essay, which is concerned with the ideas of Cantor and Dedekind and their reception at the turn of the century, the papers in the present collection are either concerned with or are contributions to, the latter groups of studies. All the contributors are outstanding authorities in their respective fields, and the essays, which are directed to historians and philosophers of mathematics as well as to mathematicians who are concerned with the foundations of their subject, are preceded by a lengthy historical introduction.

Philosophical Perspectives for Pragmatics
Philosophical Perspectives for Pragmatics

Author: Marina Sbisà

Publisher: John Benjamins Publishing

Published: 2011-04-19

Total Pages: 336

ISBN-13: 9027289131

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The ten volumes of Handbook of Pragmatics Highlights focus on the most salient topics in the field of pragmatics, thus dividing its wide interdisciplinary spectrum in a transparent and manageable way. While the other volumes select specific cognitive, grammatical, social, cultural, variational, interactional, or discursive angles, this 10th volume focuses on the interface between pragmatics and philosophy and reviews the philosophical background from which pragmatics has taken inspiration and with which it is constantly confronted. It provides the reader with information about authors relevant to the development of pragmatics, trends or areas in philosophy that are relevant for the definition of the main concepts in pragmatics or the characterization of its cultural context, the neighbouring field of semantics (with particular respect to truth-conditional semantics and some main branches of formal semantics), and recent philosophical debates that involve pragmatic notions such as indexicality and context. While most of the references are to the analytic philosophical field, also perspectives in so-called continental philosophy are taken into account. The introductory chapter outlines some unifying routes of reflection as regards meaning, speech as action, and self and mind, and suggests some connections between doing pragmatics and doing philosophy.

Theory and Experiment
Theory and Experiment

Author: Diderik Batens

Publisher: Springer Science & Business Media

Published: 2012-12-06

Total Pages: 291

ISBN-13: 9400928750

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This is not "another collection of contributions on a traditional subject." Even more than we dared to expect during the preparatory stages, the papers in this volume prove that our thinking about science has taken a new turn and has reached a new stage. The progressive destruction of the received view has been a fascinating and healthy experience. At present, the period of destruction is over. A richer and more equilibrated analysis of a number of problems is possible and is being cru'ried out. In this sense, this book comes right on time. We owe a lot to the scholars of the Kuhnian period. They not only did away with obstacles, but in several respects instigated a shift in attention that changed history and philosophy of science in a irreversible way. A c1earcut example - we borrow it from the paper by Risto Hilpinen - concerns the study of science as a process, Rnd not only as a result. Moreover, they apparently reached several lasting results, e.g., concerning the tremendous impact of theoretical conceptions on empirical data. Apart from baffling people for several decades, this insight rules out an other return to simple-minded empiricism in the future.

Scientific Progress
Scientific Progress

Author: Craig Dilworth

Publisher: Springer Science & Business Media

Published: 2007-09-18

Total Pages: 322

ISBN-13: 1402063547

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Kuhn and Feyerabend formulated the problem, Dilworth provides the solution. In the fourth edition of this highly original book, Craig Dilworth answers the questions raised by the incommensurability thesis. Logical empiricism cannot account for theory conflict. Popperianism cannot account for how one theory is a progression beyond another. Dilworth’s Perspectivist conception of science covers both bases with a concept of scientific progress based on both rationalism and empiricism.