Physical Theory as Logico-Operational Structure
Physical Theory as Logico-Operational Structure

Author: C.A. Hooker

Publisher: Springer Science & Business Media

Published: 2012-12-06

Total Pages: 348

ISBN-13: 9400997698

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In two earlier volumes, entitled The Logico-Algebraic Approach to Quan tum Mechanics (hereafter LAA I, II), I have presented collections of research papers which trace out the historical development and contem porary flowering of a particular approach to physical theory. One might characterise this approach as the extraction of an abstract logico-algebraic skeleton from each physical theory and the reconstruction of the physical theory as construction of mathematical and interpretive 'flesh' (e. g. , measures, operators, mappings etc. ) on this skeleton. The idea is to show how the specific features of a theory that are easily seen in application (e. g. , 'interference' among observables in quantum mechanics) arise out of the character of its core abstract structure. In this fashion both the deeper nature of a theory (e. g. , in what precise sense quantum mechanics is strongly statistical) and the deeper differences between theories (e. g. clas sical mechanics, though also a 'mechanics', is not strongly statistical) are penetratingly illuminated. What I would describe as the 'mainstream' logico-algebraic tradition is captured in these two collections of papers (LAA I, II). The abstract, structural approach to the characterisation of physical theory has been the basis of a striking transformation, in this century, in the understanding of theories in mathematical physics. There has emerged clearly the idea that physical theories are most significantly characterised by their abstract structural components.

Experiencing Nature
Experiencing Nature

Author: P. Theerman

Publisher: Springer Science & Business Media

Published: 1997-04-30

Total Pages: 336

ISBN-13: 9780792344773

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This volume, honoring the renowned historian of science, Allen G Debus, explores ideas of science - `experiences of nature' - from within a historiographical tradition that Debus has done much to define. As his work shows, the sciences do not develop exclusively as a result of a progressive and inexorable logic of discovery. A wide variety of extra-scientific factors, deriving from changing intellectual contexts and differing social millieus, play crucial roles in the overall development of scientific thought. These essays represent case studies in a broad range of scientific settings - from sixteenth-century astronomy and medicine, through nineteenth-century biology and mathematics, to the social sciences in the twentieth-century - that show the impact of both social settings and the cross-fertilization of ideas on the formation of science. Aimed at a general audience interested in the history of science, this book closes with Debus's personal perspective on the development of the field. Audience: This book will appeal especially to historians of science, of chemistry, and of medicine.

Knowledge and Reality
Knowledge and Reality

Author: P. Parrini

Publisher: Springer Science & Business Media

Published: 2013-11-11

Total Pages: 246

ISBN-13: 9401590400

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XIV The stability of a philosophical construction will depend not only upon the solidity of the blocks, of the pillars and architraves that make it up, but also upon the way in which all these parts are connected. Of course, it will not be possible to argue for every single part of a philosophical building: to do so would mean to embark in a virtually endless enterprise. Accordingly, some of the parts of a philosophical building will have to be taken from the literature on the subject as 'ready made' or 'semi-finished' elements, while others will be argued for in the course of building. This is what happened in my work too. In some cases (for in stance, in the case of epistemic relativism), my concern was to illustrate theses which I believed to be sufficiently consolidated, rather than to ar gue for them. In other cases - where I was directly engaged in building the theory that I want to fonnulate - I did exactly the opposite. This is what I have tried to achieve, for example, for those proper architraves of my construction, viz. the connection between scepticism and metaphysi cal realism. and the thesis of the nonnative value of the fundamental epistemological notions (truth, objectivity, and rationality).

Existence and Explanation
Existence and Explanation

Author: W. Spohn

Publisher: Springer Science & Business Media

Published: 2012-12-06

Total Pages: 247

ISBN-13: 9401132445

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This collection of essays is dedicated to 'Joe' Karel Lambert. The contributors are all personally affected to Joe in some way or other, but they are definitely not the only ones. Whatever excuses there are - there are some -, the editors apologize to whomever they have neglected. But even so the collection displays how influential Karel Lambert has been, personally and through his teaching and his writings. The display is in alphabetical order - with one exception: Bas van Fraassen, being about the earliest student of Karel Lambert, opens the collection with some reminiscences. Naturally, one of the focal points of this volume is Lambert's logical thinking and (or: freed of) ontological thinking. Free logic is intimately connected with description theory. Bas van Fraassen gives a survey of the development of the area, and Charles Daniels points to difficulties with definite descriptions in modal contexts and stories. Peter Woodruff addresses the relation between free logic and supervaluation semantics, presenting a novel condition which recovers desirable metatheoretic properties for free logic under that semantics. Terence Parsons shows how free logic can be utilized in interpreting sentences as purporting to denote events (true ones succeed and false ones fail) and how this helps to understand natural language.

The Art of the Intelligible
The Art of the Intelligible

Author: J. Bell

Publisher: Springer Science & Business Media

Published: 2012-12-06

Total Pages: 260

ISBN-13: 9401142092

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A compact survey, at the elementary level, of some of the most important concepts of mathematics. Attention is paid to their technical features, historical development and broader philosophical significance. Each of the various branches of mathematics is discussed separately, but their interdependence is emphasised throughout. Certain topics - such as Greek mathematics, abstract algebra, set theory, geometry and the philosophy of mathematics - are discussed in detail. Appendices outline from scratch the proofs of two of the most celebrated limitative results of mathematics: the insolubility of the problem of doubling the cube and trisecting an arbitrary angle, and the Gödel incompleteness theorems. Additional appendices contain brief accounts of smooth infinitesimal analysis - a new approach to the use of infinitesimals in the calculus - and of the philosophical thought of the great 20th century mathematician Hermann Weyl. Readership: Students and teachers of mathematics, science and philosophy. The greater part of the book can be read and enjoyed by anyone possessing a good high school mathematics background.

Music and Science in the Age of Galileo
Music and Science in the Age of Galileo

Author: V. Coelho

Publisher: Springer Science & Business Media

Published: 2013-03-09

Total Pages: 276

ISBN-13: 9401580049

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Music and Science in the Age of Galileo features twelve new essays by leading specialists in the fields of musicology, history of science, astronomy, philosophy, and instrument building that explore the relations between music and the scientific culture of Galileo's time. The essays take a broad historical approach towards understanding such topics as the role of music in Galileo's experiments and in the scientific revolution, the musical formation of scientists, Galileo's impact on the art and music of his time, the scientific knowledge of instrument builders, and the scientific experiments and cultural context of Galileo's father, Vincenzo Galilei. This volume opens up new areas in both musicology and the history of science, and twists together various strands of parallel work by musicians and scientists on Galileo and his time. This book will be of interest to musicologists, historians of science and those interested in interdisciplinary perspectives of the late Renaissance -- early Baroque. For its variety of approaches, it will be a valuable collection of readings for graduate students, and those seeking a more integrated approach to historical problems. The book will be of interest to historians of science, philosophers, musicologists, astronomers, and mathematicians.

Consciousness and Intentionality: Models and Modalities of Attribution
Consciousness and Intentionality: Models and Modalities of Attribution

Author: D. Fisette

Publisher: Springer Science & Business Media

Published: 2013-03-14

Total Pages: 366

ISBN-13: 9401591938

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Philosophy of mind has been one of the most active fields in philosophy for the past three decades. One of the most significant factors in the development of this discipline has been the emergence of cognitive science and the interest philosophers have taken in the empirical study of mind. Another equally important factor has been the "naturalistic tum" brought about by W. V. Quine. His proposal that normative epistemology be replaced by empirical psychology marked a radical departure from the Fregean "anti psychologism" and "apriorism" that had characterized much of the analytic tradition in philosophy. But while Quine's program of naturalization called the attention of philosophers to empirical psychology, his conception of psychology was inspired by an austere behaviorism which shunned the mentalism of intentional psychology in the Brentanian and phenomenological tradition. Thus, while agreeing with Brentano that the "intentional idiom" could not be reduced to that of the natural sciences, Quine argued that it is of a piece with the indeterminacy of translation. Most contributors of this col lection share the cognitivist stance and believe that the mind needs to be explained rather than eliminated. Three main questions are actually confronting current philosophers of mind, each addressed by one or another of the contributors to the present collection.

Kant and Contemporary Epistemology
Kant and Contemporary Epistemology

Author: P. Parrini

Publisher: Springer Science & Business Media

Published: 2012-12-06

Total Pages: 378

ISBN-13: 940110834X

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From the mid-1960s, after the important works by J. Hintikka, S. Körner, W. Sellars and P.F. Strawson, there has been a marked revival of Kantian epistemological thought. Against this background, featuring fruitful exchange between historical research and theoretical prospects, the main point of the book is the discussion of Kantian theory of scientific knowledge from the perspective of present-day analytical philosophy and philosophy of empirical and mathematical sciences. The main topics are the problem of a priori knowledge in logic, mathematics and physics, the distinction between analytic and synthetic judgments, the constitution of physical objectivity and the questions of realism and truth, the Kantian conception of time, causal laws and induction, the relations between Kantian epistemological thought, relativity theory, quantum theory and some recent developments of philosophy of science. The book is addressed to research workers, specialists and scholars in the fields of epistemology, philosophy of science and history of philosophy.

Knowledge, Cause, and Abstract Objects
Knowledge, Cause, and Abstract Objects

Author: C. Cheyne

Publisher: Springer Science & Business Media

Published: 2013-03-14

Total Pages: 254

ISBN-13: 9401597472

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According to platonists, entities such as numbers, sets, propositions and properties are abstract objects. But abstract objects lack causal powers and a location in space and time, so how could we ever come to know of the existence of such impotent and remote objects? In Knowledge, Cause, and Abstract Objects, Colin Cheyne presents the first systematic and detailed account of this epistemological objection to the platonist doctrine that abstract objects exist and can be known. Since mathematics has such a central role in the acquisition of scientific knowledge, he concentrates on mathematical platonism. He also concentrates on our knowledge of what exists, and argues for a causal constraint on such existential knowledge. Finally, he exposes the weaknesses of recent attempts by platonists to account for our supposed platonic knowledge. This book will be of particular interest to researchers and advanced students of epistemology and of the philosophy of mathematics and science. It will also be of interest to all philosophers with a general interest in metaphysics and ontology.

Euclid's Heritage. Is Space Three-Dimensional?
Euclid's Heritage. Is Space Three-Dimensional?

Author: P. Janich

Publisher: Springer Science & Business Media

Published: 1992-11-30

Total Pages: 250

ISBN-13: 9780792320258

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The three spatial characteristics of length, height and depth are used in the same unreflective way by laymen, technicians and scientists alike to describe the forms, positions and measure of bodies and hollow bodies. But how do we know that the space we live in has just these three dimensions? The question has occupied philosophers and scientists since antiquity. The answers proposed have become ever more presumptuous and have increasingly lost sight of everyday intuitions and have sacrificed explanatory power. In Euclid's Heritage Janich shows that all explanations of three-dimensionality hinge on an unreflective geometrical language which seems to accept the lack of an alternative for the three sorts of entities -- points, lines and planes -- that bound the three extended entities -- lines, planes and solids. This is a Euclidean heritage in a dual sense: Euclid himself adopted a geometrical language from the art of figure drawing, and left a tradition of doing geometry as planimetry and of doing stereometry by rotating plane figures. The systematic approach offered here starts out from operational definitions of the spatial forms -- plane, straight edge and perpendicularity -- and proofs that only three planes can intersect pairwise orthogonally. This is the constructive solution in the frame theory of action, providing an unequivocal characterisation of spatial relations in the physical world. The traditional order of geometric concepts turns out to be the most important obstacle to the methodical ordering of everyday scientific concepts.