Here is presented for the first time a comprehensive review and analysis of the several roles played by idealization procedures in the logic, mathematics and models that lie at the heart of modern, twentieth century physics. It is only through idealization of one form or another that the objects and processes of modern physics become tractable. The essays in this volume will be of interest to all those who are concerned with the uses of models in physics, and the relationships between models and the real world. The essays in this volume cover the role of idealization in all the main areas of modern physics, ranging from quantum theory, relativity theory and cosmology to chaos theory.
Discussions about abstraction are so important and so profound that this topic can hardly be neglected. It has inevitably cropped up again in various periods of philosophical enquiry. Despite these ancient roots and after the great debate that characterised the empirical and rationalistic tradition, interest in the problem has unfortunately been absent in large measure from the mainstream of mathematical logic and analytic philosophy. It seems that there is a gap between the epistemological theorization, in which it is difficult to find new insights on the problem of abstraction, and the historical studies concerning the development of philosophical thought. Such studies, however, present a more fertile ground for such insights. Here the reader will find presented for the first time a collection of papers about the topic, considered from an historical point of view together with an awareness of the need for building a bridge between historical research and theoretical speculation. Accordingly the volume consists of both general overviews which sketch the signifcance and the fortunes of abstraction in science, philosophy and logic (the first part) and historical case studies which focus on abstraction in particular thinkers (the second part). This volume is of interest for both general philosophers and historians of philosophy.
Contents: Preface. - Introduction. - Science as a caricature of reality. - Three methodological revolutions. - The method of idealization. - Explanations and applications. - Truth and idealization. - A generalization of idealization. - References.
Systematically presented to enhance the feasibility of fuzzy models, this book introduces the novel concept of a fuzzy network whose nodes are rule bases and their interconnections are interactions between rule bases in the form of outputs fed as inputs.
Models and theories are of central importance in science, and scientists spend substantial amounts of time building, testing, comparing and revising models and theories. It is therefore not surprising that the nature of scientific models and theories has been a widely debated topic within the philosophy of science for many years. The product of two decades of research, this book provides an accessible yet critical introduction to the debates about models and theories within analytical philosophy of science since the 1920s. Roman Frigg surveys and discusses key topics and questions, including: What are theories? What are models? And how do models and theories relate to each other? The linguistic view of theories (also known as the syntactic view of theories), covering different articulations of the view, its use of models, the theory-observation divide and the theory-ladenness of observation, and the meaning of theoretical terms. The model-theoretical view of theories (also known as the semantic view of theories), covering its analysis of the model-world relationship, the internal structure of a theory, and the ontology of models. Scientific representation, discussing analogy, idealisation and different accounts of representation. Modelling in scientific practice, examining how models relate to theories and what models are, classifying different kinds of models, and investigating how robustness analysis, perspectivism, and approaches committed to uncertainty-management deal with multi-model situations. Models and Theories is the first comprehensive book-length treatment of the topic, making it essential reading for advanced undergraduates, researchers, and professional philosophers working in philosophy of science and philosophy of technology. It will also be of interest to philosophically minded readers working in physics, computer sciences and STEM fields more broadly.
From the contents: Charles MORGAN: Canonical models and probabilistic semantics. - Francois LEPAGE: A many-valued probabilistic logic. - Piers RAWLING: The exchange paradox, finite additivity, and the principle of dominance. - Susan VINEBERG: The logical status of conditionalization and its role in confirmation. - Deborah MAYO: Science, error statistics, and arguing from error. - Mark N. LANCE: The best is the enemy of the good: Bayesian epistemology as a case study in unhelpful idealization. - Robert B. GARDNER & Michael C. WOOTEN: An application of Bayes' theorem to population genetics. - Peter D. JOHNSON, Jr.: Another look at group selection."
The volume is a collection of essays about prominent Polish 20th century philosophers of science and scientists who were concerned with problems in the philosophy of science. The contribution made by Polish logicians, especially those from the Lvov-Warsaw School, like Łukasiewicz, Kotarbiński, Czeżowski or Ajdukiewicz, is already well known. One of the aims of the volume is to offer a broader perspective. The papers collected here are devoted to the work of such philosophers as Zawirski, Metallmann, Dąmbska, Mehlberg, Szaniawski and Giedymin as well as to the work of such scientists as Smoluchowski, Fleck, Infeld and Chyliński. The introduction to the volume, written by the editor and Jacek Jadacki, presents an overview of the history of the Polish philosophy of science from the foundation of the Cracow Academy (in 1364) to the present.
From the contents: Naturalistic epistemology, murder and suicide? But what about the promises! (Ton Derksen). - Naturalism and rationality (Christopher Hookway). - Quine's hypothetical theory of language learning: a comparison of different conceptualschemes of their logic (Mia Gosselin). - Quine and innate similarity spaces (Jaap van Brakel). - Quine and Davidson on the structure of empirical knowledge (Dirk Koppelberg). - Empathy and charity (Eva Picardi). - Quine: indeterminacy, 'robust realism', and truth (Sandra Laugier). - Quine and Putnam on conceptual relativity and reference: theft or honest toil? (Roger Vergauwen).
Preliminary Material -- PREFACE -- IDEALIZATION AND CONCRETIZATION IN THE NATURAL SCIENCES -- PLATO'S PHILOSOPHY AND THE ESSENCE OF THE SCIENTIFIC METHOD -- THE IDEALIZATIONAL THEORY OF SCIENCE AND PHYSICS OF THE MICROWORLD -- THE IDEALIZATIONAL CONCEPTION OF SCIENCE AND THE STRUCTURE OF THE LAW OF UNIVERSAL GRAVITATION -- ON KINDS OF KNOWLEDGE -- SCIENTIFIC AND EVERYDAY KNOWLEDGE -- UNIVERSALITY OF SCIENTIFIC LAWS -- THE ROLE OF THEORY IN PHYSICAL SCIENCES -- THE LEIBNIZ-EINSTEIN PRINCIPLE OF THE MINIMIZATION OF PREMISES -- ON KINDS OF INTERPRETATION PROCEDURES IN SCIENCE -- THE PROBLEM OF THE RATIONALITY OF SCIENCE -- PRINCIPLES AND KINDS OF SCIENTIFIC RATIONALITY -- THE RATIONALITY OF SCIENCE AND LIMITATIONS OF SCIENTIFIC METHODS -- WHAT HAS CHANGED IN THE PHILOSOPHICAL VIEW OF SCIENCE? -- TYPES OF DETERMINATION VS. THE DEVELOPMENT OF SCIENCE IN HISTORICAL EPISTEMOLOGY -- RELATION OF CORRESPONDENCE AND LOGICAL CONSEQUENCE -- EXPERIMENT AND SCIENCE -- HEGEL'S HISTORICISM AND CONTEMPORARY CONCEPTIONS OF THE DEVELOPMENT OF SCIENCE -- ARE THERE DEFINITIVELY FALSIFYING PROCEDURES IN SCIENCE? -- ON THE SO-CALLED COMPLEMENTARY EXPERIMENTS. THE EXAMPLE OF FIZEAU'S AND MICHELSON'S EXPERIMENTS -- TESTABILITY OF KNOWLEDGE AT VARIOUS LEVELS OF ITS DEVELOPMENT -- ATOMISTIC EMPIRICISM OR HOLISTIC EMPIRICISM? -- THE NOTION OF AN AD HOC HYPOTHESIS -- ON THE PECULIARITY OF PHYSICS AND ITS DIVISIONS -- MODELS OF RATIONALITY IN PHYSICS -- TRANSCENDENTAL PHILOSOPHY AND PHYSICS OF THE MICROWORLD -- THE UNIVERSALITY OF SCIENTIFIC LAWS AND THE EVOLUTION OF THE UNIVERSE -- ASPECTS OF THE PROBLEM OF THE SPATIOTEMPORAL INFINITY OF THE WORLD -- THE PECULIAR STATUS OF COSMOLOGY AS A SCIENCE -- THE ORIGIN OF THE UNIVERSE AND CONTEMPORARY COSMOLOGY AND PHILOSOPHY -- NEWTON'S FIELDS OF STUDY AND METHODOLOGICAL PRINCIPLES -- HEGEL AND CONTEMPORARY NATURAL SCIENCES -- UNITY OR VARIETY OF NATURE? -- THE PLACE OF PROCESSES IN THE STRUCTURE OF REALITY -- SCIENCE AND TECHNOLOGY AND THE CURRENT TRENDS IN THE DEVELOPMENT OF CULTURE -- HEGEL'S CATEGORY OF TOTALITY AND HIS CONCEPT OF STATE -- THE BEING OF BEINGS IN HEIDEGGER'S SEIN UND ZEIT -- REFERENCES -- POZNAŃ STUDIES IN THE PHILOSOPHY OF THE SCIENCES AND THE HUMANITIES.
