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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.
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.
Argues that most words do not have multiple meanings and criticizes the assignment of additional meanings through overspecification
Although scientific models and simulations differ in numerous ways, they are similar in so far as they are posing essentially philosophical problems about the nature of representation. This collection is designed to bring together some of the best work on the nature of representation being done by both established senior philosophers of science and younger researchers. Most of the pieces, while appealing to existing traditions of scientific representation, explore new types of questions, such as: how understanding can be developed within computational science; how the format of representations matters for their use, be it for the purpose of research or education; how the concepts of emergence and supervenience can be further analyzed by taking into account computational science; or how the emphasis upon tractability--a particularly important issue in computational science--sheds new light on the philosophical analysis of scientific reasoning.
In the eyes of many, liberalism requires the aggressive secularization of social institutions, especially public media and public schools. The unfortunate result is that many Americans have become alienated from the liberal tradition because they believe it threatens their most sacred forms of life. This was not always the case: in American history, the relation between liberalism and religion has often been one of mutual respect and support. In Liberal Politics and Public Faith: Beyond Separation, Kevin Vallier attempts to reestablish mutual respect by developing a liberal political theory that avoids the standard liberal hostility to religious voices in public life. He claims that the dominant form of academic liberalism, public reason liberalism, is far friendlier to religious influences in public life than either its proponents or detractors suppose. The best interpretation of public reason, convergence liberalism, rejects the much-derided "privatization" of religious belief, instead viewing religious contributions to politics as a resource for liberal political institutions. Many books reject privatization, Liberal Politics and Public Faith: Beyond Separation is unique in doing so on liberal grounds.
Kazimierz Twardowski (20/10/1866, Vienna - 11/02/1938, Lvov) is most commonly known as the teacher of great philosophers and the founder of the Lvov-Warsaw School. As a philosopher however, he is primarily remembered for his famous comparison of the contents and objects of various kinds of representations, a comparison that remains enshrined in European thought. In fact, he attained important results in many other branches of philosophy as well. For instance, in (descriptive) ontology, he laid the foundations for the modern theory of formal structure of objects, and he introduced the theoretically fruitful pair of terms, action-product. In epistemology, he developed a profound analysis of the notion and criteria of truth; and he provided a forceful account of the errors underlying relativist theories of truth. In methodology, he drew an explicit distinction between the processes of discovering, systematising, and grounding in science, and he offered accurate descriptions of the nature of psychology and other humanities. In (philosophical) logic, he offered decisive arguments on behalf of the idiogenetic conception of judgement, and he improved the traditional typology of adjectives. These achievements are of significance that is not only historical. Kazimierz Twardowski's work, formulated in plain, precise language, are instructive and inspiring for contemporary students of philosophy.
The volume deals with ontological and semantical issues concerning things, facts and events. Ontology tells us about what there is, whereas semantics provides answers to how we refer to what there is. Basic ontological categories are commonly accepted along with basic linguistic types, and linguistic types are accepted as basic if and because they refer to acknowledged ontological categories. In that sense, both disciplines are concerned with structure - the structure of the world and the structure of our language. An extended introduction overviews the topic as a whole, presenting in detail its history and the main contemporary approaches and discussions. More than 20 contributions by internationally acknowledged scholars make the volume a comprehensive study of some very fundamental philosophical entities.