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"In his long-awaited new edition of Philosophy of Mathematics, James Robert Brown tackles important new as well as enduring questions in the mathematical sciences. Can pictures go beyond being merely suggestive and actually prove anything? Are mathematical results certain? Are experiments of any real value?" "This clear and engaging book takes a unique approach, encompassing nonstandard topics such as the role of visual reasoning, the importance of notation, and the place of computers in mathematics, as well as traditional topics such as formalism, Platonism, and constructivism. The combination of topics and clarity of presentation make it suitable for beginners and experts alike. The revised and updated second edition of Philosophy of Mathematics contains more examples, suggestions for further reading, and expanded material on several topics including a novel approach to the continuum hypothesis."--BOOK JACKET.

Philosophy of science --- Mathematics --- Philosophy. --- Logic of mathematics --- Mathematics, Logic of --- Philosophy

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Thought experiments are performed in the laboratory of the mind. Beyond this metaphor it is difficult to say just what these remarkable devices for investigating nature are or how they work. Though most scientists and philosophers would admit their great importance, there has been very little serious study of them. This volume is the first book-length investigation of thought experiments. Starting with Galileo's argument on falling bodies, Brown describes numerous examples of the most influential thought experiments from the history of science. Following this introduction to the subject, s

Knowledge, Theory of. --- Physics --- Quantum theory. --- Rationalism. --- Science --- Thought experiments. --- Philosophy. --- Methodology. --- Pure sciences. Natural sciences (general) --- Philosophy of science --- History of physics --- Quantum theory --- Rationalism --- Knowledge, Theory of --- Philosophy --- Methodology --- Thought experiments --- Experiments, Thought --- Quantum dynamics --- Quantum mechanics --- Quantum physics --- Epistemology --- Theory of knowledge --- Scientific method --- Religion --- Belief and doubt --- Deism --- Free thought --- Realism --- Mechanics --- Thermodynamics --- Psychology --- Logic, Symbolic and mathematical --- Physics - Philosophy --- Science - Methodology --- Connaissance, Théorie de la --- Rationalisme --- Théorie quantique --- Physique --- Sciences --- Philosophie --- Méthodologie

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Mathematics --- Philosophy. --- Mathématiques --- Philosophy --- Philosophie --- Philosophie. --- Mathematics - Philosophy. --- Mathématiques

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Realism is an enlightening story, a tale which enriches our experience and makes it more intelligible. Yet this wonderful picture of humanity's best efforts at knowledge has been badly bruised by numerous critics. James Robert Brown in Smoke and Mirrors fights back against figures such as Richard Rorty, Bruno Latour, Michael Ruse and Hilary Putnam who have attacked realist accounts of science. But this volume is not wholly devoted to combating Rorty and others who blow smoke in our eyes; the second half is concerned with arguing that there are some amazing ways in which science mirrors the world. The role of abstraction, abstract objects and a priori ways of getting at reality are all explored in showing how science reflects reality. Smoke and Mirrors is a defence of science and knowledge in general as well as a defence of a particular way of understanding science. It is of interest to all those who wish or need to know how science works.

Realism. --- Science --- Empiricism --- Philosophy --- Universals (Philosophy) --- Conceptualism --- Dualism --- Idealism --- Materialism --- Nominalism --- Positivism --- Rationalism --- Normal science --- Philosophy of science --- Philosophy. --- Pallavi Aiyar --- Travel --- China --- Description and travel. --- Aiyar, Pallavi --- Description and travel

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Pure sciences. Natural sciences (general)