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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 non-standard 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...

This study addresses a central theme in current philosophy: Platonism vs Naturalism and provides accounts of both approaches to mathematics, crucially discussing Quine, Maddy, Kitcher, Lakoff, Colyvan, and many others. Beginning with accounts of both approaches, Brown defends Platonism by arguing that only a Platonistic approach can account for concept acquisition in a number of special cases in the sciences. He also argues for a particular view of applied mathematics, a view that supports Platonism against Naturalist alternatives. Not only does this engaging book present the...

What if something as seemingly academic as the so-called science wars were to determine how we live?

This eye-opening book reveals how little we've understood about the ongoing pitched battles between the sciences and the humanities--and how much may be at stake. James Brown's starting point is C. P. Snow's famous book, Two Cultures and the Scientific Revolution, which set the terms for the current debates. But that little book did much more than identify two new, opposing cultures, Brown contends: It also claimed that scientists are better qualified than nonscientists to...

All the great philosophers from Plato and Aristotleto the present day have been philosophers of science. However, this bookconcentrates on modern philosophy of science, starting in the nineteenthcentury and offering coverage of all the leading thinkers in the fieldincluding Whewell, Mill, Reichenbach, Carnap, Popper, Feyerabend, Putnam, van Fraassen, Bloor, Latour, Hacking, Cartwright and many more. Crucially the book demonstrates howthe ideas and arguments of these key thinkers have contributed to ourunderstanding of such central issues as experience and necessity, conventionalism,...

To paraphrase Marx, sociologists have only interpreted science; the point is to improve it. "The Rational and the Social" attempts both. It begins by sketching recent sociological approaches to science, notably the strong programme Bloor s science of science and Barnes s finitism and that of the anthropologists in the lab, Collins and Latour and Woolgar. The author argues that although sociological accounts are valuable in many respects, when morals are drawn about the structure and epistemology of science, they are badly flawed. In rejecting the sociological theory of science, it is not...

Newton's bucket, Einstein's elevator, Schrodinger's cat - these are some of the best-known examples of thought experiments in the natural sciences. But what function do these experiments perform? Are they really experiments at all? Can they help us gain a greater understanding of the natural world? How is it possible that we can learn new things just by thinking?

In this revised and updated new edition of his classic text The Laboratory of the Mind, James Robert Brown continues to defend apriorism in the physical world. This edition features two new chapters, one on...