The twentieth century has witnessed an unprecedented 'crisis in the foundations of mathematics', featuring a world-famous paradox (Russell's Paradox), a challenge to 'classical' mathematics from a world-famous mathematician (the 'mathematical intuitionism' of Brouwer), a new foundational school (Hilbert's Formalism), and the profound incompleteness results of Kurt Godel. In the...(展开全部)

The twentieth century has witnessed an unprecedented 'crisis in the foundations of mathematics', featuring a world-famous paradox (Russell's Paradox), a challenge to 'classical' mathematics from a world-famous mathematician (the 'mathematical intuitionism' of Brouwer), a new foundational school (Hilbert's Formalism), and the profound incompleteness results of Kurt Godel. In the...(展开全部)

Oystein Linnebo is professor of philosophy at the University of Oslo, and previously held positions in Bristol, London, and Oxford. He is the coeditor of New Waves in the Philosophy of Mathematics and the author of Thin Objects: An Abstractionist Approach (forthcoming).

One of the most striking features of mathematics is the fact that we are much more certain about the mathematical knowledge we have than about what mathematical knowledge is knowledge of. Are numbers, sets, functions and groups physical entities of some kind? Are they objectively existing objects in some non-physical, mathematical realm? Are they ideas that are present only in ...(展开全部)

The Philosophy of Science Reader is a comprehensive anthology that draws together leading philosophers writing on the major themes in the philosophy of science. Alex Rosenburg and Yuri Balashov have carefully chosen articles in chapters under the headings: Science and Philosophy, Explanation, Causation and Laws, Scientific Theories and Conceptual Change, Scientific Realism, Tes...(展开全部)

This unique text by Stewart Shapiro looks at a range of philosophical issues and positions concerning mathematics in four comprehensive sections. The first describes questions and issues about mathematics that have motivated philosophers almost since the beginning of intellectual history. Part II is an historical survey, discussing the role of mathematics in such thinkers as P...(展开全部)

A panoramic survey of the vast spectrum of modern and contemporary mathematics and the new philosophical possibilities they suggest, this book gives the inquisitive non-specialist an insight into the conceptual transformations and intellectual orientations of modern and contemporary mathematics. The predominant analytic approach, with its focus on the formal, the elementary and...(展开全部)

Throughout the history of ideas, various branches of philosophy have spun off into the natural sciences, including physics, biology, and perhaps most recently, cognitive psychology. A central theme of this collection is that the philosophy of language, at least a core portion of it, has matured to the point where it is now being spun off into linguistic theory. Each section of ...(展开全部)

Philosophy of Mind: Classical and Contemporary Readings is an ideal text for introductory, advanced undergraduate, and graduate courses in the philosophy of mind and related areas. The most comprehensive collection of its kind, this volume ranges from the classical contributions of Descartes to the leading edge of the discipline. Three of the selections are being published here...(展开全部)

Philosophy of Mind: Classical and Contemporary Readings, Second Edition, is a grand tour of writings on the nature of the mind. This comprehensive collection has 79 selections that range from the classical contributions of Descartes and Avicenna to the leading edge of contemporary debates. Seven major sections cover foundational issues, consciousness, content, perception, self-...(展开全部)