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)

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)

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)

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)

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)

When mathematician Hermann Weyl decided to write a book on philosophy, he faced what he referred to as 'conflicts of conscience' - the objective nature of science, he felt, did not mesh easily with the incredulous, uncertain nature of philosophy. Yet the two disciplines were already intertwined. In "Philosophy of Mathematics and Natural Science", Weyl examines how advances in p...(展开全部)

This book offers an accessible and inclusive overview of the major debates in the philosophy of action. It covers the distinct approaches taken by Donald Davidson, G.E.M. Anscombe, and numerous others to answering questions like "what are intentional actions?" and "how do reasons explain actions?" Further topics include intention, practical knowledge, weakness and strength of w...(展开全部)

Philosophy of Economics: A Contemporary Introduction is the first systematic textbook in the philosophy of economics. It introduces the epistemological, metaphysical and ethical problems that arise in economics, and presents detailed discussions of the solutions that have been offered. Throughout, philosophical issues are illustrated by and analysed in the context of concrete c...(展开全部)