Philosophy of Mathematics

First published in 1974. Despite the tendency of contemporary analytic philosophy to put logic and mathematics at a central position, the author argues it failed to appreciate or account for their rich content. Through discussions of such mathematical concepts as number, the continuum, set, proof an..

A thorough account of the philosophy of mathematics. In a cogent account the author argues against the view that mathematics is solely logic...

What is philosophically relevant about the nature of logico-mathematical knowledge in recent research in psychology and cognitive science? The essays in this collection tackle this important philosophical query from the perspective of cognitive psychology and neuroscience...

First published in 1990, this book consists of a detailed exposition of results of the theory of "interpretation" developed by G. Kreisel — the relative impenetrability of which gives the elucidation contained here great value for anyone seeking to understand his work...

First published in 1990, this book consists of a detailed exposition of results of the theory of "interpretation" developed by G. Kreisel — the relative impenetrability of which gives the elucidation contained here great value for anyone seeking to understand his work...

First published in 1990, this book consists of a detailed exposition of results of the theory of "interpretation" developed by G. Kreisel — the relative impenetrability of which gives the elucidation contained here great value for anyone seeking to understand his work...

Paradoxes of the Infinite presents one of the most insightful, yet strangely unacknowledged, mathematical treatises of the 19th century: Dr Bernard Bolzano’s Paradoxien. This volume contains an adept translation of the work itself by Donald A. Steele S.J., and in addition an historical introduction ..

Paradoxes of the Infinite presents one of the most insightful, yet strangely unacknowledged, mathematical treatises of the 19th century: Dr Bernard Bolzano’s Paradoxien. This volume contains an adept translation of the work itself by Donald A. Steele S.J., and in addition an historical introduction ..

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 th..

Distinguished contributors tackle the main problem that arizes when considering an epistemology for mathematics, the nature and sources of mathematical justification...

This volume shows Russell in transition from a neo-Kantian and neo-Hegelian philosopher to an analytic philosopher of the first rank. It contains three articles which have never previously been published in English...