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#### Harvey Friedman's Research on the Foundations of Mathematics

Elsevier Science 1985; US$ 72.95This volume discusses various aspects of Harvey Friedman's research in the foundations of mathematics over the past fifteen years. It should appeal to a wide audience of mathematicians, computer scientists, and mathematically oriented philosophers. more...

#### From Kant to Hilbert Volume 1

OUP Oxford 2005; US$ 99.99This two-volume work brings together a comprehensive selection of mathematical works from the period 1707-1930. During this time the foundations of modern mathematics were laid, and From Kant to Hilbert provides an overview of the foundational work in each of the main branches of mathmeatics with narratives showing how they were linked. Now available... more...

#### A Structural Account of Mathematics

Clarendon Press 2003; US$ 62.99Charles Chihara's new book develops a structural view of the nature of mathematics, and uses it to explain a number of striking features of mathematics that have puzzled philosophers for centuries. In particular, this perspective allows Chihara to show that, in order to understand how mathematical systems are applied in science, it is not necessary... more...

#### The Limits of Abstraction

Clarendon Press 2002; US$ 37.99Kit Fine develops a Fregean theory of abstraction, and suggests that it may yield a new philosophical foundation for mathematics, one that can account for both our reference to various mathematical objects and our knowledge of various mathematical truths. The Limits of Abstraction breaks new ground both technically and philosophically, and will be... more...

#### Wittgenstein, Finitism, and the Foundations of Mathematics

OUP Oxford 1998; US$ 47.99Mathieu Marion traces the development of Wittgenstein's thinking from the 1920s through to the 1950s, in the context of the mathematical and philosophical work of the time, making sense of ideas that have often been misunderstood. He shows that study of Wittgenstein's writings on mathematics is essential to a proper understanding of his philosophy. more...

#### Philosophie der Mathematik

De Gruyter 2010; US$ 140.00Dieses Werk gibt eine überwiegend elementare Einführung in philosophische Probleme und Hintergründe des mathematischen Denkens und Sprechens, Lehrens und Lernens. Sie wendet sich an Lehrende und Studierende der Mathematik und der Philosophie. Ausgangspunkt und immer wieder Bezugspunkt sind die reellen Zahlen. In pointierter Weise werden... more...

#### Essays on the Foundations of Mathematics by Moritz Pasch

Springer Netherlands 2010; US$ 153.65Moritz Pasch is justly celebrated as a key figure in the history of axiomatic geometry. Less well known are his contributions to other areas of foundational research. This volume features English translations of 14 papers he published between 1917-1926. more...

#### Berkeley's Philosophy of Mathematics

University of Chicago Press 2010; US$ 37.00In this first modern, critical assessment of the place of mathematics in Berkeley's philosophy and Berkeley's place in the history of mathematics, Douglas M. Jesseph provides a bold reinterpretation of Berkeley's work. Jesseph challenges the prevailing view that Berkeley's mathematical writings are peripheral to his philosophy and argues that mathematics... more...

#### Foundational Theories of Classical and Constructive Mathematics

Springer Netherlands 2011; US$ 165.47Focusing on the foundations, this volume explores both classical and constructive mathematics. Its great advantage is to extend the traditional discussion of the foundations of mathematics and to render it at the same time both subtle and more differentiated. more...

#### The Best Writing on Mathematics 2011

Princeton University Press 2011; US$ 19.95 US$ 18.15This anthology brings together the year's finest mathematics writing from around the world. Featuring promising new voices alongside some of the foremost names in the field, The Best Writing on Mathematics 2011 makes available to a wide audience many articles not easily found anywhere else--and you don't need to be a mathematician to enjoy them.... more...