Philosophy of Mathematics Books

New and Published Books

1. An Objective Theory of Probability (Routledge Revivals)

   By Donald Gillies

   This reissue of D. A. Gillies highly influential work, first published in 1973, is a philosophical theory of probability which seeks to develop von Mises’ views on the subject. In agreement with von Mises, the author regards probability theory as a mathematical science like mechanics or...

   Published March 1st 2012 by Routledge
2. Platonism, Naturalism, and Mathematical Knowledge

   By James Robert Brown

   Series: Routledge Studies in the Philosophy of Science

   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...

   Published December 12th 2011 by Routledge
3. Conceptual Roots of Mathematics

   By J.R. Lucas

   Series: International Library of Philosophy

   The Conceptual Roots of Mathematics is a comprehensive study of the foundation of mathematics. J.R. Lucas, one of the most distinguished Oxford scholars, covers a vast amount of ground in the philosophy of mathematics, showing us that it is actually at the heart of the study of epistemology and...

   Published November 9th 2011 by Routledge
4. The Meaning of the Concept of Probability in Application to Finite Sequences (Routledge Revivals)

   By Hilary Putnam

   Series: Routledge Revivals

   First published in 1990, this is a reissue of Professor Hilary Putnam’s dissertation thesis, written in 1951, which concerns itself with The Meaning of the Concept of Probability in Application to Finite Sequences and the problems of the deductive justification for induction. Written under the...

   Published October 29th 2011 by Routledge
5. Philosophy of Logic (Routledge Revivals)

   By Hilary Putnam

   First published in 1971, Professor Putnam's essay concerns itself with the ontological problem in the philosophy of logic and mathematics - that is, the issue of whether the abstract entities spoken of in logic and mathematics really exist. He also deals with the question of whether or not...

   Published August 30th 2011 by Routledge
6. Frege, Dedekind, and Peano on the Foundations of Arithmetic (Routledge Revivals)

   By Donald Gillies

   Series: Routledge Revivals

   First published in 1982, this reissue contains a critical exposition of the views of Frege, Dedekind and Peano on the foundations of arithmetic. The last quarter of the 19th century witnessed a remarkable growth of interest in the foundations of arithmetic. This work analyses both the reasons for...

   Published April 14th 2011 by Routledge
7. Philosophy of Probability: Contemporary Readings

   Edited by Antony Eagle

   Series: Routledge Contemporary Readings in Philosophy

   Philosophy of Probability: Contemporary Readings is the first anthology to collect essential readings in this important area of philosophy. Featuring the work of leading philosophers in the field such as Carnap, Hájek, Jeffrey, Joyce, Lewis, Loewer, Popper, Ramsey, van Fraassen, von Mises, and many...

   Published November 18th 2010 by Routledge
8. Fiction and Fictionalism

   By R. M. Sainsbury

   Series: New Problems of Philosophy

   Are fictional characters such as Sherlock Holmes real? What can fiction tell us about the nature of truth and reality? In this excellent introduction to the problem of fictionalism R. M. Sainsbury covers the following key topics: what is fiction? realism about fictional objects, including the...

   Published August 12th 2009 by Routledge
9. Frank Ramsey

   Truth and Success

   By Jérôme Dokic, Pascal Engel

   Despite his tragic death at the age of 26, Frank Ramsey (1903 - 1930) remains one of the most intriguing minds of the twentieth century. His thought had a profound influence on both Ludwig Wittgenstein and Bertrand Russell, and many strands of contemporary analytic philosophy find their origin in...

   Published April 30th 2006 by Routledge
10. Gottlob Frege

    Edited by Michael Beaney, Erich Reck

    Series: Critical Assessments of Leading Philosophers

    Gottlob Frege (1848-1925) taught at the University of Jena for thirty years, and was scarcely known outside a small circle of professional mathematicians and philosophers. However, later in the twentieth century he came to be recognized as someone who, in demonstrating the affinity of logic with...

    Published December 6th 2005 by Routledge