Philosophia Mathematica Advance Access originally published online on July 1, 2006
Philosophia Mathematica 2006 14(3):362-364; doi:10.1093/philmat/nkl014
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Philosophia Mathematica (III), Vol. 14 No. 3 © The Author [2006]. Published by Oxford University Press. All rights reserved. For Permissions, please e-mail: journals.permissions@oxfordjournals.org
Book Review |
PAUL RUSNOCK. Bolzano's Philosophy and the Emergence of Modern Mathematics. Studien zur österreichischen Philosophie [Studies in Austrian philosophy], Vol. 30. Amsterdam & Atlanta: Editions Rodopi, 2000. ISBN 90-420-1501-2. Pp. 218.
* Department of Philosophy, University of Western Ontario London, Ont. N6A 3K7 Canada jbell@uwo.ca
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Bernard Bolzano (17811848), one of the leading figures of the Bohemian Enlightenment, made important contributions both to mathematics and philosophy which were virtually unknown in his lifetime and are still largely unacknowledged today. As a mathematician, he was a pioneer in the clarification and rigorization of mathematical analysis; as a philosopher, he may be considered a forerunner of the analytic movement later to emerge with Frege and Russell.
Rusnock's account of Bolzano's work is laid out in five chapters and two appendices. The introductory first chapter consists of an overview of Bolzano's philosophy and his account of scientific theories. For Bolzano, the importance of