Philosophia Mathematica Advance Access originally published online on January 25, 2008
Philosophia Mathematica 2008 16(2):264-276; doi:10.1093/philmat/nkm041
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Copyright © The Author 2008. Published by Oxford University Press.
Book Review |
RICHARD TIESZEN. Phenomenology, Logic, and the Philosophy of Mathematics
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Correspondence: ronzitti@gmail.com
Richard Tieszen. Phenomenology, Logic, and the Philosophy of Mathematics. Cambridge: Cambridge University Press, 2005. ISBN 978-0-521-83782-8. Pp. x + 357.
| The first 150 words of the full text of this article appear below. |
Richard Tieszen's new book1 is a collection of fifteen articles and reviews, spanning fifteen years, presenting the author's approach to philosophical questions about logic and mathematics from the point of view of phenomenology, as developed by Edmund Husserl (1859–1938) in the later phase2 of his philosophical thinking known as transcendental phenomenology, starting in 1907 with the Logical Investigations and characterized by the introduction of the (various) notions of reduction. Husserlian transcendental phenomenology as philosophy of mathematics is described (p. 50) as one that cuts across different philosophical positions, such as platonism, nominalism, fictionalism, Hilbertian formalism, etc. but, at the same time, as having built in the conceptual tools which allow one not to incur the kinds of problems which are usually related to one's preferred approach. Phenomenology centers around the notion of intentionality3 or aboutness, i.e. the characteristic of acts of cognition (such as believing, desiring,