Review of P. Mancosu, K. F. Jørgensen, and S. A. Pedersen (eds.), Visualization, explanation and reasoning styles in mathematics [Book Review]
David Bourget (Western Ontario)
David Chalmers (ANU, NYU)
Rafael De Clercq
Jack Alan Reynolds
Learn more about PhilPapers
Philosophia Mathematica 14 (3):378-391 (2006)
What is philosophy of mathematics and what is it about? The most popular answer, I suppose, to this question would be that philosophers should provide a justification for our presently most cherished mathematical theories and for the most important tool to develop such theories, namely logico-mathematical proof. In fact, it does cover a large part of the activity of philosophers that think about mathematics. Discussions about the merits and faults of classical logic versus one or other ‘deviant’ logics as the logical basis for mathematical theories, ranging from intuitionist over modal logic to paraconsistent logic, typically belong to this area, as do debates about the natural-number concept, its ‘nature’, its properties, especially its uniqueness, and so on. No doubt sociologists of knowledge could explain why philosophers of mathematics came to select these particular problems and deal with them the way they do. What it does imply, however, is that the question is meaningful whether different kinds of philosophies of mathematics are possible, and—why not?—perhaps even desirable. To a certain extent, the answer is trivial: look at what, e.g., phenomenologists have to say about mathematics and you must notice it does not fit into the scheme sketched above.1 Rather, the question should be whether there are forms that, on the one hand, reinterpret the whole enterprise, and, on the other hand, somehow remain related to the work of ‘mainstream’ philosophers of mathematics today.The book under review here does precisely that. Let me be a bit more precise. The general proposal, present throughout all the contributions, is that even at a first, superficial, glance at what mathematicians do when they do mathematics, it is far more complex than ‘just thinking about and …
|Keywords||No keywords specified (fix it)|
|Categories||categorize this paper)|
Setup an account with your affiliations in order to access resources via your University's proxy server
Configure custom proxy (use this if your affiliation does not provide a proxy)
|Through your library|
References found in this work BETA
No references found.
Citations of this work BETA
No citations found.
Similar books and articles
Andrea Staiti (2010). Dieter Lohmar, Phänomenologie der Schwachen Phantasie. Untersuchungen der Psychologie, Cognitive Science, Neurologie Und Phänomenologie Zur Funktion der Phantasie in der Wahrnehmung Springer, Dordrecht, 2008 (Series Phaenomenologica, Vol. 185), P. 270, Us$159, Eu€ 117.65 (Hardcover), Isbn 978-1-4020-6830-. [REVIEW] Husserl Studies 26 (2):147-156.
Roberto Festa (2006). Review of G. Kampis, L. Kvasz, and M. Stöltzner (Eds.), Appraising Lakatos. Mathematics, Methodology and the Man. [REVIEW] British Journal for the Philosophy of Science 57 (1):247-253.
J. Godefroy Bidima (2010). Contemporary Philosophy. A New Survey. Volume 9: Aesthetics and Philosophy of Art, Edited by Guttorm Floistad, Dordrecht: Springer 2008, 413 Pp. ISBN 978-1-4020- 5068-8. [REVIEW] Diogenes 56 (4):123-125.
Esther Oluffa Pedersen, Claus Festersen, Steen Brock & Stig Andur Pedersen (2011). Preface. Synthese 179 (1):1-5.
Esther Oluffa Pedersen, Claus Festersen, Steen Brock & Stig Andur Pedersen (2011). Acknowledgements. Synthese 179 (1):7-7.
Roberto J. Walton (2010). Edmund Husserl, Die Lebenswelt. Auslegungen der Vorgegebenen Welt Und Ihrer Konstitution. Texte Aus Dem Nachlass (1916–1937). Rochus Sowa (Ed) (Series Husserliana, Vol. XXXIX) Springer, Dordrecht, 2008, 957 Pp, Us$525.00, Isbn 978-1-4020-6476-. [REVIEW] Husserl Studies 26 (3):205-224.
Bruce Langtry (2008). Nick Trakakis the God Beyond Belief: In Defence of William Rowe's Evidential Argument From Evil. (Dordrecht: Springer, 2007). Pp. XVII+373. ISBN 10 1 4020 5144 1 (Hbk). [REVIEW] Religious Studies 44 (3):363-367.
Colin J. Hahn (2010). Edmund Husserl, the Basic Problems of Phenomenology: From the Lectures, Winter Semester, 1910–1911. Translated by Ingo Farin and James G. Hart Springer, Dordrecht, 2006, Isbn 978-1-4020-3787-0 (Hardback), $139.00; Isbn 978-1-4020-3789-4 (E-Book). [REVIEW] Husserl Studies 26 (3):245-249.
Jan von Plato (2002). Review: Vincent F. Hendricks, Stig Andur Pedersen, Klaus Frovin Jørgensen, Proof Theory, History and Philosophical Significance. [REVIEW] Bulletin of Symbolic Logic 8 (3):431-432.
Added to index2009-01-28
Total downloads16 ( #167,478 of 1,727,073 )
Recent downloads (6 months)1 ( #369,877 of 1,727,073 )
How can I increase my downloads?