David Bourget (Western Ontario)
David Chalmers (ANU, NYU)
Rafael De Clercq
Jack Alan Reynolds
Learn more about PhilPapers
Figures of Thought looks at how mathematical works can be read as texts and examines their textual strategies. David Reed offers the first sustained and critical attempt to find a consistent argument or narrative thread in mathematical texts. Reed selects mathematicians from a range of historical periods and compares their approaches to organizing and arguing texts, using an extended commentary on Euclid's Elements as a central structuring framework. He develops fascinating interpretations of mathematicians' work throughout history, from Descartes to Hilbert, Kronecker, Dedekind, Weil and Grothendieck. Reed traces the implications of this approach to the understanding of the history and development of mathematics.
|Keywords||Mathematics Philosophy Mathematics History Mathematical literature|
|Categories||categorize this paper)|
|Buy the book||$117.71 new (19% off) $120.77 used (17% off) $137.75 direct from Amazon (5% off) Amazon page|
|Call number||QA8.4.R44 1995|
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
Ivahn Smadja (2010). How Discrete Patterns Emerge From Algorithmic Fine-Tuning: A Visual Plea for Kroneckerian Finitism. Topoi 29 (1):61-75.
Brendan Larvor (2012). How to Think About Informal Proofs. Synthese 187 (2):715-730.
Marcel Danesi (2007). A Conceptual Metaphor Framework for the Teaching of Mathematics. Studies in Philosophy and Education 26 (3):225-236.
Similar books and articles
I. Grattan-Guinness (ed.) (1994). Companion Encyclopedia of the History and Philosophy of the Mathematical Sciences. Routledge.
Penelope Maddy (1990). Realism in Mathematics. Oxford University Prress.
Charles S. Chihara (1990). Constructibility and Mathematical Existence. Oxford University Press.
Andrew Arana (2007). Review of D. Corfield's Toward A Philosophy Of Real Mathematics. [REVIEW] Mathematical Intelligencer 29 (2).
T. Koetsier (1991). Lakatos' Philosophy of Mathematics: A Historical Approach. Distributors for the U.S. And Canada, Elsevier Science Pub. Co..
Ian Mueller (1981/2006). Philosophy of Mathematics and Deductive Structure in Euclid's Elements. Dover Publications.
Paolo Mancosu (1996). Philosophy of Mathematics and Mathematical Practice in the Seventeenth Century. Oxford University Press.
Christopher Pincock (2009). Towards a Philosophy of Applied Mathematics. In Otávio Bueno & Øystein Linnebo (eds.), New Waves in Philosophy of Mathematics. Palgrave Macmillan.
Added to index2009-01-28
Total downloads14 ( #113,718 of 1,100,902 )
Recent downloads (6 months)2 ( #176,807 of 1,100,902 )
How can I increase my downloads?