Putting structuralism in its place
David Bourget (Western Ontario)
David Chalmers (ANU, NYU)
Rafael De Clercq
Jack Alan Reynolds
Learn more about PhilPapers
One textbook may introduce the real numbers in Cantor’s way, and another in Dedekind’s, and the mathematical community as a whole will be completely indifferent to the choice between the two. This sort of phenomenon was famously called to the attention of philosophers by Paul Benacerraf. It will be argued that structuralism in philosophy of mathematics is a mistake, a generalization of Benacerraf’s observation in the wrong direction, resulting from philosophers’ preoccupation with ontology.
|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
Uri Nodelman & Edward N. Zalta (2014). Foundations for Mathematical Structuralism. Mind 123 (489):39-78.
Simon Friederich (2010). Structuralism and Meta-Mathematics. Erkenntnis 73 (1):67 - 81.
Geoffrey Hellman (2001). Three Varieties of Mathematical Structuralism. Philosophia Mathematica 9 (2):184-211.
Audrey Yap (2009). Logical Structuralism and Benacerraf's Problem. Synthese 171 (1):157 - 173.
Christopher Menzel (1990). Structuralism and Conceptual Change in Mathematics. PSA: Proceedings of the Biennial Meeting of the Philosophy of Science Association 1990:397 - 401.
John Forge (2002). Reflections on Structuralism and Scientific Explanation. Synthese 130 (1):109 - 121.
Julian C. Cole (2010). Mathematical Structuralism Today. Philosophy Compass 5 (8):689-699.
Added to index2009-04-12
Total downloads67 ( #54,113 of 1,780,590 )
Recent downloads (6 months)1 ( #291,765 of 1,780,590 )
How can I increase my downloads?