David Bourget (Western Ontario)
David Chalmers (ANU, NYU)
Rafael De Clercq
Jack Alan Reynolds
Learn more about PhilPapers
Aristotelian Society Supplementary Volume 73 (1):75–98 (1999)
[Michael Potter] If arithmetic is not analytic in Kant's sense, what is its subject matter? Answers to this question can be classified into four sorts according as they posit logic, experience, thought or the world as the source, but in each case we need to appeal to some further process if we are to generate a structure rich enough to represent arithmetic as standardly practised. I speculate that this further process is our reflection on the subject matter already obtained. This suggestion seems problematic, however, since it seems to rest on a confusion between the empirical and the metaphysical self. /// [Bob Hale] Michael Potter considers several versions of the view that the truths of arithmetic are analytic and finds difficulties with all of them. There is, I think, no gainsaying his claim that arithmetic cannot be analytic in Kant's sense. However, his pessimistic assessment of the view that what is now widely called Hume's principle can serve as an analytic foundation for arithmetic seems to me unjustified. I consider and offer some answers to the objections he brings against it
|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
Bob Hale (2000). Transmission and Closure. Noûs 34 (s1):172 - 190.
Bob Hale (2000). Reply to Ahmed. Mind 109 (433):93-96.
Bob Hale (1992). Book Reviews. [REVIEW] Mind 101 (403):583-586.
Bob Hale (1997). Realism and its Oppositions. In . 271--308.
Bob Hale (ed.) (2001). The Reason's Proper Study: Essays Towards a Neo-Fregean Philosophy of Mathematics. Oxford University Press.
Michael Potter & Timothy Smiley (2001). Abstraction by Recarving. Proceedings of the Aristotelian Society 101 (3):327–338.
Bob Hale (2011). Erratum To: The Bearable Lightness of Being. [REVIEW] Axiomathes 21 (4):597-597.
Michael Potter & Timothy Smiley (2002). Recarving Content: Hale's Final Proposal. Proceedings of the Aristotelian Society 102 (3):301–304.
Bob Hale (2005). Real Numbers and Set Theory – Extending the Neo-Fregean Programme Beyond Arithmetic. Synthese 147 (1):21 - 41.
Added to index2009-01-28
Total downloads5 ( #229,636 of 1,102,762 )
Recent downloads (6 months)1 ( #296,987 of 1,102,762 )
How can I increase my downloads?