Arithmetic Reflection without Intuition

Aristotelian Society Supplementary Volume 73 (1):75-98 (1999)
  Copy   BIBTEX

Abstract

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.

Links

PhilArchive



    Upload a copy of this work     Papers currently archived: 91,672

External links

Setup an account with your affiliations in order to access resources via your University's proxy server

Through your library

Similar books and articles

Intuition and reflection in arithmetic: Bob Hale.Bob Hale - 1999 - Aristotelian Society Supplementary Volume 73 (1):75–98.
Intuition and reflection in arithmetic: Michael Potter.Michael Potter - 1999 - Aristotelian Society Supplementary Volume 73 (1):63–73.
Still Inexplicit? Bob Hale and Crispin Wright.Bob Hale - 2010 - In Bernhard Weiss & Jeremy Wanderer (eds.), Reading Brandom: On Making It Explicit. Routledge. pp. 276.
Arithmetic, Mathematical Intuition, and Evidence.Richard Tieszen - 2015 - Inquiry: An Interdisciplinary Journal of Philosophy 58 (1):28-56.
Strict $${\Pi^1_1}$$ -reflection in bounded arithmetic.António M. Fernandes - 2010 - Archive for Mathematical Logic 49 (1):17-34.
Recarving content: Hale's final proposal.Michael Potter & Timothy Smiley - 2002 - Proceedings of the Aristotelian Society 102 (3):301–304.
Parsons’ Mathematical Intuition: a Brief Introduction.Iris Merkač - 2013 - Croatian Journal of Philosophy 13 (1):99-107.
Intuition and Reflection in Self-Consciousness.Kitar? Nishida - 1987 - State University of New York Press.
A Conversation with Baroness Hale.Brenda Hale & Rosemary Hunter - 2008 - Feminist Legal Studies 16 (2):237-248.
Review of G. Duke: Dummett on Abstract Objects. [REVIEW]Bob Hale - 2013 - Journal for the History of Analytical Philosophy 2 (2).

Analytics

Added to PP
2016-06-30

Downloads
21 (#733,828)

6 months
3 (#962,988)

Historical graph of downloads
How can I increase my downloads?

Citations of this work

No citations found.

Add more citations

References found in this work

No references found.

Add more references