David Bourget (Western Ontario)
David Chalmers (ANU, NYU)
Rafael De Clercq
Jack Alan Reynolds
Learn more about PhilPapers
Philosophia Mathematica 8 (1):9-25 (2000)
I discuss a difficulty concerning the justification of the Axiom of Choice in terms of such informal notions such as that of iterative set. A recent attempt to solve the difficulty is by S. Lavine, who claims in his Understanding the Infinite that the axioms of set theory receive intuitive justification from their being self-evidently true in Fin(ZFC), a finite counterpart of set theory. I argue that Lavine's explanatory attempt fails when it comes to AC: in this respect Fin(ZFC) is no better off than the iterative notion
|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
Lorenz Halbeisen & Saharon Shelah (1994). Consequences of Arithmetic for Set Theory. Journal of Symbolic Logic 59 (1):30-40.
Thomas Glass (1996). On Power Set in Explicit Mathematics. Journal of Symbolic Logic 61 (2):468-489.
Jan Mycielski (1981). Analysis Without Actual Infinity. Journal of Symbolic Logic 46 (3):625-633.
Tatiana Arrigoni (2011). V = L and Intuitive Plausibility in Set Theory. A Case Study. Bulletin of Symbolic Logic 17 (3):337-360.
Adam Rieger (2011). Paradox, ZF and the Axiom of Foundation. In D. DeVidi, M. Hallet & P. Clark (eds.), Logic, Mathematics, Philosophy, Vintage Enthusiasms: Essays in Honour of John L. Bell. Springer.
Harvey Friedman (2000). Does Mathematics Need New Axioms? Bulletin of Symbolic Logic 6 (4):401 - 446.
Shaughan Lavine (1995). Finite Mathematics. Synthese 103 (3):389 - 420.
Added to index2009-01-28
Total downloads13 ( #133,326 of 1,413,336 )
Recent downloads (6 months)1 ( #154,079 of 1,413,336 )
How can I increase my downloads?