The Wonder of Colors and the Principle of Ariadne

In How Colours Matter to Philosophy. New . York: Springer. pp. 309-317 (2017)
Download Edit this record How to cite View on PhilPapers
Abstract
The Principle of Ariadne, formulated in 1988 ago by Walter Carnielli and Carlos Di Prisco and later published in 1993, is an infinitary principle that is independent of the Axiom of Choice in ZF, although it can be consistently added to the remaining ZF axioms. The present paper surveys, and motivates, the foundational importance of the Principle of Ariadne and proposes the Ariadne Game, showing that the Principle of Ariadne, corresponds precisely to a winning strategy for the Ariadne Game. Some relations to other alternative. set-theoretical principles are also briefly discussed.
Categories
(categorize this paper)
PhilPapers/Archive ID
CARCWD-2
Revision history
Archival date: 2018-03-01
View upload history
References found in this work BETA
Culture and Value.Wittgenstein, Ludwig; Von Wright, G. H.; Nymam, Heikki & Winch, Peter
Natural Kinds.Quine, Willard V.
Does Mathematics Need New Axioms.Feferman, Solomon; Friedman, Harvey M.; Maddy, Penelope & Steel, John R.
Happy Families.Mathias, A. R. D.

View all 9 references / Add more references

Citations of this work BETA

No citations found.

Add more citations

Added to PP index
2018-03-01

Total views
312 ( #13,380 of 47,367 )

Recent downloads (6 months)
116 ( #4,770 of 47,367 )

How can I increase my downloads?

Downloads since first upload
This graph includes both downloads from PhilArchive and clicks to external links.