Graduate studies at Western
Philosophia Mathematica 5 (2):135--52 (1997)
|Abstract||Crispin Wright and Bob Hale have defended the strategy of defining the natural numbers contextually against the objection which led Frege himself to reject it, namely the so-called ‘Julius Caesar problem’. To do this they have formulated principles (called sortal inclusion principles) designed to ensure that numbers are distinct from any objects, such as persons, a proper grasp of which could not be afforded by the contextual definition. We discuss whether either Hale or Wright has provided independent motivation for a defensible version of the sortal inclusion principle and whether they have succeeded in showing that numbers are just what the contextual definition says they are.|
|Keywords||No keywords specified (fix it)|
|Categories||categorize this paper)|
|Through your library||Configure|
Similar books and articles
Michael Potter & Timothy Smiley (2002). Recarving Content: Hale's Final Proposal. Proceedings of the Aristotelian Society 102 (3):301–304.
Michael Potter & Peter Sullivan (2005). What Is Wrong with Abstraction? Philosophia Mathematica 13 (2):187-193.
Nikolaj Jang Lee Linding Pedersen (2009). Solving the Caesar Problem Without Categorical Sortals. Erkenntnis 71 (2):141 - 155.
Bob Hale & Crispin Wright (2008). Abstraction and Additional Nature. Philosophia Mathematica 16 (2):182-208.
Bob Hale (1994). Dummett's Critique of Wright's Attempt to Resuscitate Frege. Philosophia Mathematica 2 (2):122-147.
Matthias Schirn (2003). Fregean Abstraction, Referential Indeterminacy and the Logical Foundations of Arithmetic. Erkenntnis 59 (2):203 - 232.
Richard Heck (1997). The Julius Caesar Objection. In R. Heck (ed.), Language, Thought, and Logic: Essays in Honour of Michael Dummett. Oxford University Press.
Bob Hale (ed.) (2001). The Reason's Proper Study: Essays Towards a Neo-Fregean Philosophy of Mathematics. Oxford University Press.
Vadim Batitsky (2002). Some Measurement-Theoretic Concerns About Hale's ‘Reals by Abstraction';. Philosophia Mathematica 10 (3):286-303.
William Stirton (2003). Caesar Invictus. Philosophia Mathematica 11 (3):285-304.
Added to index2009-01-28
Total downloads37 ( #37,060 of 740,356 )
Recent downloads (6 months)4 ( #20,742 of 740,356 )
How can I increase my downloads?