Philosophia 38 (1):179-193 (2010)
|Abstract||C. S. Jenkins has recently proposed an account of arithmetical knowledge designed to be realist, empiricist, and apriorist: realist in that what’s the case in arithmetic doesn’t rely on us being any particular way; empiricist in that arithmetic knowledge crucially depends on the senses; and apriorist in that it accommodates the time-honored judgment that there is something special about arithmetical knowledge, something we have historically labeled with ‘a priori’. I’m here concerned with the prospects for extending Jenkins’s account beyond arithmetic—in particular, to set theory. After setting out the central elements of Jenkins’s account and entertaining challenges to extending it to set theory, I conclude that a satisfactory such extension is unlikely.|
|Keywords||No keywords specified (fix it)|
|Categories||categorize this paper)|
|Through your library||Configure|
Similar books and articles
Maria Schaar (2011). Assertion and Grounding: A Theory of Assertion for Constructive Type Theory. Synthese 183 (2):187-210.
C. S. Jenkins (2005). Knowledge of Arithmetic. British Journal for the Philosophy of Science 56 (4):727-747.
C. S. Jenkins (2008). Grounding Concepts: An Empirical Basis for Arithmetical Knowledge. OUP Oxford.
Peter Smith (2009). Critical Notice of C. Parsons, Mathematical Thought and its Objects. [REVIEW] Analysis 69 (3):549-557.
Richard Pettigrew (2009). On Interpretations of Bounded Arithmetic and Bounded Set Theory. Notre Dame Journal of Formal Logic 50 (2):141-152.
John MacFarlane (2002). Frege, Kant, and the Logic in Logicism. Philosophical Review 111 (1):25-65.
Paul Strauss (1991). Arithmetical Set Theory. Studia Logica 50 (2):343 - 350.
C. S. Jenkins (2010). Concepts, Experience and Modal Knowledge1. Philosophical Perspectives 24 (1):255-279.
James Robert Brown & James Davies (2011). Grounding Concepts: An Empirical Basis for Arithmetical Knowledge – C.S. Jenkins. Philosophical Quarterly 61 (242):208-211.
Gábor Forrai (2011). Grounding Concepts: The Problem of Composition. Philosophia 39 (4):721-731.
Added to index2009-04-01
Total downloads47 ( #27,259 of 722,701 )
Recent downloads (6 months)1 ( #60,247 of 722,701 )
How can I increase my downloads?