Graduate studies at Western
Philosophia 39 (4):721-731 (2011)
|Abstract||In a recent book C.S. Jenkins proposes a theory of arithmetical knowledge which reconciles realism about arithmetic with the a priori character of our knowledge of it. Her basic idea is that arithmetical concepts are grounded in experience and it is through experience that they are connected to reality. I argue that the account fails because Jenkins’s central concept, the concept for grounding, is inadequate. Grounding as she defines it does not suffice for realism, and by revising the definition we would abandon the idea that grounding is experiential. Her account falls prey to a problem of which Locke, whom she regards as a source of inspiration was aware and which he avoided by choosing anti-realism about mathematics|
|Keywords||A priori Arithmetic Knowledge Mathematics Concept|
|Categories||categorize this paper)|
|Through your library||Configure|
Similar books and articles
C. S. Jenkins (2008). Grounding Concepts: An Empirical Basis for Arithmetical Knowledge. OUP Oxford.
Jeffrey W. Roland (2010). Concept Grounding and Knowledge of Set Theory. Philosophia 38 (1):179-193.
C. S. Jenkins (2005). Knowledge of Arithmetic. British Journal for the Philosophy of Science 56 (4):727-747.
Trogdon Kelly (forthcoming). Grounding: Necessary or Contingent? Pacific Philosophical Quarterly.
James Robert Brown & James Davies (2011). Grounding Concepts: An Empirical Basis for Arithmetical Knowledge – C.S. Jenkins. Philosophical Quarterly 61 (242):208-211.
C. S. Jenkins (2010). Concepts, Experience and Modal Knowledge1. Philosophical Perspectives 24 (1):255-279.
Elijah Chudnoff (2011). What Should a Theory of Knowledge Do? Dialectica 65 (4):561-579.
Michael J. Clark & David Liggins (2012). Recent Work on Grounding. Analysis 72 (4):812-823.
C. S. Sutton (2012). Colocated Objects, Tally-Ho: A Solution to the Grounding Problem. Mind 121 (483):703-730.
Alex Baia (2012). Presentism and the Grounding of Truth. Philosophical Studies 159 (3):341-356.
Chris Heathwood (2012). Could Morality Have a Source? Journal of Ethics and Social Philosophy 6 (2):1-19.
Giuliano Torrengo (forthcoming). The Grounding Problem and Presentist ExplanationsThe Grounding Problem and Presentist Explanations. Synthese (Already in Online First).
Added to index2011-03-09
Total downloads24 ( #57,917 of 739,542 )
Recent downloads (6 months)1 ( #61,680 of 739,542 )
How can I increase my downloads?