David Bourget (Western Ontario)
David Chalmers (ANU, NYU)
Rafael De Clercq
Ezio Di Nucci
Jack Alan Reynolds
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Philosophia 39 (4):721-731 (2011)
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|
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References found in this work BETA
John Locke (2008/1995). An Essay Concerning Human Understanding. Oxford University Press.
Laurence BonJour (1998). In Defense of Pure Reason. Cambridge University Press.
W. V. Quine (1992). Pursuit of Truth. Harvard University Press.
Paul Artin Boghossian (1996). Analyticity Reconsidered. Noûs 30 (3):360-391.
Paul Boghossian & Christopher Peacocke (eds.) (2000). New Essays on the A Priori. Oxford University Press.
Citations of this work BETA
Jörgen Sjögren & Christian Bennet (2014). Concept Formation and Concept Grounding. Philosophia 42 (3):827-839.
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