David Bourget (Western Ontario)
David Chalmers (ANU, NYU)
Rafael De Clercq
Jack Alan Reynolds
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History and Philosophy of Logic 15 (1):85-103 (1994)
This paper defends the view that Frege's reduction of arithmetic to logic would, if successful, have shown that arithmetical knowledge is analytic in essentially Kant's sense.It is argued, as against Paul Benacerraf, that Frege's apparent acceptance of multiple reductions is compatible with this epistemological thesis.The importance of this defense is that (a) it clarifies the role of proof, definition, and analysis in Frege's logicist works; and (b) it demonstrates that the Fregean style of reduction is a valuable tool for those who would investigate the nature of arithmetical knowledge
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Sean Walsh (2014). Logicism, Interpretability, and Knowledge of Arithmetic. Review of Symbolic Logic 7 (1):84-119.
Gregory Landini (2006). Frege's Cardinals as Concept-Correlates. Erkenntnis 65 (2):207 - 243.
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