Abstract

If arithmetic is not analytic in Kant’s sense, what is its subject matter? Answers to this question can be classified into four sorts according as they posit logic, experience, thought or the world as the source, but in each case we need to appeal to some further process if we are to generate a structure rich enough to represent arithmetic as standardly practised. I speculate that this further process is our reflection on the subject matter already obtained. This suggestion seems problematic, however, since it seems to rest on a confusion between the empirical and the metaphysical self.

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