"I recall an interview with Daniel Dennet where he argued that mathematics has a sort of Platonic quality. Not in the metaphysical sense, but in the way that basic mathematical principles will constantly be rediscovered because they are so useful. So if we discovered an alien culture, it seems likely that it would have some knowledge of mathematics -- perhaps not a base-10 system, but something at least. Do you buy that argument? What implications does it have for an embodied philosophy of mathematics?"