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[–]AFutureConcern 1 insightful - 1 fun1 insightful - 0 fun2 insightful - 1 fun -  (0 children)

You're exactly right - we have common assumptions and don't go around introducing weird bases and the like without saying so. Lindsay goes into exactly this in detail - he points out they want to erase any stable meaning of words or concepts, so they have the say in what things mean, i.e. it's bigger than just mathematics.