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Science may benefit from aesthetically pleasing and intellectually stimulating mathematical metaphors. To make them into mathematical theories, however, one has to complement them by links to well-defined theoretical primitives in turn linked to well-defined empirical procedures and observable phenomena. Rudolph's (2006) mathematical metaphors for psychological time are fascinating, but the mathematical rigor with which they can be described does not compensate for the conspicuous lack of both theoretical and operational clarity in the notions these metaphors are supposed to pertain to, including the very notion of psychological time

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