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- On the Barber's Paradox: - this is not a paradox of self referencing loops but a rhetorical language trick. “The barber shaves only those men in town who do not shave themselves” effectively tricks you into thinking that “barber” is the opposite of a person who does not shave themselves, when in fact it is in another category (barber or not barber) that is independent of the self-shaver category. The statement is effectively nonsense and misleading, and it belongs more in the realm of rhetorical tricks of persuasion, than in the realm of logic, mathematics and set theory. To use such an obvious misuse of language to poke holes in something as fundamentally simple as set theory is quite simply astonishing to me. I cannot understand why this paradox has been held up to scrutiny as long as it has.
