[FOM] fom submission: Mill on Aristotle and Euclid
neilt at mercutio.cohums.ohio-state.edu
Sat Mar 27 11:27:16 EST 2004
On Fri, 26 Mar 2004, John Corcoran wrote:
> Subject: Mill on Aristotle and Euclid
> FORMALIZING EUCLID'S DEDUCTIONS: The whole of Euclid, for example, might
> be thrown without difficulty into a series of syllogisms, regular in
> mood and figure. MILL 1843:I,191
> Q1. Who commented on this absurdity? De Morgan? Boole? Hamilton? Frege?
I do not know whether De Morgan was the first to comment on it, or where
he did so, but I recall reading somewhere that he pointed out that
Aristotle's syllogistic was incapable of accommodating the valid argument
"All horses are animals; therefore, all horses' tails are animals' tails."
His point was that it was an *expressive* inadequacy; from which, of
course, deductive inadequacy would follow.
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