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Problem With Axiom Definition:

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Posted by Michael Wright on August 27, 2001 13:35:09 UTC

Well, not the definition, but the example.

"If a=b, and if a=c, then b=c." If used in logic (the basis for mathematics), it represents a formal fallacy.
_____
Ex:
All (D)ogs are (M)ammals.
All (D)ogs are (Q)uadrepedal.

Therefore All (M)ammals are (Q)uadrepedal.
_____

A Modus Ponens would have worked fine:
All D is M
All M is Q
Therefore all D is Q.
(Notice the premises need not be true for the logical argument to be valid).

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