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Logic has nothing to do with true or false. Logic has to do with valid or invalid arguments. "Correct" is not a term used in logic.
non-Euclidean geometry was developed with what you might call an incorrect definition.
Scientists and philosophers deal with truth, mathematicians and logicians deal with validity. There is a big difference.
Tom,
I love logic, and would add:
Logic is the science of correct thinking, by which, when starting with incorrect definitions or false statements, a perfectly locigal, correct but false answer will result.
Terrence O'Neill
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Lorn H. 'Feathers' Olsen, MAA, DynaComm, Corp.
248-345-0500, mailto:lorn@dynacomm.ws
LNC2, FB90/92, O-320-D1F, 1,300 hrs, N31161, Y47, SE Michigan
non-Euclidean
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