quote: Originally posted by PsychoSnowman
yes, but thats not an exception. There's a variation in the method used, but that rule is only for certain cases, and i wasn't referring to that. the "answers" are what i was talking about. There will always be two different resultants for those cases, as well as there being only one truth for the sum of a triangles angles equals 180 degrees. 1+1 will always equal two (not in different bases), is there an exception to that? The rule you described is to find a resultant to the triangle, not "the only one." I don't think thats an exception because it still works. If it didn't work, that would be an exception.
no, it is an exception. An exception (dictionary.com) is "An error condition that changes the normal flow of control in a setting." In the example i brought up, the two other possiblities would cause an error when using the standard rule. Therefore they are exceptions.
The examples you bring up, are both found in the basics of mathematics. Therefore, they would be true without exception or else our whole foundation would crumble. However, as my SAT tutor (a Higher Mathematics major from UC Berkeley) stated, there are always discrepencies when it comes to the higher levels of mathematics, areas which are still being debated about by the highest-caliber mathematician today.
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ni pour ni contre; ça m'est égal
"The weight of this sad time we must obey,/ Speak what we feel, not what we ought to say./ The oldest hath borne most; we that are young/ Shall never see so much, nor live so long."
King Lear (V.3.300-304)
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