Quote:
(T/T)a^x=T(a/T)^((xln(a)/(ln(T))-1)/(ln(a)/(ln(T))-1))
is telling us that, in principle, multiplication and/or division by unity automatically results in division by zero.
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Don, have you studied ring theory? Field theory? Abstract algebra of any sort? Quite honestly, what this implies is that the way mathematics has been done is a sham. I really don't even have to read the previous posts to know that if you claim that your argument implies this, then it is false. Stranger than fiction? I think not. If you knew how about constructions and completions of fields, it would help to understand that this statement is simply wrong. If this were the case, mathematics would be reduced to trivial statements. Mathematicians may have pondered such questions as these at one point (perhaps even ones that would seem more obvious) but, I stress,
multiplication by unit does NOT result in division by zero. Do you need the entire mathematical community to ensure you about this?