Science Forums 2

[Don Blazys]

To: CraigD.

Here's the difference between a "division by zero", and an "indeterminate form":

6/3=2 is valid because: 2*3=6. However,

6/0= N is "undefined" because: N*0 does not equal 6, and

0/0= N is "indeterminate" because: any number N*0=0.

Thus, if 0/0= N, where N can be "any number", then the expressions in my proof clearly work out to:

(1)^(0/0)=1, therefore, c(1)^(0/0)= c, and (c(1)^(0/0))^2=c^2.

In other words, we need not know the value of the "indeterminate form" (0/0) in order to determine that
(1)^(0/0)=1 because 1 raised to any power, (including any "indeterminate power" such as 0/0), still equals 1.

Moreover, the all important doctrine of maintaining logical/mathematical consistency requires that our results have the exact same meaning regardless of whether we first let z=1 and z=2, then "cross out" the logarithms or whether we first let T=c, then let z=1 and z=2 so as to beget those absolutely benign "indeterminate forms".

In short, the "indeterminate forms" in no way derail my proof.

From my humble point of view, the proof works perfectly, and I expect that the editors and referees at the Journal Of The American Mathematical Society will see what I, along with many others, see. They have certainly had it long enough! (My website includes a few of the many letters of recomendation that I recieved, including one from a famous NASA/JPL planetary scientist that is directed to the AMS.)

"Cohesive terms" is just a name that I gave my discovery. Thus, at this time, you will not find that name or the construct to which it pertains anywhere but in my writings. (My innate humility prevented me from calling them "Blazys terms".) In my opinion, they are the most beautifull, elegant, and powerfull construct in all of mathematics. So much so that I no longer view the "Beal Conjecture" and "Fermat's Last Theorem" as "famous conjectures", but as "conjectures that would never have been made, had mankind learned to represent algebraic terms correctly to begin with".

I am very proud of both you, and Qfwfq. Despite my not being able to write out my mathematical expressions and equations in a format that you are used to, you fought your way through and have now come to a point where you nearly understand my proof! I am also very gratefull for all your help and advice.

Don.