is irrational for (proof using Fermat’s last theorem)
If , then is irrational.
The below proof can be seen as an example of a pathological proof. It gives no information to “why” the result holds, or how non-trivial the result is. Yet, assuming Wiles’ proof does not use the above theorem anywhere, it proves the statement. Otherwise, the below proof would be an example of a circular argument.
The above proof is given in , where it is attributed to W.H. Schultz.
- 1 A. Wiles, Modular elliptic curves and Fermat’s last theorem, Annals of Mathematics, Volume 141, No. 3 May, 1995, 443-551.
- 2 W.H. Schultz, An observation, American Mathematical Monthly, Vol. 110, Nr. 5, May 2003. (submitted by R. Ehrenborg).
|Title||is irrational for (proof using Fermat’s last theorem)|
|Date of creation||2013-03-22 13:38:32|
|Last modified on||2013-03-22 13:38:32|
|Last modified by||matte (1858)|