13 Aug
2015
13 Aug
'15
4:11 p.m.
On 13/08/2015 04:15, Keith F. Lynch wrote:
"Adam P. Goucher" <apgoucher@gmx.com> wrote:
I had a simpler example in mind, namely one that follows from *only* the following facts about algebraic numbers:
-- The algebraic numbers form a field of characteristic zero; -- x and exp(x) cannot both be algebraic.
As did I. The solution I was thinking of is the unique real solution to x = exp(-x). Approximately 0.5671432.
I suspect Adam was thinking of something more like 2 + log 2 -> 2 exp 2, which feels like a much more elementary (and explicit) example to me. -- g