02/08/2009, 10:45 PM
bo198214 Wrote:Ya this hierarchy was already considered.
The main observation is that the real numbers with operations \( a+b \) and \( a*b \) are isomorphic to the positive real numbers with \( a*b \) and \( a^{\log(b)} \) (The isomorphism is \( \exp \)). I.e. we dont add really something new. Each two consecutive operations are isomorphic (i.e. behave completely the same as) to + and *.
right.
but some people always insist on
a + b
a * b
a ^ b
which is wrong.
glad we agree.
thread closed ?
regards
tommy1729