the logical hierarchy
#3
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


Messages In This Thread
the logical hierarchy - by tommy1729 - 02/08/2009, 04:16 PM
RE: the logical hierarchy - by bo198214 - 02/08/2009, 10:25 PM
RE: the logical hierarchy - by tommy1729 - 02/08/2009, 10:45 PM
RE: the logical hierarchy - by bo198214 - 02/08/2009, 10:53 PM

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