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the logical hierarchy
#4
tommy1729 Wrote:but some people always insist on

a + b

a * b

a ^ b

which is wrong.

Its not wrong its a different hierarchy.

It follows the pattern: a[n+1](b+1)=a[n](a[n+1]b)
where [n] is the the nth operation.
For example:
a[2](b+1)=a[1](a[2]b) which corresponds to a*(b+1)=a+a*b
a[3](b+1)=a[2](a[3]b) which corresponds to a^(b+1)=a*(a^b)
and so tetration [4] satisfies:
a[4](b+1)=a[3](a[4]b)
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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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