**From:** pdugan (*pdugan@vt.edu*)

**Date:** Wed Jan 25 2006 - 21:07:59 MST

**Next message:**Mikko Särelä: "Re: Syllabus for Seed Developer Qualifications [WAS Re: Some considerations about AGI]"**Previous message:**Ben Goertzel: "Re: My definitions of Intelligence, Consciousness, Mathematics and Universal Values"**Maybe in reply to:**Marc Geddes: "My definitions of Intelligence, Consciousness, Mathematics and Universal Values"**Next in thread:**Marc Geddes: "Re: My definitions of Intelligence, Consciousness, Mathematics and Universal Values"**Messages sorted by:**[ date ] [ thread ] [ subject ] [ author ] [ attachment ]

*>===== Original Message From Ben Goertzel <ben@goertzel.org> =====
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*>Marc,
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*>
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*>Inconsistentism also seems to tie in with G. Spencer Brown's notion of
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*>modeling the universe using "imaginary logic", in which contradiction
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*>is treated as an extra truth value similar in status to true and
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*>false.
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*>
*

Interestingly, the most promising pointer to a proof of Riemann's hypothesis

lies in proving the theorem R[s] = 1/2 a contradiction, that is undecidable.

The nature of the hypothesis hinges on a non-commutative logic, so if the

theorem is unprovable then its true, because if it were false it would be

disprovable.

Riemann's hypothesis is a sort of statement of consistency for number

theory, and thus mathmatics in general. Yet, it can't be proven true in a

time-ful perspective, there'll always be more zeroes ahead. In a timeless

sense, it can be proven by a sort of imaginary logic. It strikes me that this

is a reversal of Brown's distinction, where the timeless is consistent and the

the timeful is not.

Patrick Dugan

**Next message:**Mikko Särelä: "Re: Syllabus for Seed Developer Qualifications [WAS Re: Some considerations about AGI]"**Previous message:**Ben Goertzel: "Re: My definitions of Intelligence, Consciousness, Mathematics and Universal Values"**Maybe in reply to:**Marc Geddes: "My definitions of Intelligence, Consciousness, Mathematics and Universal Values"**Next in thread:**Marc Geddes: "Re: My definitions of Intelligence, Consciousness, Mathematics and Universal Values"**Messages sorted by:**[ date ] [ thread ] [ subject ] [ author ] [ attachment ]

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