[Inquiry] Re: Futures Of Logical Graphs

[Jon Awbrey]

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FOLG.  Note 13

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Cybernetics List, Peirce List,

The more Peirce-systent among you, on contemplating
that last picture, will 1st or 2nd or 3rd-naturally
ask, "What happened to the irreducible 3-adicity of
sign relations in this portrayal of logical graphs?"

` ` ` ` ` ` ` ` ` ` ` ` ` ` ` ` ` ` ` ` ` ` ` ` ` ` ` ` ` ` `
` ` ` ` ` ` ` ` ` ` ` ` ` ` ` ` ` ` ` ` ` Y ` ` ` ` ` ` ` ` `
` ` ` ` ` ` ` ` ` ` ` ` ` ` ` ` ` `Semiotic Domain` ` ` ` ` `
` ` ` ` ` ` ` ` ` ` ` ` ` ` ` ` o-------------------o ` ` ` `
` ` ` ` ` ` ` ` ` ` ` ` ` ` ` ` | ` ` ` ` ` ` ` ` ` | ` ` ` `
` ` ` ` ` ` ` ` ` ` ` ` ` ` ` ` | ` Rooted  Trees ` | ` ` ` `
` ` ` ` ` ` ` ` ` ` ` ` ` ` ` ` | ` ` ` ` ` ` ` ` ` | ` ` ` `
` ` ` ` ` ` ` ` ` ` ` ` ` ` ` ` o-------------------o ` ` ` `
` ` ` ` ` ` ` ` ` ` ` ` ` ` ` ` ` ` ` ` ` | ` ` ` ` ` ` ` ` `
` ` ` ` ` ` ` ` ` ` ` ` ` ` ` ` ` ` ` ` ` | ` ` ` ` ` ` ` ` `
` ` ` ` ` ` ` ` ` ` ` ` ` ` ` ` ` ` ` Syntactic ` ` ` ` ` ` `
` ` ` ` ` ` ` ` ` ` ` ` ` ` ` ` ` ` ` Reduction ` ` ` ` ` ` `
` ` ` ` ` ` ` ` ` ` ` ` ` ` ` ` ` ` ` ` ` | ` ` ` ` ` ` ` ` `
` ` ` ` ` ` ` ` ` ` ` ` ` ` ` ` ` ` ` ` ` | ` ` ` ` ` ` ` ` `
` ` ` ` ` ` ` ` ` ` ` ` ` ` ` ` ` ` ` ` ` v ` ` ` ` ` ` ` ` `
` ` ` ` o-----------o ` ` En_sem` ` o-----------o ` ` ` ` ` `
` ` ` ` | ` ` ` ` ` |<--------------| ` ` ` o ` | ` ` ` ` ` `
` ` ` ` | ` F ` T ` | ` ` ` ` ` ` ` | ` O ` | ` | ` ` ` ` ` `
` ` ` ` | ` ` ` ` ` |<--------------| ` ` ` O ` | ` ` ` ` ` `
` ` ` ` o-----------o ` ` Ex_sem` ` o-----------o ` ` ` ` ` `
` ` ` ` ` ` ` X ` ` ` ` ` ` ` ` ` ` ` ` `Y_0` ` ` ` ` ` ` ` `
` ` ` ` ` ` ` ` ` ` ` ` ` ` ` ` ` ` ` Canonical ` ` ` ` ` ` `
` ` ` ` Object Domain ` ` ` ` ` ` ` `Sign Domain` ` ` ` ` ` `
` ` ` ` ` ` ` ` ` ` ` ` ` ` ` ` ` ` ` ` ` ` ` ` ` ` ` ` ` ` `

The answer is that the last bastion of 3-adic irreducibility presidios
precisely in the duality of the dual interpretations En_sem and Ex_sem.
To see this, consider the consequences of there being, contrary to all
that we've assumed up to this point, some ultimately compelling reason
to assert that the clean slate, the empty medium, the vacuum potential,
whatever you want to call it, is inherentlly more meaningful of either
Falsity or Truth.  This would issue in a conviction forthwith that the
3-adic sign relation involved in this case decomposes as a composition
of a couple of functions, that is to say, reduces to a 2-adic relation.

Remember the Alamo ...

Jon Awbrey

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inquiry e-lab: http://stderr.org/pipermail/inquiry/
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