Message-ID: <Pine.NEB.4.40.0111191911220.10568-100000@panix1.panix.com>
From: Alan Sondheim <sondheim@panix.com>
To: CYBERMIND@LISTSERV.AOL.COM
Subject: musing sheffer stroke and its dual thinking of nicod:
Date: Mon, 19 Nov 2001 19:11:37 -0500
- musing sheffer stroke and its dual thinking of nicod: (())(()) * = intersection = (()) v ))(( u = union = ()() v )()( v )(() v ())( a = ( v (((( b = ) v )))) -a = (( v (( (( (( (( I = ( (( ( (( 0 = ( ( (( (( * & 0 reduce equally; u & I reduce equally; a & b reduce equally; a & -a reduce equally. think of neutrality, aphanisis, substance; think of defuge. pattern i = (a, -a, 0, I); pattern ii = (a, b, u, *) the absolute ground: (())(()) ( (( v ) )) = implication/non-implication, tautology/contradiction "Since nothing in the environment corresponds to negation, negation as well as all other 'logical particles' (inclusion, alternation, implication, etc.) must arise within the organism as a consequence of perceiving the relation of itself with respect to the environment." (Heinz von Foerster, Thoughts and Notes on Cognition) Neither, neitherness, exclusionary union, tend elsewhere, Spencer Brown notwithstanding - but then elsewhere implies the presence of border, maintenance, inscription in the first place. (Culled from Structure of Reality, 1977.) _