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1. Equilibrium structure on Y(yi) with (yiyj), (y0y0)

2. Disturbance automata on a triangle with sets X,Y,Z

3. 5 Bonding operations (xy,yx,zy,yz,yy) defaulting to (xy,yx,yy) without Z.

4. 4 local neigbourhoods (xyx,xyz,zyx,zyz) defaulting to (xyx) without Z.

5. Mind characteristics defined as Bond/Neighbourhood cardinality.  

eg B/N=5/4 for humans, 4/4 for social animals, 3/1 for non social

5. Incomplete neighbourhoods with 2 or less disturbances can be classified as

       a. Subthreshold when third component of tuple does not appear eg zy.

       b. Spontaneous when first component of tuple does not appear. eg .yx

       c. Spontaneous and subthreshold when only one component exists. eg .y.

5. Trail Transitions via 5 operations.  eg

 xyzx@xzyx=xyyx+xzyx (yy, 2@3=1)  

xzx→xzyx    x1y1x1@x2z2y2x2=x1y2x2+x2z2y2x2  (xy,1@3=1) (Imitation)

z1y1x1@x2y2x2=z1y2x2+x2y2x2 (zy,3@1=3)  (Classical Conditioning)

6. Potential Transitions= BxNxN  eg 5x4x4=80 (Actually 56)

6. (yy) operation comparable to (1 state,16 symbol) simple TM

7. (5 operations) comparable to (1 state, 56 symbol) simple Turing Machine.

 

xy Bonding (top/left)

	xyx=1	xyz	zyx	zyz
xyx	x1y2x2=1	x1y2z2=2	x1y2x=1	x1y2z2=2
xyz	x1y2x2=1	2	1	2
zyx	z1y1(x1y2x2)=1	z1y1(x1y2z2)=2	z1y1(x1y2x2)=1	z1y1(x1y2z2)=2
zyz	-	-	-	-

 

yx Bonding (right/top)

	xyx	xyz	zyx	zyz
xyx	(x1y1x2)y2x2=1	(x1y1x2)y2z2=1	-	-
xyz	(x1y1x2)y2x2=1	1	-	-
zyx	(z1y1x2)y2x2=3	3	-	-
zyz	(z1y1x2)y2x2=3	3	-	-

 

zy Bonding (bottom/left)

	xyx	xyz	zyx	zyz
xyx	-	-	-	-
xyz	x1y1(z1y2x2)=3	x1y1(z1y2z2)=4	x1y1(z1y2x2)=3	x1y1(z1y2z2)=4
zyx	3	4	4	4
zyz	3	3	3	3

 

yz Bonding (bottom/right)

	xyx	xyz	zyx	zyz
xyx	-	-	(x1y1z2)y2x2=2	(x1y1z2y)2z2=2
xyz	-	-	2	2
zyx	-	-	(z1y1z2)y2x2=4	(z1y1z2)y2z2=4
zyz	-	-	4	4

 

yy Bonding (centre)

	1	2	1	2
	1	2	1	2
	3	4	3	4
	3	4	3	4.

 

All Bonding

	1	1	1	......	2	2	2	.....	3	3	3	.......	4	4	4	Total
1	1.....		....1		2...		1....		1....				2...			6
1		1.......				...2				.....1				... 2...		4
1											..2..				...2..	2
.....	.........	........	......	.......	........	......	.......	.....	.......	........	.......	.......	........	........	.....
2	1....		....1		2...		1....		1.....				2...			6
2		...1....				2...				..1....				...2...		4
2	..3..				...4...				...3.		..2..		.. 4..		..2..	6
.....	.......	........	......	.......	........	.......	.......	......	......	........	.......	.......	.......	.........	......
3	1.....		3.....		2....		3.....		1....				2...			6
3		.......3				4....				3.....				4....		4
3	..3..				...4..				..3..		..4..		..4..		..4..	6
......	.......	........	......	.......	.......	.......	.......	.....	.......	.......	.......	......	.......	.......	......
4			....3.				...3									2
4		...3....				4....				3....				4.....		4
4	.....3.			.......	...4..			.....	..3...		..4...	.......	..4..		..4..	6
Total	6	4	4		6	4	4		6	4	4		6	4	4	24+32=56

 

Code

xy=12=3/14		yx=8=2/14	20
	yy=16=4/14		16
zy=12=3/14		yz=8=2/14	20
24	16	16	56

 

Bonding Rules

Bond	Head subset	Tail Sets
xy	(12)(34)	(13)(24)
zy	(12)(34)	(13)(24)
yy	(12) (34)	(13)(24)
yx	(12)(34)	(1) (3)
yz	(12)(34)	(2)(4)

 

 

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