Three examples of the new kind of mathematics that one group I have Googled-upon [see my post "Psycho-History Accomplished? -- A Review" for more details] proposes as a mathematical language for "Psycho-Historical Modeling", can be viewed via the following links:
1. "Psycho-Historical Mathematical Model of the psycho-history "human social formation" beginning from primitive foraging bands -- Pictorial:
www.adventures-in-dialectics.org . . .
-- Slides 47 to 53 --
1. Narrative and "Formulaic" rendering of the same model:
www.dialectics.org . . .
1. Both Narrative/"Formulaic" & Pictorial rendering:
www.adventures-in-dialectics.org . . .
2. "Psycho-Historical Mathematical Model" of the "Meta-Evolution" of Economic Forms, beginning with the "Appropriation of the Products of Nature "Raw", without improvement, for human consumption, by human labor [i.e., "predation"], and progressing to Money and beyond -- Pictorial rendering --
www.adventures-in-dialectics.org . . .
-- Slides 53 to 57;
Narrative and "Formulaic" rendering --
www.dialectics.org . . .
3. "Psycho-Historical Mathematical Model" of the "Meta-Evolution" of the formations of Human Knowledge, beginning with "Mythopoeia", progressing through "Religion", "Philosophy", and "Science", and ending with "Psycho-History". That is, this Model claims to be a "Psycho-Historical Model" of the formation of Psycho-History Itself!
Pictorial --
www.adventures-in-dialectics.org . . .
-- slide number 101 -- Narrative and Formulaic --
www.dialectics.org . . .
-- narrtive rendering starts on page B-9, labeled "Example 1."
All of these models are expressed in terms of the "simplest" "rules-system" and symbology for "Psycho-Historical Algebra", which is described as a "Contra-Boolean Algebra" and also as a "Non-Standard Model" of the "Natural Arithmetic" of the set N = {1, 2, 3, ...}.
But they also present a progression of systems of "Psycho-Historical Algebra", each one capable of more detailed, more complex, more concrete description than its predecessor(s), of which this "simplest" "Contra-Boolean Algebra" is merely the first.
However, a "Psycho-Historical Model" of this progression of systems of "Psycho-Historical Mathematics" is also given, and it is written using the symbols and the rules of this first, "simplest" system of "Psycho-Historical Mathematics" -- this "Contra-Boolean Algebra".
