Differential Propositional Calculus • 24
•
https://inquiryintoinquiry.com/2023/12/16/differential-propositional-calcul…
Example 1. A Square Rigging —
| Urge and urge and urge,
| Always the procreant urge of the world.
| — Walt Whitman • Leaves of Grass
Returning to the universe of discourse based on
a single feature A, suppose we are given the
initial condition
• A = dA
and the second order differential law
• d²A = (A)
where we use the notation (A) for ¬A.
Since the equation A = dA is logically equivalent to
the disjunction A dA ∨ (A)(dA) there are two possible
trajectories, as shown in the following Table.
Table. A Pair of Commodious Trajectories
•
https://inquiryintoinquiry.files.wordpress.com/2023/12/differential-logic-e…
In either case the state A (dA)(d²A) is a stable attractor
or terminal condition for both starting points.
Resources —
Differential Logic and Dynamic Systems
•
https://oeis.org/wiki/Differential_Logic_and_Dynamic_Systems_%E2%80%A2_Part…
Differential Logic • A Square Rigging
•
https://oeis.org/wiki/Differential_Logic_and_Dynamic_Systems_%E2%80%A2_Part…
Regards,
Jon
cc:
https://www.academia.edu/community/LgJXvV