P*(θ) is a nonlinear, piecewise continuous function with 3 regimes corresponding to the edges, and 3 discontinuities, corresponding to the vertices. Think of these edges as 3 tires where rubber meets road.
A logical thought curve will be continuous. An intuitive one will jump around. An “Aha!” will be a big discontinuous jump inward (more poiesis). An “UnAha!” (falsification) will be a big discontinuous jump outward. Here’s an old post on UnAha! experiences:https://www.ribbonfarm.com/2008/03/05/unaha/ …
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A theory-to-practice thought trail will be an arrow heading out. An example-to-generalization will head the other way. Triangle contours = consistent time perception. Going mad is a terminal inward spiral. Rejoining humanity from the depths of madness is an outward spiral.
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Anyhow, there you go. I may write this all up as a post, but if not this thread is it. This might interest
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