Hazard

Worried that I might already be a post-rationalist. I'm very interested in minimizing miscommunication, and helping people through the uncanny valley of rationality. Feel free to pm me about either of those things.

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Toy model piece #1: Partial preferences revisited

For cycles, it looks like the projection to is akin to taking all the worlds that form a given cycle, and compressing them into a single world.

In your example, it's true and when . That's the condition for equivalence in the project, so you have that . If you're thinking about the ordering as a directed graph, you can collapse those worlds to a single point and not mess up the ordering.