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denimalpaca comments on Double Crux — A Strategy for Resolving Disagreement - Less Wrong

61 Post author: Duncan_Sabien 29 November 2016 09:23PM

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Comment author: denimalpaca 09 March 2017 10:51:13PM 0 points [-]

This looks like a good method to derive lower-level beliefs from higher-level beliefs. The main thing to consider when taking a complex statement of belief from another person, is that it is likely that there is more than one lower-level belief that goes into this higher-level belief.

In doxastic logic, a belief is really an operator on some information. At the most base level, we are believing, or operating on, sensory experience. More complex beliefs rest on the belief operation on knowledge or understanding; where I define knowledge as belief of some information: Belief(x) = Knowledge_x. These vertices of knowledge can connect along relational edges to form a graph, of which a subset of vertices and edges could be said to be an understanding.

So I think it's not only important to use this method as a reverse-operator of belief, but to also take an extra step and try to acknowledge the other points on the knowledge graph that represent someone's understanding. Then these knowledge vertices can also be reverse-operated on, and a more complete formulation of both parties' maps can be obtained.