Section 53 Aggregating and filtering beliefs

  • How to combine multiple such fragments? (this is QuIP bread-and-butter)
    • e.g. if source P believes A (completely) causes B and that B (completely) causes C, do we know that they believe that also A (completely) causes C? It’s a logical consequence, but how rational can we assume our sources to be?
    • (Fiona’s problem) e.g. if source P believes that A (completely) causes B and source Q believes that B (completely) causes C, can we conclude anything about A and C? In other words, if one source tells me about one arrow in a chain, and another tells me about another which links with it, who told us about the whole chain?
    • (Generalisation problem) e.g. if source P believes A (completely) causes B, can we conclude anything about what some larger population believes?
  • How to summarise multiple such fragments?
    • In particular:
      • How do we combine different overlapping statements in which we have different degrees of trust? See xx