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概率沉思錄：2.The quantitative rules

2022-07-23 13:39:54【UniversalNature】

2.The quantitative rules

  • We have now formulated our problem, and it is a matter of straightforward mathematics to work out the consequences of our desiderata, which may be stated broadly as follows:
    • (I) Representation of degrees of plausibility by real numbers;
    • (II) Qualitative correspondence with common sense;
    • (III) Consistency.

2.1.The product rule

  • ( A B ∣ C ) = F [ ( B ∣ C ) , ( A ∣ B C ) ] (AB|C)=F[(B|C),(A|BC)] (AB∣C)=F[(B∣C),(A∣BC)]

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