概率沉思录：2.The quantitative rules

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

• $(AB|C)=F[(B|C),(A|BC)]$