(Text as at 12/08/2007 10:17:46)

**A requirement of great importance, therefore, is the ability to assign a probability to any statement about the world (or within a model), in accord with the likelihood of it being a true statement.**

- Ideally
^{1}, we would like to assign a mathematical probability to any statement, ie. a real number in the range 0 to 1, with 0 representing impossibility & 1 representing certainty. As in the frequency theory of probability, the assigned number should represent the proportion of situations in which the statement is expected to turn out to be true. - In practical
^{2}life, where it is unreasonable to assign a numerical probability to an event, we do assign non-mathematical probabilities to statements and base our actions on them. - It also makes sense to say that certain statements are more probable than others, even when they do not refer to the same domain
^{3}of experience. - It would seem to be possible to assign a priori
^{4}probabilities to statements about the world, the probability being assigned a priori to that particular potential experience, by reference to other actual experiences, though not a priori to all experience. - A statement with a low a priori probability may yet have a higher a posteriori probability because of the strength of actual testimony or experimental evidence.

Note last updated | Reference for this Topic | Parent Topic |
---|---|---|

12/08/2007 10:17:46 | 220 (Probability) | Certainty |

Probability - A Priority | Probability - Cross-Domain | Probability - Issues | Probability - Practicality |

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Certainty | Probability |

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Author |
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Todman (Theo) | Thesis - Probability | Paper | Yes |

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