Sentence examples for basic axioms of probability from inspiring English sources

While the basic axioms of probability seem reasonably regarded in this way, this is much less clear for countable additivity, Reflection, and various other principles, whose violation leaves one open to a Dutch Book.

In the second half of the nineteenth century Dedekind proved that the basic axioms of arithmetic have, up to isomorphism, exactly one model, and that the same holds for the basic axioms of Real Analysis.

The epistemic models deploying support functions that we just presented above are compatible with the basic axioms of AGM.

In fact, N Brunner [18] has shown that any proof of (E) requires at least the basic axioms of Zermelo-Fraenkel (ZF) plus a form of the Axiom of Choice called the Axiom of Dependent Choices (DC), whereas R Mańka has shown in [19] that (C) holds wholly within (ZF).

Having made these declarations, we can now offer the 10 basic axioms of qualia science.

Kant formulated the basic axiom of the public law: "All actions relating to the right of other men are unjust if their maxim is not consistent with publicity".

The basic idea was developed by F.P. Ramsey (1928a, 182), who pointed out that if a subject's behaviour violated axioms of probability and preference, then "[h]e could have a book made against him by a cunning better and would then stand to lose in any event".

(For the axioms of probability, see the entry on interpretations of probability).

Like the axioms of first-order logic, the axioms of probability are quite weak (Howson and Urbach 1993; Christensen 2004).

Kyburg's logical probabilities do not satisfy the usual axioms of probability theory.

No substantive suppositions (other than the axioms of probability theory) have yet been introduced.