Third Axiom
This is the assumption of σ-additivity:
- Any countable sequence of pairwise disjoint (synonymous with mutually exclusive) events satisfies
Some authors consider merely finitely additive probability spaces, in which case one just needs an algebra of sets, rather than a σ-algebra.
Read more about this topic: Probability Axioms
Famous quotes containing the word axiom:
“Its an old axiom of mine: marry your enemies and behead your friends.”
—Robert N. Lee. Rowland V. Lee. King Edward IV (Ian Hunter)
“The writer who neglects punctuation, or mispunctuates, is liable to be misunderstood.... For the want of merely a comma, it often occurs that an axiom appears a paradox, or that a sarcasm is converted into a sermonoid.”
—Edgar Allan Poe (18091845)