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This article was originally created by Jon Awbrey, but I have rewritten it completely. The term "Boolean domain" is legitimate: I have verified that it is used in this sense in computer science and in those parts of theoretical computer science that are essentially pure mathematics. The term "Boolean variable" is clearly legitimate in computer science.

The page protection can probably be removed now. --Hans Adler (talk) 04:33, 26 January 2008 (UTC)[reply]

Perhaps something should be added about the use of the blackboard bold B (${\displaystyle \mathbb {B} }$, U+1D539 𝔹) notation sometimes used to refer to this set. — Preceding unsigned comment added by George Makepeace (talk • contribs) 18:11, 29 March 2011 (UTC)[reply]

The generalisation section of this page states:

- The Boolean domain is replaced by the unit interval [0,1]
- NOT(x) is replaced with 1-x
- AND(x,y) is replaced with xy

However consider the case where x = 0.5. Here, NOT(x) = 0.5, and AND(x,NOT(x)) = 0.25; this is clearly a contradiction, since x and NOT(x) is always false.

It is most likely the case that the formulas only apply for independent events, however this is not mentioned on the page. It is noteworthy also, that the generalisation section also does not list any references, except other Wikipedia pages.

Whole Oats (talk) 01:29, 8 June 2020 (UTC)[reply]