Talk:Collectively exhaustive events

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I changed the P(head) = 0.5, P(tail)=0.5, and P(head)+P(tail)=1 explanation because it gives the wrong impression of what collectively exhaustive means. For instance, say you're picking an integer, x, less than or equal to 10. P(x is even) = 0.5, P(x<6) = 0.5, so P(x is even)+P(x<6)=1 but the two events aren't collectively exhaustive because odd numbers greater than or equal to 6 are never chosen. In fact, P(x is even OR x<6) = 0.8.

I added the section about the comparison of mutual exclusivity with colletive exhaustion. I did the same thing with the wikipedia stub on mutually exclusive and crossed referenced both articles with each other. I am not a professional mathematician, so if I have made an error in this update please correct it and I'll have no worries.

capitalist

I removed the stub tag from this article because its scope is narrow enough to justify the short length. capitalist 03:39, 6 September 2005 (UTC)[reply]

Quotation from Couturat 1914:23

The following appears as a footnote on page 23

"As Mrs. LADD·FRANKLlN has truly remarked (BALDWIN, Dictionary of Philosophy and Psychology, article "Laws of Tbought"), the principle of contradiction is not sufficient to define contradictories; the principle of excluded middle must be added which equally deserves the name of principle of contradiction. This is why Mrs. LADD-FRANKLIN proposes to call them respectively the principle of exclusion and the principle of exhaustion, inasmuch as, according to the first, two contradictory terms are exclusive (the one of the other); and, according to the second, they are exhaustive (of the universe of discourse)." (Louis Couturat, translated by Lydia Gillingham Robinson, 1914, The Algebra of Logic, The Open Court Publishing Company, Chicago and London.)

The above can be downloaded from googlebooks as a pdf. Am not sure what to do with this yet, except that the last paragraph looks quite wrong, especially from a historical perspective. The other place to look is Stephen Kleene 1952 Metamathematics. Or even way back into Boole etc in the ca 1850's. BillWvbailey (talk) 19:28, 1 September 2012 (UTC)[reply]

Removed History Section

I removed the history section because whoever wrote it was writing about the history of the term "mutually exclusive" when this Wiki entry is about "collectively exhaustive". For mutually exclusive events, go to that Wiki entry--we shouldn't be focusing on that concept in this entry. — Preceding unsigned comment added by 173.3.109.197 (talk) 16:06, 21 November 2012 (UTC)[reply]