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What does it mean?

2007-08-30 07:53:27 · 2 answers · asked by anthonypaullloyd 5 in Science & Mathematics Mathematics

Not set theory, but logic (but as logic supposedly reduces to set theory then, yes! set theory).

I think I understand. Would it be correct to say that "truth" is closed under conjuction but probability is? ie if P is true and Q is true then "P&Q" is true but if P is probable and Q is probable "P&Q" may not be probable?

2007-08-30 08:33:53 · update #1

2 answers

It sounds like you are talking about sets.

Take two elements of the set, 'h' and 'k'. Perform the operation "conjunction" on them (whatever that operation might be), and you get another element 's'.

The set is called "closed under conjunction" if the conjunction of any two elements in the set results in another element in the set. That is, hCk (the conjuction of h and k, elements of set S) is also an element of S.

2007-08-30 08:04:48 · answer #1 · answered by Mathsorcerer 7 · 2 0

You sure it isn't "Closed. Under construction?" Conjunction means "the state of being joined together", which doesn't make sense.
Possibly someone has made an error with the wording.

2007-08-30 08:04:34 · answer #2 · answered by champer 7 · 1 0

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