Is ((A and B) and (C and D)) and ((E and F) and (G and H)) equivalent to (A and B and C and D and E and F and G and H)?
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Anonymous2009-09-26 12:37
Yes
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Anonymous2009-09-26 12:38
Conjunctions are associative if that's what you're asking. More formally though, the phrase on the right doesn't have enough parentheses to have a logical meaning.
The logical meaning is entirely unambiguous in this context - clearly the phrase is shorthand for something like
((A and B) and C) ...
Name:
Anonymous2009-09-26 15:31
>>5
Could also be "something like" A and (B and (C and (...
The logical meaning is only unambiguous because conjunctions are associative, which is exactly what he was asking.
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Anonymous2009-09-26 16:30
Needs moar parenthesis
((((((((((A and ((((((((((B and ((((((((((C and ((((((((((D and ((((((((((E and ((((((((((F and ((((((((((G and ((((((((((H))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))