in reply to Re^3: A "but" operator.
in thread A "but" operator.
I think you are trying to say a "but" operator is equivalent "not and" operator and that !(A->B) is equivalent to "but". I am assuming that "!" symbolizes the negation operator and "->" symbolized the if-then ( or implies ) operator.
Yet ...
P | Q | P->Q |
---|---|---|
T | T | T |
T | F | F |
F | T | T |
F | F | T |
P | Q | P and Q | !(P and Q) |
---|---|---|---|
T | T | T | F |
T | F | F | T |
F | T | F | T |
F | F | F | T |
As far a what a but operator is I would say it should be equivalent to the "Boolean And" operator. And is not needed in a programming language. The word "but" is used in commonly to emphasis that an assumption is false. Example ...
If a student where to errorously assume that multiplaction is the same as addition the student might state ... 1 + 1 = 2 and 2 + 2 = 4 and 2 * 2 = 4 and 1 * 1 = 2 ... which we know to be false. The student's teacher would say ... 1 + 1 = 2 and 2 + 2 = 4 and 2 * 2 = 4 but 1 * 1 != 2 ... to correct the student. This is the same as 1 + 1 = 2 and 2 + 2 = 4 and 2 * 2 = 4 and 1 * 1 != 2 T and T and T and T is TRUE It is not equal to 1 + 1 = 2 and 2 + 2 = 4 and 2 * 2 = 4 and not (1 * 1 != 2) T and T and T and F is FALSE
But merely gives emphasis to the fact that the student's assumption is false.
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