Re: difference

Sorry, I am new to logical induction, a little
problem popped up as
follows,
A differs from B because A =~B
if A, B are sets, some members in A are not in B
then, can conclusion A=~B is incorrect,
what is the relation of A and B ?
Thanks

While the identity, A = A is certainly the same as saying
A = ~B, there is insufficient information to conclude
that some elements of A are not in B. Suppose, for
example that set A is the set of all car models beginning
with the letter K, and B the set of all car models
beginning with the letter L. Neither set has any element
in common--the sets are said to be disjoint. So if you
want to ask a question about the relation between any
two sets, you have be precise as to what you mean.
You need to know the fundamentals of set theory before
you can tallk about manipulating the symbols.

Tom
.

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