Reflexive And Symmetric

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Originally Posted by Hartlw

The possible relations on {1.2.3} are:
{(1,1), (2,2), (3,3)}
{(1,2), (2,3), (1,3)}
{(2,1) (3,2), (3,1)}
{(1,1), (2,2), (3,3), (1,2), (2,3), (1,3)}
{(1,1), (2,2), (3,3), (2,1), (3,2), (3,1)}

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You missed a whole lot of the relations on .
There are possible relations.
Any subset of .
As I said you don't know what a relation is.

Quote:

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Originally Posted by Plato

You missed a whole lot of the relations on .
There are possible relations.
Any subset of .
As I said you don't know what a relation is.

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Not if 1,2,3 are integers, or you accept meaningless definitions which are really not relations. Frankly, I wavered on acceptable subsets. I don't believe they apply for the integers, depending on the definition of "relation," for example {(1,1), (1,2)}, but that's a topic for another discussion. In any event, your post 2 set is not a possible relation for the integers.

Quote:

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Originally Posted by Hartlw

Not if 1,2,3 are integers, or you accept meaningless definitions which are really not relations. Frankly, I wavered on acceptable subsets. I don't believe they apply for the integers, depending on the definition of "relation," for example {(1,1), (1,2)}, but that's a topic for another discussion. In any event, your post 2 set is not a possible relation for the integers.

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If then it is a relation in the integers.