Thread: Shallow question on Partial Order

1) Can anyone give me an example of partial ordered relation but NOT total ordered?

2) BTW, is this a valid example:

(x,y) in {1,2,10,17,19,36}

x R y => x-y in Z*(positive integer)

Thank you for your help.

Originally Posted by ArezList

1) Can anyone give me an example of partial ordered relation but NOT total ordered?

2) BTW, is this a valid example:

(x,y) in {1,2,10,17,19,36}

x R y => x-y in Z*(positive integer)

Thank you for your help.

Subsets of a given set with inclusion as the order relation.

thank you and is there anything wrong about my example?