What is the point of a partial order? a. We would like to generalize the properties of the relation x=yx=y to objects that are "basically the same," if not necessarily equal. b. We would like to generalize the properties of the relation x

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What is the point of a partial order?

a.

We would like to generalize the properties of the relation x=yx=y to objects that are "basically the same," if not necessarily equal.

b.

We would like to generalize the properties of the relation x<yx<y to objects that do not naturally satisfy a total order in the way that numbers do.

c.

We would like to generalize the properties of the relation x≤yx≤y to objects that do not naturally satisfy a total order in the way that numbers do.

d.

There is no point. We make up mathematical objects for fun.

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