A strict order is a binary relation that is irreflexive and transitive, meaning that no element is related to itself, and if one element is related to a second, and the second is related to a third, then the first is related to the third. This concept is important for understanding how elements can be organized or compared in a way that establishes a clear hierarchy or ranking among them. In strict orders, the absence of reflexivity ensures that each relationship indicates a true ordering without any ties.
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