I am studying set theory and I came across various definitions like equivalence relations, partial order relations, antisymmetric and many more. I am aware mathematicians don't care about real life applications but still - why are we defining so many relations? What is the use of defining equivalence relations, posets, maximal element etc.(adsbygoogle = window.adsbygoogle || []).push({});

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# Why define equivalence relations, posets etc.

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