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Greatest element: Quiz

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Question 1: In R² with the ________, this set has upper bounds, e.g.
Lexicographical orderString (computer science)Partially ordered setTotal order

Question 2: In ________, especially in order theory, the greatest element of a subset S of a partially ordered set (poset) is an element of S which is greater than or equal to any other element of S.
Mathematical logicMathematicsGeometrySet theory

Question 3: This example also demonstrates that the existence of a ________ (the number 0 in this case) does not imply the existence of a greatest element either.
SupremumOrder theoryComplete latticeInfimum







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