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2. Opposite - Wikipedia

   en.wikipedia.org/wiki/Opposite

   Complementary antonyms are word pairs whose meanings are opposite but whose meanings do not lie on a continuous spectrum (push, pull). Relational antonyms are word pairs where opposite makes sense only in the context of the relationship between the two meanings (teacher, pupil). These more restricted meanings may not apply in all scholarly ...

3. Converse (semantics) - Wikipedia

   en.wikipedia.org/wiki/Converse_(semantics)

   Converses can be understood as a pair of words where one word implies a relationship between two objects, while the other implies the existence of the same relationship when the objects are reversed. [3] Converses are sometimes referred to as complementary antonyms because an "either/or" relationship is present between them. One exists only ...

4. Glossary of mathematical jargon - Wikipedia

   en.wikipedia.org/wiki/Glossary_of_mathematical...

   A proof by example is an argument whereby a statement is not proved but instead illustrated by an example. If done well, the specific example would easily generalize to a general proof. by inspection A rhetorical shortcut made by authors who invite the reader to verify, at a glance, the correctness of a proposed expression or deduction.

5. Dual (category theory) - Wikipedia

   en.wikipedia.org/wiki/Dual_(category_theory)

   In category theory, a branch of mathematics, duality is a correspondence between the properties of a category C and the dual properties of the opposite category C op.Given a statement regarding the category C, by interchanging the source and target of each morphism as well as interchanging the order of composing two morphisms, a corresponding dual statement is obtained regarding the opposite ...

6. Proof by contradiction - Wikipedia

   en.wikipedia.org/wiki/Proof_by_contradiction

   A typical example is the proof of the proposition "there is no smallest positive rational number": assume there is a smallest positive rational number q and derive a contradiction by observing that ⁠ q / 2 ⁠ is even smaller than q and still positive.

7. NYT ‘Connections’ Hints and Answers Today, Sunday, December 15

   www.aol.com/nyt-connections-hints-answers-today...

   Related: The 26 Funniest NYT Connections Game Memes You'll Appreciate if You Do This Daily Word Puzzle. Hints About Today's NYT Connections Categories on Sunday, December 15. 1. These are commonly ...