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  2. 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 ...

  3. Opposite-colored bishops endgame - Wikipedia

    en.wikipedia.org/wiki/Opposite-colored_bishops...

    The opposite-colored bishops endgame is a chess endgame in which each side has a single bishop and those ... Bg2 Kf6 3. Bh3 Kg5 4. Bg2 Kf4 5. Kc4! Bd4 6. Kd3 Bg1 7 ...

  4. Reductio ad absurdum - Wikipedia

    en.wikipedia.org/wiki/Reductio_ad_absurdum

    Reductio ad absurdum, painting by John Pettie exhibited at the Royal Academy in 1884. In logic, reductio ad absurdum (Latin for "reduction to absurdity"), also known as argumentum ad absurdum (Latin for "argument to absurdity") or apagogical argument, is the form of argument that attempts to establish a claim by showing that the opposite scenario would lead to absurdity or contradiction.

  5. Today’s NYT ‘Strands’ Hints, Spangram and Answers for ...

    www.aol.com/today-nyt-strands-hints-spangram...

    For every 3 non-theme words you find, you earn a hint. Hints show the letters of a theme word. If there is already an active hint on the board, a hint will show that word’s letter order.

  6. Opposite category - Wikipedia

    en.wikipedia.org/wiki/Opposite_category

    In category theory, a branch of mathematics, the opposite category or dual category C op of a given category C is formed by reversing the morphisms, i.e. interchanging the source and target of each morphism. Doing the reversal twice yields the original category, so the opposite of an opposite category is the original category itself.

  7. NYT ‘Connections’ Hints and Answers Today, Thursday, January 23

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

    4. RHYMES OF U.S. PRESIDENT NAMES: PAGAN, SMARTER, VIXEN, WIDEN. How'd you do? Up Next: - 15 Fun Games Like Connections to Play Every Day - Hints, Clues and Answers to the NYT's 'Mini Crossword ...

  8. Kelly Ripa Says Husband Mark Consuelos ‘Shamed’ Her for ...

    www.aol.com/kelly-ripa-says-husband-mark...

    February 1, 2025 at 3:11 PM Jeff Kravitz/Getty Images Cohabitating with a partner can be difficult even if you’ve been together for many years, like Kelly Ripa and Mark Consuelos , who tied ...

  9. Paradox - Wikipedia

    en.wikipedia.org/wiki/Paradox

    A paradox is a logically self-contradictory statement or a statement that runs contrary to one's expectation. [1] [2] It is a statement that, despite apparently valid reasoning from true or apparently true premises, leads to a seemingly self-contradictory or a logically unacceptable conclusion.