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  2. Deep structure and surface structure - Wikipedia

    en.wikipedia.org/wiki/Deep_structure_and_surface...

    For example, the sentences "Pat loves Chris" and "Chris is loved by Pat" mean roughly the same thing and use similar words. Some linguists, Chomsky in particular, have tried to account for this similarity by positing that these two sentences are distinct surface forms that derive from a common (or very similar [ 1 ] ) deep structure.

  3. Transformational grammar - Wikipedia

    en.wikipedia.org/wiki/Transformational_grammar

    For example, in many variants of transformational grammar, the English active voice sentence "Emma saw Daisy" and its passive counterpart "Daisy was seen by Emma" would share a common deep structure generated by phrase structure rules, differing only in that the latter has its structure modified by a passivization transformation rule.

  4. Glossary of mathematical symbols - Wikipedia

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

    For example: "All humans are mortal, and Socrates is a human. ∴ Socrates is mortal." ∵ Abbreviation of "because" or "since". Placed between two assertions, it means that the first one is implied by the second one. For example: "11 is prime ∵ it has no positive integer factors other than itself and one." ∋ 1. Abbreviation of "such that".

  5. List of logic symbols - Wikipedia

    en.wikipedia.org/wiki/List_of_logic_symbols

    Sometimes used for “relation”, also used for denoting various ad hoc relations (for example, for denoting “witnessing” in the context of Rosser's trick). The fish hook is also used as strict implication by C.I.Lewis p {\displaystyle p} ⥽ q ≡ ( p → q ) {\displaystyle q\equiv \Box (p\rightarrow q)} .

  6. List of unsolved problems in mathematics - Wikipedia

    en.wikipedia.org/wiki/List_of_unsolved_problems...

    Many mathematical problems have been stated but not yet solved. These problems come from many areas of mathematics, such as theoretical physics, computer science, algebra, analysis, combinatorics, algebraic, differential, discrete and Euclidean geometries, graph theory, group theory, model theory, number theory, set theory, Ramsey theory, dynamical systems, and partial differential equations.

  7. Carville reflects on failed prediction that Harris would ...

    www.aol.com/carville-reflects-failed-prediction...

    Democratic political strategist James Carville, who has been openly critical of the Harris campaign since Democrats’ 2024 election losses, reflected on his failed prediction that Vice President ...

  8. College Football Playoff bracket picks, predictions: Who will ...

    www.aol.com/sports/college-football-playoff...

    Nearly seven years in the making, the expanded College Football Playoff will make its debut this season with Indiana at Notre Dame on Friday.. The 2024 college football season was rife with drama ...

  9. Impassibility - Wikipedia

    en.wikipedia.org/wiki/Impassibility

    For example, Zeus is famous for his lustfulness, Susano-o for his intemperance, and Balder for his joyousness and calm. Impassibility in the Western tradition traces back to ancient Greek philosophers like Aristotle and Plato , who first proposed the idea of God as a perfect, omniscient , timeless, and unchanging being not subject to human ...

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