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  2. Quizlet - Wikipedia

    en.wikipedia.org/wiki/Quizlet

    Quizlet made its first acquisition in March 2021, with the purchase of Slader, which offered detailed explanations of textbook concepts and practice problems, and eventually incorporated it into its paid platform, Quizlet Plus. [20] [21] [22] In November 2022, Quizlet announced a new CEO, Lex Bayer, the former CEO of Starship Technologies. [23]

  3. Law of noncontradiction - Wikipedia

    en.wikipedia.org/wiki/Law_of_noncontradiction

    In logic, the law of non-contradiction (LNC) (also known as the law of contradiction, principle of non-contradiction (PNC), or the principle of contradiction) states that contradictory propositions cannot both be true in the same sense at the same time, e. g. the two propositions "the house is white" and "the house is not white" are mutually exclusive.

  4. American Invitational Mathematics Examination - Wikipedia

    en.wikipedia.org/wiki/American_Invitational...

    The competition consists of 15 questions of increasing difficulty, where each answer is an integer between 0 and 999 inclusive. Thus the competition effectively removes the element of chance afforded by a multiple-choice test while preserving the ease of automated grading; answers are entered onto an OMR sheet, similar to the way grid-in math questions are answered on the SAT.

  5. Question answering - Wikipedia

    en.wikipedia.org/wiki/Question_answering

    Accepting natural language questions makes the system more user-friendly, but harder to implement, as there are a variety of question types and the system will have to identify the correct one in order to give a sensible answer. Assigning a question type to the question is a crucial task; the entire answer extraction process relies on finding ...

  6. Logical reasoning - Wikipedia

    en.wikipedia.org/wiki/Logical_reasoning

    Deductive reasoning plays a central role in formal logic and mathematics. [1] In mathematics, it is used to prove mathematical theorems based on a set of premises, usually called axioms. For example, Peano arithmetic is based on a small set of axioms from which all essential properties of natural numbers can be inferred using deductive reasoning.

  7. Deductive reasoning - Wikipedia

    en.wikipedia.org/wiki/Deductive_reasoning

    Descartes' background in geometry and mathematics influenced his ideas on the truth and reasoning, causing him to develop a system of general reasoning now used for most mathematical reasoning. Similar to postulates, Descartes believed that ideas could be self-evident and that reasoning alone must prove that observations are reliable.

  8. Automated theorem proving - Wikipedia

    en.wikipedia.org/wiki/Automated_theorem_proving

    This was the first automated deduction system to demonstrate an ability to solve mathematical problems that were announced in the Notices of the American Mathematical Society before solutions were formally published. [citation needed] First-order theorem proving is one of the most mature subfields of automated theorem proving. The logic is ...

  9. Proportional reasoning - Wikipedia

    en.wikipedia.org/wiki/Proportional_reasoning

    Typical Solutions. Someone with knowledge about the area of triangles might reason: "Initially the area of the water forming the triangle is 12 since ⁠ 1 / 2 ⁠ × 4 × 6 = 12. The amount of water doesn't change so the area won't change. So the answer is 3 because ⁠ 1 / 2 ⁠ × 3 × 8 = 12." A correct multiplicative answer is relatively rare.