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  2. 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.

  3. Inductive probability - Wikipedia

    en.wikipedia.org/wiki/Inductive_probability

    Inductive inference is related to generalization. Generalizations may be formed from statements by replacing a specific value with membership of a category, or by replacing membership of a category with membership of a broader category. In deductive logic, generalization is a powerful method of generating new theories that may be true.

  4. Induction puzzles - Wikipedia

    en.wikipedia.org/wiki/Induction_puzzles

    The muddy children puzzle is the most frequently appearing induction puzzle in scientific literature on epistemic logic. [4] [5] [6] Muddy children puzzle is a variant of the well known wise men or cheating wives/husbands puzzles. [7] Hat puzzles are induction puzzle variations that date back to as early as 1961. [8]

  5. Inductive reasoning - Wikipedia

    en.wikipedia.org/wiki/Inductive_reasoning

    Inductive reasoning is any of various methods of reasoning in which broad generalizations or principles are derived from a body of observations. [1] [2] This article is concerned with the inductive reasoning other than deductive reasoning (such as mathematical induction), where the conclusion of a deductive argument is certain, given the premises are correct; in contrast, the truth of the ...

  6. Wason selection task - Wikipedia

    en.wikipedia.org/wiki/Wason_selection_task

    The Wason selection task (or four-card problem) is a logic puzzle devised by Peter Cathcart Wason in 1966. [1] [2] [3] It is one of the most famous tasks in the study of deductive reasoning. [4] An example of the puzzle is: You are shown a set of four cards placed on a table, each of which has a number on one side and a color on the other.

  7. Deduction and induction - Wikipedia

    en.wikipedia.org/wiki/Deduction_and_induction

    Deductive reasoning; Inductive reasoning; Validity (logic) Cogency (disambiguation) This page was last edited on 21 May 2020, at 12:06 (UTC). Text is available under ...

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