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  2. Logical reasoning - Wikipedia

    en.wikipedia.org/wiki/Logical_reasoning

    A well-known issue in the field of inductive reasoning is the so-called problem of induction. It concerns the question of whether or why anyone is justified in believing the conclusions of inductive inferences. This problem was initially raised by David Hume, who holds that future events need not resemble past observations. In this regard ...

  3. Abductive reasoning - Wikipedia

    en.wikipedia.org/wiki/Abductive_reasoning

    A Mastermind player uses abduction to infer the secret colors (top) from summaries (bottom left) of discrepancies in their guesses (bottom right).. Abductive reasoning (also called abduction, [1] abductive inference, [1] or retroduction [2]) is a form of logical inference that seeks the simplest and most likely conclusion from a set of observations.

  4. 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.

  5. 30 Math Puzzles (with Answers) to Test Your Smarts - AOL

    www.aol.com/30-math-puzzles-answers-test...

    These math puzzles with answers are a delightful challenge. The post 30 Math Puzzles (with Answers) to Test Your Smarts appeared first on Reader's Digest. 30 Math Puzzles (with Answers) to Test ...

  6. 10 Hard Math Problems That Even the Smartest People in the ...

    www.aol.com/10-hard-math-problems-even-150000090...

    Goldbach’s Conjecture. One of the greatest unsolved mysteries in math is also very easy to write. Goldbach’s Conjecture is, “Every even number (greater than two) is the sum of two primes ...

  7. Inference - Wikipedia

    en.wikipedia.org/wiki/Inference

    Inferences are steps in logical reasoning, moving from premises to logical consequences; etymologically, the word infer means to "carry forward". Inference is theoretically traditionally divided into deduction and induction , a distinction that in Europe dates at least to Aristotle (300s BCE).

  8. Mathematical induction - Wikipedia

    en.wikipedia.org/wiki/Mathematical_induction

    Mathematical induction is an inference rule used in formal proofs, and is the foundation of most correctness proofs for computer programs. [3] Despite its name, mathematical induction differs fundamentally from inductive reasoning as used in philosophy, in which the examination of

  9. Backward chaining - Wikipedia

    en.wikipedia.org/wiki/Backward_chaining

    An example of backward chaining. If X croaks and X eats flies – Then X is a frog; If X chirps and X sings – Then X is a canary; If X is a frog – Then X is green; If X is a canary – Then X is yellow; With backward reasoning, an inference engine can determine whether Fritz is green in four steps.

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