• Mathematics and Plausible Reasoning is a two-volume book by the mathematician George Pólya describing various methods for being a good guesser of new...
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  • Plausible reasoning is a method of deriving new conclusions from given known premises, a method different from the classical syllogistic argumentation...
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    onemathematicalcat.org. Retrieved October 15, 2009. Pólya, G. (1954), Mathematics and Plausible Reasoning, Princeton University Press, hdl:2027/mdp.39015008206248...
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  • Thumbnail for Logical reasoning
    modus tollens. Deductive reasoning plays a central role in formal logic and mathematics. For non-deductive logical reasoning, the premises make their...
    70 KB (7,319 words) - 05:56, 28 October 2024
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    (1954), Mathematics and Plausible Reasoning Volume I: Induction and Analogy in Mathematics. George Pólya (1954), Mathematics and Plausible Reasoning Volume...
    198 KB (23,245 words) - 02:10, 25 November 2024
  • 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...
    70 KB (8,484 words) - 11:01, 2 November 2024
  • How to solve it Mathematics and Plausible Reasoning The study of heuristics in human decision-making was developed in the 1970s and the 1980s, by the...
    82 KB (8,975 words) - 07:07, 4 November 2024
  • This article is concerned with the inductive reasoning other than deductive reasoning (such as mathematical induction), where the conclusion of a deductive...
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  • doi:10.1007/PL00009307. Polya, G. (1954), Mathematics and Plausible Reasoning: Induction and analogy in mathematics, Princeton University Press, p. 138, ISBN 0-691-02509-6...
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  • Induction and Analogy in Mathematics. Mathematics and plausible reasoning. Vol. 1. Princeton. p. 120. Barbeau, Edward J. (2000). Mathematical fallacies...
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    ISBN 978-0-8176-8363-4. Polya, G. (1954). Mathematics and Plausible Reasoning: Induction and analogy in mathematics. Princeton University Press. ISBN 0-691-02509-6...
    15 KB (1,491 words) - 02:58, 19 November 2024
  • Borwein, Peter B. Borwein and Simon Plouffe. Borwein, Jonathan; Bailey, David (2004). Mathematics by Experiment: Plausible Reasoning in the 21st Century. A...
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  • Thumbnail for Abductive reasoning
    of the 19th century. Abductive reasoning, unlike deductive reasoning, yields a plausible conclusion but does not definitively verify it. Abductive conclusions...
    76 KB (9,958 words) - 10:10, 13 November 2024
  • Thumbnail for George Pólya
    George Pólya (category Mathematics popularizers)
    and Plausible Reasoning (Volume I: Induction and Analogy in Mathematics, and Volume II: Patterns of Plausible Inference), and Mathematical Discovery: On...
    18 KB (1,782 words) - 06:19, 3 November 2024
  • Thumbnail for Napkin ring problem
    Napkin ring problem (category Japanese mathematics)
    hole. Pólya, George (1990), Mathematics and Plausible Reasoning, Vol. I: Induction and Analogy in Mathematics, Princeton University Press, pp. 191–192...
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  • Patterns and Symmetry. Dover Publications. p. 141. ISBN 978-0-486-83654-6. Polya, G. (1954). Mathematics and Plausible Reasoning: Induction and analogy...
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  • commonsense reasoning involves plausible reasoning. It requires coming to a reasonable conclusion given what is already known. Plausible reasoning has been...
    27 KB (3,128 words) - 12:57, 25 July 2024
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    Analogy (redirect from Analogical reasoning)
    Holyoak, K.J., and Thagard, P. (1997). The Analogical Mind. Hummel, J.E., and Holyoak, K.J. (2005). Relational Reasoning in a Neurally Plausible Cognitive...
    55 KB (6,656 words) - 09:41, 2 November 2024
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    1016/0016-0032(71)90071-8, MR 0290245. Polya, G. (1954), Mathematics and Plausible Reasoning: Induction and analogy in mathematics, Princeton University Press, p. 138, ISBN 0-691-02509-6...
    12 KB (1,213 words) - 17:45, 26 October 2024
  • ISBN 978-0-387-78241-6. Polya, G. (1954). Mathematics and Plausible Reasoning: Induction and analogy in mathematics. Princeton University Press. p. 138. ISBN 0-691-02509-6...
    33 KB (3,679 words) - 10:52, 26 October 2024
  • general linear recurrence problem. George Pólya writes in Mathematics and plausible reasoning: The name "generating function" is due to Laplace. Yet, without...
    87 KB (14,363 words) - 13:47, 4 November 2024
  • μαθηματικά) and means roughly "all things mathematical", although it is plausible that English borrowed only the adjective mathematic(al) and formed the...
    159 KB (15,698 words) - 18:01, 18 November 2024
  • Thumbnail for Nancy Blachman
    Nancy Blachman (category Mathematics educators)
    course based on George Polya's Mathematics and Plausible Reasoning. She was also inspired by the mathematics contest produced by Saint Mary's College of...
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    jokes attempt a seemingly plausible, but in fact impossible, mathematical operation. For example: Pi goes on and on and on ... And e is just as cursed. I...
    23 KB (2,720 words) - 10:44, 14 November 2024
  • uncertain reasoning with his publication of the book Probabilistic Reasoning in Intelligent Systems: Networks of Plausible Inference. and Bayesian approaches...
    86 KB (10,837 words) - 00:15, 25 November 2024
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    Fallacy (redirect from Faulty reasoning)
    A fallacy is the use of invalid or otherwise faulty reasoning in the construction of an argument that may appear to be well-reasoned if unnoticed. The...
    47 KB (5,520 words) - 19:40, 16 November 2024
  • Thumbnail for Dempster–Shafer theory
    general framework for reasoning with uncertainty, with understood connections to other frameworks such as probability, possibility and imprecise probability...
    36 KB (4,962 words) - 17:14, 4 September 2024
  • Thumbnail for History of artificial intelligence
    digital computer in the 1940s, a machine based on abstract mathematical reasoning. This device and the ideas behind it inspired scientists to begin discussing...
    146 KB (17,347 words) - 22:26, 24 November 2024
  • different, no one would have been around to make observations. Anthropic reasoning has been used to address the question as to why certain measured physical...
    74 KB (9,502 words) - 07:20, 25 November 2024
  • Thumbnail for Charles Sanders Peirce
    defined the concept of abductive reasoning, as well as rigorously formulating mathematical induction and deductive reasoning. He was one of the founders of...
    146 KB (18,340 words) - 14:44, 13 November 2024