• Thumbnail for Principia Mathematica
    language of Principia Mathematica was an Indo-European one. John Edensor Littlewood, Littlewood's Miscellany (1986) The Principia Mathematica (often abbreviated...
    70 KB (9,459 words) - 18:04, 8 December 2024
  • Thumbnail for Philosophiæ Naturalis Principia Mathematica
    Philosophiæ Naturalis Principia Mathematica (English: The Mathematical Principles of Natural Philosophy) often referred to as simply the Principia (/prɪnˈsɪpiə...
    102 KB (12,028 words) - 03:41, 17 December 2024
  • unentscheidbare Sätze der Principia Mathematica und verwandter Systeme I" ("On Formally Undecidable Propositions of Principia Mathematica and Related Systems...
    11 KB (1,354 words) - 17:17, 16 October 2023
  • notation used in Alfred North Whitehead and Bertrand Russell's Principia Mathematica (1910–1913). The second (but not the first) edition of Volume I...
    20 KB (1,102 words) - 14:51, 7 April 2024
  • Thumbnail for Principia Discordia
    Newton's 1687 Principia Mathematica, is presumably intended to mean Discordant Principles, or Principles of Discordance. The Principia describes the Discordian...
    22 KB (2,618 words) - 05:40, 27 August 2024
  •  27–54. doi:10.1142/9012. ISBN 978-981-4571-52-4. MR 3497013. Whitehead, Alfred North; Bertrand Russell (1910). Principia Mathematica. Vol. I. p. 37....
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  • as a theorem of propositional logic by Russell and Whitehead in Principia Mathematica as: ∗ 2 ⋅ 11 .     ⊢ .   p   ∨ ∼ p {\displaystyle \mathbf {*2\cdot...
    37 KB (5,624 words) - 06:59, 13 November 2024
  • Thumbnail for Alfred North Whitehead
    He wrote the three-volume Principia Mathematica (1910–1913), with his former student Bertrand Russell. Principia Mathematica is considered one of the twentieth...
    114 KB (14,578 words) - 02:09, 28 November 2024
  • Look up principia in Wiktionary, the free dictionary. Principia may refer to: Philosophiæ Naturalis Principia Mathematica, Isaac Newton's three-volume...
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  • unentscheidbare Sätze der Principia Mathematica und verwandter Systeme I" ("On Formally Undecidable Propositions in Principia Mathematica and Related Systems...
    92 KB (12,121 words) - 18:19, 15 December 2024
  • Thumbnail for Metamathematics
    foundations of mathematics, carried out over the next quarter century. Principia Mathematica, or "PM" as it is often abbreviated, was an attempt to describe...
    13 KB (1,666 words) - 08:01, 8 October 2024
  • Thumbnail for Kurt Gödel
    unentscheidbare Sätze der Principia Mathematica und verwandter Systeme (called in English "On Formally Undecidable Propositions of Principia Mathematica and Related...
    49 KB (5,484 words) - 00:28, 9 December 2024
  • Thumbnail for Isaac Newton
    Enlightenment that followed. Newton's book Philosophiæ Naturalis Principia Mathematica (Mathematical Principles of Natural Philosophy), first published...
    162 KB (16,954 words) - 01:23, 22 December 2024
  • were first stated by Isaac Newton in his Philosophiæ Naturalis Principia Mathematica (Mathematical Principles of Natural Philosophy), originally published...
    123 KB (15,545 words) - 02:31, 23 December 2024
  • 333) Russell and Alfred North Whitehead wrote their three-volume Principia Mathematica hoping to achieve what Frege had been unable to do. They sought...
    31 KB (4,605 words) - 14:54, 11 December 2024
  • Superset in set theory It was used by Whitehead and Russell in Principia Mathematica. In Unicode the symbol is encoded U+2283 ⊃ SUPERSET OF (⊃, ⊃...
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  • motion (first published in Newton's work, Philosophiæ Naturalis Principia Mathematica, in 1687): Every body perseveres in its state of rest, or of uniform...
    27 KB (2,952 words) - 03:19, 8 November 2024
  • "The Principles of Mathematics" became the three-volume work named Principia Mathematica (hereafter PM), written jointly with Alfred North Whitehead. Immediately...
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  • Thumbnail for Treatise
    of November 1747). G. E. Smith, "Newton's Philosophiae Naturalis Principia Mathematica", The Stanford Encyclopedia of Philosophy (Winter 2008 Edition)...
    12 KB (1,122 words) - 16:04, 26 September 2024
  • Thumbnail for Early life of Isaac Newton
    scientific contributions, before the writing of his main work, the Principia Mathematica, in 1685. Sir Isaac Newton is known for many scientific findings...
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  • assertion of logicism was collected by Russell and Whitehead in their Principia Mathematica. Today, the bulk of extant mathematics is believed to be derivable...
    76 KB (11,833 words) - 19:27, 31 August 2024
  • as a theorem of propositional logic by Russell and Whitehead in Principia Mathematica as: ∗ 3 ⋅ 24 .     ⊢ . ∼ ( p . ∼ p ) {\displaystyle \mathbf {*3\cdot...
    24 KB (3,178 words) - 08:14, 11 November 2024
  • descriptivism. Later, his book written with Alfred North Whitehead, Principia Mathematica (1910–1913), the seminal text of classical logic and of the logicist...
    95 KB (11,019 words) - 03:28, 21 October 2024
  • Thumbnail for Bertrand Russell
    Together with his former teacher A. N. Whitehead, Russell wrote Principia Mathematica, a milestone in the development of classical logic and a major attempt...
    152 KB (15,780 words) - 03:38, 15 December 2024
  • See page 79. See article On Formally Undecidable Propositions of Principia Mathematica and Related Systems and Gödel 1931. von Neumann 1923, von Neumann...
    21 KB (2,811 words) - 17:39, 5 December 2024
  • unentscheidbare Sätze der Principia Mathematica und verwandter Systeme I" [On Formally Undecidable Propositions of Principia Mathematica and Related Systems]...
    69 KB (8,343 words) - 20:55, 5 December 2024
  • second edition of Philosophiae Naturalis Principia Mathematica in 1713. A 1999 translation of the Principia presents Newton's remark as follows: I have...
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  • Thumbnail for Cardinal number
    cardinality of a set X (implicit in Cantor and explicit in Frege and Principia Mathematica) is as the class [X] of all sets that are equinumerous with X. This...
    26 KB (3,821 words) - 06:27, 19 December 2024
  • approach was continued by Russell and Whitehead in their influential Principia Mathematica, first published 1910–1913, and with a revised second edition in...
    29 KB (2,945 words) - 12:39, 20 November 2024
  • states that Bernays determined the independence of the axioms of Principia Mathematica, a result not published until 1926, but he says nothing about Bernays...
    20 KB (2,914 words) - 18:16, 31 August 2024