• 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 (9,477 words) - 13:36, 8 May 2025
  • 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...
    103 KB (12,092 words) - 15:37, 26 April 2025
  • 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 (14,536 words) - 10:33, 30 March 2025
  • as a theorem of propositional logic by Russell and Whitehead in Principia Mathematica as: ∗ 2 ⋅ 11 .     ⊢ .   p   ∨ ∼ p {\displaystyle \mathbf {*2\cdot...
    37 KB (5,615 words) - 16:00, 2 April 2025
  • 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
  • Thumbnail for Kurt Gödel
    unentscheidbare Sätze der Principia Mathematica und verwandter Systeme (called in English "On Formally Undecidable Propositions of Principia Mathematica and Related...
    54 KB (5,819 words) - 03:35, 15 May 2025
  • 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 (2,690 words) - 05:40, 27 August 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) - 08:20, 6 March 2025
  • 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
  • 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 (2,964 words) - 17:20, 17 May 2025
  • "The Principles of Mathematics" became the three-volume work named Principia Mathematica (hereafter PM), written jointly with Alfred North Whitehead. Immediately...
    82 KB (11,576 words) - 14:41, 15 May 2025
  • 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 (4,621 words) - 22:21, 27 April 2025
  • Look up principia in Wiktionary, the free dictionary. Principia may refer to: Philosophiæ Naturalis Principia Mathematica, Isaac Newton's three-volume...
    1 KB (234 words) - 03:27, 1 November 2024
  • unentscheidbare Sätze der Principia Mathematica und verwandter Systeme I" ("On Formally Undecidable Propositions in Principia Mathematica and Related Systems...
    92 KB (12,173 words) - 07:55, 18 May 2025
  • unentscheidbare Sätze der Principia Mathematica und verwandter Systeme I" [On Formally Undecidable Propositions of Principia Mathematica and Related Systems]...
    69 KB (8,370 words) - 19:50, 19 April 2025
  • {\displaystyle b(x)=(x=y).} The following definition was introduced in Principia Mathematica by Whitehead and Russell ι {\displaystyle \iota } ‘ x = y ^ ( y...
    6 KB (828 words) - 18:55, 11 May 2025
  • 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) - 12:49, 27 December 2024
  • Thumbnail for Isaac Newton
    the Enlightenment that followed. His book Philosophiæ Naturalis Principia Mathematica (Mathematical Principles of Natural Philosophy), first published...
    171 KB (18,277 words) - 03:30, 15 May 2025
  • descriptivism. Later, his book written with Alfred North Whitehead, Principia Mathematica (1910–1913), the seminal text of classical logic and of the logicist...
    93 KB (10,876 words) - 10:09, 7 May 2025
  • approach was continued by Russell and Whitehead in their influential Principia Mathematica, first published 1910–1913, and with a revised second edition in...
    28 KB (2,933 words) - 21:40, 29 March 2025
  • Thumbnail for Age of Enlightenment
    therefore I am"). Others cite the publication of Isaac Newton's Principia Mathematica (1687) as the culmination of the Scientific Revolution and the beginning...
    180 KB (22,489 words) - 01:35, 17 May 2025
  • Thumbnail for Systems thinking
    in magisterial detail by Newton's (1687) Philosophiæ Naturalis Principia Mathematica, Book three, The System of the World: Book three  (that is, the...
    19 KB (1,995 words) - 20:40, 21 April 2025
  • work Philosophiæ Naturalis Principia Mathematica (Latin for 'Mathematical Principles of Natural Philosophy' (the Principia)), first published on 5 July...
    28 KB (3,839 words) - 23:50, 23 April 2025
  • Thumbnail for Copernican Revolution
    finally ending with Isaac Newton's 1687 work Philosophiæ Naturalis Principia Mathematica. The "Copernican Revolution" is named for Nicolaus Copernicus, whose...
    33 KB (4,066 words) - 00:44, 3 May 2025
  • 52 theorems in chapter two of Whitehead and Bertrand Russell's Principia Mathematica, and found new and shorter proofs for some of them. In 1955, when...
    14 KB (1,966 words) - 18:13, 4 August 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 (2,931 words) - 16:30, 13 April 2025
  • 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 (1,123 words) - 06:34, 12 April 2025
  • Thumbnail for Ordered pair
    definition made it possible to define the types of Principia Mathematica as sets. Principia Mathematica had taken types, and hence relations of all arities...
    24 KB (3,697 words) - 09:06, 19 March 2025
  • incompleteness theorems; "On formally undecidable propositions of Principia Mathematica and related systems I" by Kurt Gödel. Markov, A. (1958). "The insolubility...
    4 KB (500 words) - 18:15, 17 May 2025
  • Thumbnail for Mécanique analytique
    published 101 years after Isaac Newton's Philosophiæ Naturalis Principia Mathematica. It consolidated into one unified and harmonious system, the scattered...
    5 KB (535 words) - 12:49, 17 October 2024