language of Principia Mathematica was an Indo-European one. John Edensor Littlewood, Littlewood's Miscellany (1986) The Principia Mathematica (often abbreviated...
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Philosophiæ Naturalis Principia Mathematica (English: The Mathematical Principles of Natural Philosophy) often referred to as simply the Principia (/prɪnˈsɪpiə...
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unentscheidbare Sätze der Principia Mathematica und verwandter Systeme I" ("On Formally Undecidable Propositions of Principia Mathematica and Related Systems...
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notation used in Alfred North Whitehead and Bertrand Russell's Principia Mathematica (1910–1913). The second (but not the first) edition of Volume I...
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Newton's 1687 Principia Mathematica, is presumably intended to mean Discordant Principles, or Principles of Discordance. The Principia describes the Discordian...
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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...
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Alfred North Whitehead (section Principia Mathematica)
He wrote the three-volume Principia Mathematica (1910–1913), with his former student Bertrand Russell. Principia Mathematica is considered one of the twentieth...
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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...
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Metamathematics (section Principia Mathematica)
foundations of mathematics, carried out over the next quarter century. Principia Mathematica, or "PM" as it is often abbreviated, was an attempt to describe...
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unentscheidbare Sätze der Principia Mathematica und verwandter Systeme (called in English "On Formally Undecidable Propositions of Principia Mathematica and Related...
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Enlightenment that followed. Newton's book Philosophiæ Naturalis Principia Mathematica (Mathematical Principles of Natural Philosophy), first published...
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Newton's laws of motion (section After the Principia)
were first stated by Isaac Newton in his Philosophiæ Naturalis Principia Mathematica (Mathematical Principles of Natural Philosophy), originally published...
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333) Russell and Alfred North Whitehead wrote their three-volume Principia Mathematica hoping to achieve what Frege had been unable to do. They sought...
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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...
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"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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of November 1747). G. E. Smith, "Newton's Philosophiae Naturalis Principia Mathematica", The Stanford Encyclopedia of Philosophy (Winter 2008 Edition)...
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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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Logicism (section An example of a logicist construction of the natural numbers: Russell's construction in the Principia)
assertion of logicism was collected by Russell and Whitehead in their Principia Mathematica. Today, the bulk of extant mathematics is believed to be derivable...
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as a theorem of propositional logic by Russell and Whitehead in Principia Mathematica as: ∗ 3 ⋅ 24 . ⊢ . ∼ ( p . ∼ p ) {\displaystyle \mathbf {*3\cdot...
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Analytic philosophy (section Principia Mathematica)
descriptivism. Later, his book written with Alfred North Whitehead, Principia Mathematica (1910–1913), the seminal text of classical logic and of the logicist...
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Together with his former teacher A. N. Whitehead, Russell wrote Principia Mathematica, a milestone in the development of classical logic and a major attempt...
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See page 79. See article On Formally Undecidable Propositions of Principia Mathematica and Related Systems and Gödel 1931. von Neumann 1923, von Neumann...
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unentscheidbare Sätze der Principia Mathematica und verwandter Systeme I" [On Formally Undecidable Propositions of Principia Mathematica and Related Systems]...
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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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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...
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approach was continued by Russell and Whitehead in their influential Principia Mathematica, first published 1910–1913, and with a revised second edition in...
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states that Bernays determined the independence of the axioms of Principia Mathematica, a result not published until 1926, but he says nothing about Bernays...
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