language of Principia Mathematica was an Indo-European one. John Edensor Littlewood, Littlewood's Miscellany (1986) The Principia Mathematica (often abbreviated...

Philosophiæ Naturalis Principia Mathematica (English: The Mathematical Principles of Natural Philosophy), often referred to as simply the Principia (/prɪnˈsɪpiə...

unentscheidbare Sätze der Principia Mathematica und verwandter Systeme I" ("On Formally Undecidable Propositions of Principia Mathematica and Related Systems...

He wrote the three-volume Principia Mathematica (1910–1913), with his former student Bertrand Russell. Principia Mathematica is considered one of the twentieth...

Newton's 1687 Principia Mathematica, is presumably intended to mean Discordant Principles, or Principles of Discordance. The Principia describes the Discordian...

unentscheidbare Sätze der Principia Mathematica und verwandter Systeme (called in English "On Formally Undecidable Propositions of Principia Mathematica and Related...

as a theorem of propositional logic by Russell and Whitehead in Principia Mathematica as: ∗ 2 ⋅ 11 .     ⊢ .   p   ∨ ∼ p {\displaystyle \mathbf {*2\cdot...

foundations of mathematics, carried out over the next quarter century. Principia Mathematica, or "PM" as it is often abbreviated, was an attempt to describe...

notation used in Alfred North Whitehead and Bertrand Russell's Principia Mathematica (1910–1913). The second (but not the first) edition of Volume I...

"The Principles of Mathematics" became the three-volume work named Principia Mathematica (hereafter PM), written jointly with Alfred North Whitehead. Immediately...

motion (first published in Newton's work, Philosophiæ Naturalis Principia Mathematica, in 1687): Every body perseveres in its state of rest, or of uniform...

Look up principia in Wiktionary, the free dictionary. Principia may refer to: Philosophiæ Naturalis Principia Mathematica, Isaac Newton's three-volume...

333) Russell and Alfred North Whitehead wrote their three-volume Principia Mathematica hoping to achieve what Frege had been unable to do. They sought...

{\displaystyle b(x)=(x=y).} The following definition was introduced in Principia Mathematica by Whitehead and Russell ι {\displaystyle \iota } ‘ x = y ^ ( y...

unentscheidbare Sätze der Principia Mathematica und verwandter Systeme I" ("On Formally Undecidable Propositions in Principia Mathematica and Related Systems...

See page 79. See article On Formally Undecidable Propositions of Principia Mathematica and Related Systems and Gödel 1931. von Neumann 1923, von Neumann...

approach was continued by Russell and Whitehead in their influential Principia Mathematica, first published 1910–1913, and with a revised second edition in...

descriptivism. Later, his book written with Alfred North Whitehead, Principia Mathematica (1910–1913), the seminal text of classical logic and of the logicist...

unentscheidbare Sätze der Principia Mathematica und verwandter Systeme I" [On Formally Undecidable Propositions of Principia Mathematica and Related Systems]...

the Enlightenment that followed. His book Philosophiæ Naturalis Principia Mathematica (Mathematical Principles of Natural Philosophy), first published...

Together with his former teacher A. N. Whitehead, Russell wrote Principia Mathematica, a milestone in the development of classical logic and a major attempt...

of November 1747). G. E. Smith, "Newton's Philosophiae Naturalis Principia Mathematica", The Stanford Encyclopedia of Philosophy (Winter 2008 Edition)...

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...

method which tells whether a given formula U is provable in K [Principia Mathematica]". Turing followed this proof with two others. The second and third...

as a theorem of propositional logic by Russell and Whitehead in Principia Mathematica as: ∗ 3 ⋅ 24 .     ⊢ . ∼ ( p . ∼ p ) {\displaystyle \mathbf {*3\cdot...

finally ending with Isaac Newton's 1687 work Philosophiæ Naturalis Principia Mathematica. The "Copernican Revolution" is named for Nicolaus Copernicus, whose...

incompleteness theorems; "On formally undecidable propositions of Principia Mathematica and related systems I" by Kurt Gödel. Markov, A. (1958). "The insolubility...

therefore I am"). Others cite the publication of Isaac Newton's Principia Mathematica (1687) as the culmination of the Scientific Revolution and the beginning...

for all mathematics. It has been tied to formal mathematics since Principia Mathematica to today's proof assistants. In a letter to Gottlob Frege (1902)...

states that Bernays determined the independence of the axioms of Principia Mathematica, a result not published until 1926, but he says nothing about Bernays...