On Formally Undecidable Propositions of Principia Mathematica and Related Systems

On Formally Undecidable Propositions Of Principia Mathematica And Related Systems

Über formal unentscheidbare Sätze der Principia Mathematica und verwandter Systeme I ("On Formally Undecidable Propositions of Principia Mathematica and Related Systems I") is a paper in mathematical logic by Kurt Gödel. Dated November 17, 1930, it was originally published in German in the 1931 volume of Monatshefte für Mathematik. Several English translations have appeared in print, and the paper has been included in two collections of classic mathematical logic papers. The paper is famous for the theorems it contains, which have many implications for consistency proofs in mathematics, and for the techniques that Gödel invented to prove these theorems.

Read more about On Formally Undecidable Propositions Of Principia Mathematica And Related Systems:  Outline and Key Results, Published English Translations

Famous quotes containing the words formally, propositions, related and/or systems:

    From a bed in this hotel Seargent S. Prentiss arose in the middle of the night and made a speech in defense of a bedbug that had bitten him. It was heard by a mock jury and judge, and the bedbug was formally acquitted.
    —Federal Writers’ Project Of The Wor, U.S. public relief program (1935-1943)

    The whole race is a poet that writes down
    The eccentric propositions of its fate.
    Wallace Stevens (1879–1955)

    Gambling is closely related to theft, and lewdness to murder.
    Chinese proverb.

    The skylines lit up at dead of night, the air- conditioning systems cooling empty hotels in the desert and artificial light in the middle of the day all have something both demented and admirable about them. The mindless luxury of a rich civilization, and yet of a civilization perhaps as scared to see the lights go out as was the hunter in his primitive night.
    Jean Baudrillard (b. 1929)