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  1. Wikipedia
    https://en.wikipedia.org › wiki › Principia_Mathematica

    Principia Mathematica - Wikipedia

    • The Principia Mathematica (often abbreviated PM) is a three-volume work on the foundations of mathematics written by the mathematician–philosophers Alfred North Whitehead and Bertrand Russell and published in 1910, 1912, and 1913. In 1925–1927, it appeared in a second edition with an important Introduction to the Second Edition, an Appendix A … See more

    Original titlePrincipia Mathematica
    Originally publishedJanuary 1, 1913
    AuthorAlfred North Whitehead
    SeriesCambridge Mathematical Library
    Scope of foundations laid

    The Principia covered only set theory, cardinal numbers, ordinal numbers, and real numbers. Deeper theorems from real analysis were not included, but by the end of the third volume it was clear to experts that a large amo… See more

    Theoretical basis

    As noted in the criticism of the theory by Kurt Gödel (below), unlike a formalist theory, the "logicistic" theory of PM has no "precise statement of the syntax of the formalism". Furthermore in the theory, it is almost immediatel… See more

    Principia mathematica : Whitehead, Alfred North, 1861-1947 : Free ...
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    Ramified types and the axiom of reducibility

    In simple type theory objects are elements of various disjoint "types". Types are implicitly built up as follows. If τ1,...,τm are types then there is a type (τ1,...,τm) that can be thought of as the class of propositional functions of … See more

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    Scope of foundations laid
    Theoretical basis
    Ramified types and the axiom of reducibility
     
  1. Three-volume work on the foundations of mathematics
    The Principia Mathematica (often abbreviated PM) is a three-volume work on the foundations of mathematics written by the mathematician–philosophers Alfred North Whitehead and Bertrand Russell and published in 1910, 1912, and 1913.

    Principia Mathematica - Wikipedia

    en.wikipedia.org/wiki/Principia_Mathematica
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  2. Stanford Encyclopedia of Philosophy
    https://plato.stanford.edu › ... › principia-m…

    Principia Mathematica - Stanford Encyclopedia of …

    May 21, 1996 · Principia Mathematica, the landmark work in formal logic written by Alfred North Whitehead and Bertrand Russell, was first published in three volumes in 1910, 1912 and 1913. A second edition appeared in 1925 (Volume …

     
  3. Archive
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    Principia mathematica : Whitehead, Alfred North, 1861 …

    Oct 9, 2009 · A free online version of the classic work on mathematical logic and philosophy, published in 1910 by Cambridge University Press. The book is available in PDF, XML and OCR formats, and can be downloaded or streamed …

  4. Wikipedia
    https://en.wikipedia.org › wiki › Philoso…

    Philosophiæ Naturalis Principia Mathematica - Wikipedia

    A book by Isaac Newton that expounds his laws of motion and universal gravitation. It is considered one of the most important works in the history of science and forms a mathematical foundation for classical mechanics.

  6. Britannica
    https://www.britannica.com › topic › Pri…

    Principia Mathematica | Contents, Logicism, Theory of …

    Principia Mathematica is a landmark work by Russell and Whitehead that aimed to reduce mathematics to logic. It faced challenges such as Russell's paradox, …

    • Library of Congress
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      Principia mathematica - Library of Congress

      Principia mathematica; Names Whitehead, Alfred North, 1861-1947. Created / Published Cambridge [England] The University Press, 1925-1927. Headings - Mathematics

    • uiowa.edu
      https://principia.lib.uiowa.edu › about.ht…

      Principia Mathematica

      Explore the structural connections and data of Principia Mathematica, the influential logic text by Whitehead and Russell. Use the map, the table, and the JSON file to search, analyze, and export theorems, definitions, and postulates.

    • Stanford Encyclopedia of Philosophy
      https://plato.stanford.edu › archIves › entries › principia-mathematica

      Principia Mathematica - Stanford Encyclopedia of Philosophy

      • Amazon
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        principia mathematica | Amazon Official Site

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