Data Portal @ linkeddatafragments.org

Matches in DBpedia 2014 for { <http://dbpedia.org/resource/Principia_Mathematica> ?p ?o. }

• Principia_Mathematica abstract "The Principia Mathematica is a three-volume work on the foundations of mathematics, written by Alfred North Whitehead and Bertrand Russell and published in 1910, 1912, and 1913. In 1927, it appeared in a second edition with an important Introduction To the Second Edition, an Appendix A that replaced ✸9 and an all-new Appendix C.PM, as it is often abbreviated, was an attempt to describe a set of axioms and inference rules in symbolic logic from which all mathematical truths could in principle be proven. As such, this ambitious project is of great importance in the history of mathematics and philosophy, being one of the foremost products of the belief that such an undertaking may be achievable. However, in 1931, Gödel's incompleteness theorem proved definitively that PM, and in fact any other attempt, could never achieve this lofty goal; that is, for any set of axioms and inference rules proposed to encapsulate mathematics, there would in fact be some truths of mathematics which could not be deduced from them.One of the main inspirations and motivations for PM was the earlier work of Gottlob Frege on logic, which Russell discovered allowed for the construction of paradoxical sets. PM sought to avoid this problem by ruling out the unrestricted creation of arbitrary sets. This was achieved by replacing the notion of a general set with notion of a hierarchy of sets of different 'types', a set of a certain type only allowed to contain sets of strictly lower types. Contemporary mathematics, however, avoids paradoxes such as Russell's in less unwieldy ways, such as the system of Zermelo–Fraenkel set theory.PM is not to be confused with Russell's 1903 Principles of Mathematics. PM states: "The present work was originally intended by us to be comprised in a second volume of Principles of Mathematics... But as we advanced, it became increasingly evident that the subject is a very much larger one than we had supposed; moreover on many fundamental questions which had been left obscure and doubtful in the former work, we have now arrived at what we believe to be satisfactory solutions."The Modern Library placed it 23rd in a list of the top 100 English-language nonfiction books of the twentieth century.".
• Principia_Mathematica thumbnail Pmdsgdbhxdfgb2.jpg?width=300.
• Principia_Mathematica wikiPageExternalLink pm-notation.
• Principia_Mathematica wikiPageExternalLink principia-mathematica.
• Principia_Mathematica wikiPageExternalLink pageviewer-idx?c=umhistmath&cc=umhistmath&idno=aat3201.0001.001&frm=frameset&view=image&seq=401.
• Principia_Mathematica wikiPageExternalLink pageviewer-idx?c=umhistmath&cc=umhistmath&idno=aat3201.0002.001&frm=frameset&view=image&seq=126.
• Principia_Mathematica wikiPageExternalLink pm54.43.html.
• Principia_Mathematica wikiPageExternalLink bibperm?q1=AAT3201.0001.001.
• Principia_Mathematica wikiPageExternalLink bibperm?q1=AAT3201.0002.001.
• Principia_Mathematica wikiPageExternalLink bibperm?q1=AAT3201.0003.001.
• Principia_Mathematica wikiPageID "24133".
• Principia_Mathematica wikiPageRevisionID "606703296".
• Principia_Mathematica hasPhotoCollection Principia_Mathematica.
• Principia_Mathematica subject Category:1910_books.
• Principia_Mathematica subject Category:1910_in_science.
• Principia_Mathematica subject Category:1912_books.
• Principia_Mathematica subject Category:1912_in_science.
• Principia_Mathematica subject Category:1913_books.
• Principia_Mathematica subject Category:1913_in_science.
• Principia_Mathematica subject Category:Analytic_philosophy_literature.
• Principia_Mathematica subject Category:Books_by_Bertrand_Russell.
• Principia_Mathematica subject Category:Large-scale_mathematical_formalization_projects.
• Principia_Mathematica subject Category:Logic_books.
• Principia_Mathematica subject Category:Mathematical_logic.
• Principia_Mathematica subject Category:Mathematics_books.
• Principia_Mathematica subject Category:Mathematics_literature.
• Principia_Mathematica subject Category:Works_by_Alfred_North_Whitehead.
• Principia_Mathematica type 1910Books.
• Principia_Mathematica type 1912Books.
• Principia_Mathematica type 1913Books.
• Principia_Mathematica type Artifact100021939.
• Principia_Mathematica type Book106410904.
• Principia_Mathematica type BooksByBertrandRussell.
• Principia_Mathematica type Creation103129123.
• Principia_Mathematica type EndProduct103287178.
• Principia_Mathematica type LogicBooks.
• Principia_Mathematica type MathematicsBooks.
• Principia_Mathematica type Object100002684.
• Principia_Mathematica type Oeuvre103841417.
• Principia_Mathematica type PhysicalEntity100001930.
• Principia_Mathematica type Product104007894.
• Principia_Mathematica type Publication106589574.
• Principia_Mathematica type Whole100003553.
• Principia_Mathematica type Work104599396.
• Principia_Mathematica type WorksByAlfredNorthWhitehead.
• Principia_Mathematica comment "The Principia Mathematica is a three-volume work on the foundations of mathematics, written by Alfred North Whitehead and Bertrand Russell and published in 1910, 1912, and 1913.".
• Principia_Mathematica label "Principia Mathematica".
• Principia_Mathematica label "Principia Mathematica".
• Principia_Mathematica label "Principia Mathematica".
• Principia_Mathematica label "Principia Mathematica".
• Principia_Mathematica label "Principia Mathematica".
• Principia_Mathematica label "Principia Mathematica".
• Principia_Mathematica label "Principia mathematica".
• Principia_Mathematica label "Principia mathematica".
• Principia_Mathematica label "Principia mathematica".
• Principia_Mathematica label "プリンキピア・マテマティカ".
• Principia_Mathematica sameAs Principia_Mathematica.
• Principia_Mathematica sameAs Principia_Mathematica.
• Principia_Mathematica sameAs Principia_mathematica.
• Principia_Mathematica sameAs Principia_Mathematica.
• Principia_Mathematica sameAs Principia_Mathematica.
• Principia_Mathematica sameAs プリンキピア・マテマティカ.
• Principia_Mathematica sameAs 수학_원리.
• Principia_Mathematica sameAs Principia_Mathematica.
• Principia_Mathematica sameAs Principia_mathematica.
• Principia_Mathematica sameAs Principia_mathematica.
• Principia_Mathematica sameAs m.060lp.
• Principia_Mathematica sameAs Q163335.
• Principia_Mathematica sameAs Q163335.
• Principia_Mathematica sameAs Principia_Mathematica.
• Principia_Mathematica wasDerivedFrom Principia_Mathematica?oldid=606703296.
• Principia_Mathematica depiction Pmdsgdbhxdfgb2.jpg.
• Principia_Mathematica isPrimaryTopicOf Principia_Mathematica.