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- Principles_of_Mathematical_Logic abstract "Principles of Mathematical Logic is the 1950 American translation of the 1938 second edition of David Hilbert's and Wilhelm Ackermann's classic text Grundzüge der theoretischen Logik, on elementary mathematical logic. The 1928 first edition thereof is considered the first elementary text clearly grounded in the formalism now known as first-order logic (FOL). Hilbert and Ackermann also formalized FOL in a way that subsequently achieved canonical status. FOL is now a core formalism of mathematical logic, and is presupposed by contemporary treatments of Peano arithmetic and nearly all treatments of axiomatic set theory.The 1928 edition included a clear statement of the Entscheidungsproblem (decision problem) for FOL, and also asked whether that logic was complete (i.e., whether all semantic truths of FOL were theorems derivable from the FOL axioms and rules). The first problem was answered in the negative by Alonzo Church in 1936. The second was answered affirmatively by Kurt Gödel in 1929.The text also touched on set theory and relational algebra as ways of going beyond FOL. Contemporary notation for logic owes more to this text than it does to the notation of Principia Mathematica, long popular in the English speaking world.".
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- Principles_of_Mathematical_Logic wikiPageWikiLink Alonzo_Church.
- Principles_of_Mathematical_Logic wikiPageWikiLink Axiomatic_set_theory.
- Principles_of_Mathematical_Logic wikiPageWikiLink Category:1928_books.
- Principles_of_Mathematical_Logic wikiPageWikiLink Category:1938_books.
- Principles_of_Mathematical_Logic wikiPageWikiLink Category:History_of_logic.
- Principles_of_Mathematical_Logic wikiPageWikiLink Category:Logic_books.
- Principles_of_Mathematical_Logic wikiPageWikiLink Category:Mathematics_books.
- Principles_of_Mathematical_Logic wikiPageWikiLink David_Hilbert.
- Principles_of_Mathematical_Logic wikiPageWikiLink Decision_problem.
- Principles_of_Mathematical_Logic wikiPageWikiLink Entscheidungsproblem.
- Principles_of_Mathematical_Logic wikiPageWikiLink First-order_logic.
- Principles_of_Mathematical_Logic wikiPageWikiLink Gxc3xb6dels_completeness_theorem.
- Principles_of_Mathematical_Logic wikiPageWikiLink Kurt_Gödel.
- Principles_of_Mathematical_Logic wikiPageWikiLink Peano_arithmetic.
- Principles_of_Mathematical_Logic wikiPageWikiLink Peano_axioms.
- Principles_of_Mathematical_Logic wikiPageWikiLink Principia_Mathematica.
- Principles_of_Mathematical_Logic wikiPageWikiLink Relational_algebra.
- Principles_of_Mathematical_Logic wikiPageWikiLink Set_theory.
- Principles_of_Mathematical_Logic wikiPageWikiLink Wilhelm_Ackermann.
- Principles_of_Mathematical_Logic wikiPageWikiLinkText "Grundzüge der theoretischen Logik".
- Principles_of_Mathematical_Logic wikiPageWikiLinkText "Principles of Mathematical Logic".
- Principles_of_Mathematical_Logic hasPhotoCollection Principles_of_Mathematical_Logic.
- Principles_of_Mathematical_Logic wikiPageUsesTemplate Template:Italic_title.
- Principles_of_Mathematical_Logic wikiPageUsesTemplate Template:Logic-stub.
- Principles_of_Mathematical_Logic wikiPageUsesTemplate Template:Reflist.
- Principles_of_Mathematical_Logic subject Category:1928_books.
- Principles_of_Mathematical_Logic subject Category:1938_books.
- Principles_of_Mathematical_Logic subject Category:History_of_logic.
- Principles_of_Mathematical_Logic subject Category:Logic_books.
- Principles_of_Mathematical_Logic subject Category:Mathematics_books.
- Principles_of_Mathematical_Logic hypernym Translation.
- Principles_of_Mathematical_Logic type Book.
- Principles_of_Mathematical_Logic type Work.
- Principles_of_Mathematical_Logic type Book.
- Principles_of_Mathematical_Logic type Work.
- Principles_of_Mathematical_Logic comment "Principles of Mathematical Logic is the 1950 American translation of the 1938 second edition of David Hilbert's and Wilhelm Ackermann's classic text Grundzüge der theoretischen Logik, on elementary mathematical logic. The 1928 first edition thereof is considered the first elementary text clearly grounded in the formalism now known as first-order logic (FOL). Hilbert and Ackermann also formalized FOL in a way that subsequently achieved canonical status.".
- Principles_of_Mathematical_Logic label "Principles of Mathematical Logic".
- Principles_of_Mathematical_Logic sameAs Principes_de_logique_théorique.
- Principles_of_Mathematical_Logic sameAs m.06pbjk.
- Principles_of_Mathematical_Logic sameAs Q3403665.
- Principles_of_Mathematical_Logic sameAs Q3403665.
- Principles_of_Mathematical_Logic wasDerivedFrom Principles_of_Mathematical_Logic?oldid=655691626.
- Principles_of_Mathematical_Logic isPrimaryTopicOf Principles_of_Mathematical_Logic.