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- Q3403665 subject Q6581391.
- Q3403665 subject Q7311948.
- Q3403665 subject Q7313083.
- Q3403665 subject Q7313689.
- Q3403665 subject Q8519839.
- Q3403665 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.".
- Q3403665 wikiPageWikiLink Q11030584.
- Q3403665 wikiPageWikiLink Q12482.
- Q3403665 wikiPageWikiLink Q163335.
- Q3403665 wikiPageWikiLink Q3262192.
- Q3403665 wikiPageWikiLink Q4055684.
- Q3403665 wikiPageWikiLink Q41390.
- Q3403665 wikiPageWikiLink Q41585.
- Q3403665 wikiPageWikiLink Q61037.
- Q3403665 wikiPageWikiLink Q6581391.
- Q3403665 wikiPageWikiLink Q7311948.
- Q3403665 wikiPageWikiLink Q7313083.
- Q3403665 wikiPageWikiLink Q7313689.
- Q3403665 wikiPageWikiLink Q840540.
- Q3403665 wikiPageWikiLink Q842755.
- Q3403665 wikiPageWikiLink Q8519839.
- Q3403665 wikiPageWikiLink Q902052.
- Q3403665 wikiPageWikiLink Q92741.
- Q3403665 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.".
- Q3403665 label "Principles of Mathematical Logic".