L. Beklemishev. Another pathological well-ordering. Logic Colloquium '98, Proceedings of the annual European summer meeting of the Association for Symbolic Logic, held in Prague, Czech Republic, August 9–15, 1998, edited by Samuel R. Buss, Petr Hájek, and Pavel Pudlák, Lecture notes in logic, no. 13, Association for Symbolic Logic, Urbana, and A K Peters, Natick, Mass., 2000, pp. 105–108.

2001 ◽  
Vol 7 (4) ◽  
pp. 534-534
Author(s):  
G. Mints
Keyword(s):  
Czech Republic ◽  
Symbolic Logic ◽  
Lecture Notes

Completeness Before Post: Bernays, Hilbert, and the Development of Propositional Logic

1999 ◽  
Vol 5 (3) ◽  
pp. 331-366 ◽  
Author(s):  
Richard Zach
Keyword(s):  
Mathematical Logic ◽  
Propositional Logic ◽  
Historical Context ◽  
Subsequent Development ◽  
Symbolic Logic ◽  
David Hilbert ◽  
Semantic Completeness ◽  
Lecture Notes ◽  
Truth Value

AbstractSome of the most important developments of symbolic logic took place in the 1920s. Foremost among them are the distinction between syntax and semantics and the formulation of questions of completeness and decidability of logical systems. David Hilbert and his students played a very important part in these developments. Their contributions can be traced to unpublished lecture notes and other manuscripts by Hilbert and Bernays dating to the period 1917–1923. The aim of this paper is to describe these results, focussing primarily on propositional logic, and to put them in their historical context. It is argued that truth-value semantics, syntactic (“Post-”) and semantic completeness, decidability, and other results were first obtained by Hilbert and Bernays in 1918, and that Bernays's role in their discovery and the subsequent development of mathematical logic is much greater than has so far been acknowledged.

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