Anthology of universal logic: from Paul Hertz to Dov Gabbay

Anthology of universal logic: from Paul Hertz to Dov Gabbay

Beziau, Jean-Yves

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A collection of papers from Paul Hertz to Dov Gabbay - through Tarski, Gödel,Kripke - giving a general perspective about logical systems. These papers discuss questions such as the relativity and nature of logic, present tools such as consequence operators and combinations of logics, prove theorems such as translations between logics, investigate the domain of validity and application of fundamental results such as compactness and completeness. Each of these papers is presented by a specialist explaining its context, import and influence.No other anthology on universal logic or connected topics has been published In general it is not so usual to have an anthology with presentations of each paper by so many different specialists In this book will be collected already published papers from 1920 to 1990 that can be considered in the spirit of universal logic INDICE: 1. Paul Hertz (1922), «Über Axiomensysteme für beliebige Satzsysteme, Teil. 1» .- 2. Paul Bernays (1926), «Axiomatische Untersuchung des Aussagenkalküls des Principia Mathematica» .- 3. Alfred Tarski (1928), «Remarques surles notions fondamentales de la méthodologie des mathématiques».- 4. Kurt Gödel (1933), «Eine Interpretation des intuitionistischen Aussagenkalküls».- 5. Louis Rougier (1941), «The relativity of logic».- 6. Haskell B. Curry (1952), Leçons de logique algébrique (Translation of extracts).- 7. Jerzy Los and RonamSuszko (1958), «Remarks on sentential logics».- 8. Saul Kripke (1963), «Semantical Considerations on Modal Logic».- 9. Jean Porte (1965), Recherches sur lathéorie générale des systèmes formels et sur les systèmes connectifs (Translation of extracts).- 10. Per Lindström (1969), « On extensions of elementary logic ».- 11. Stephen L.Bloom, Donald J.Brown et Roman Suszko (1970), «Some theorems on abstract logics».- 12. Dana Scott (1974), «Completeness and axiomatizability in many-valued logic».- 13. Joseph Goguen and Rod Burstall (1984), «Introducing institutions».- 14. Andrea Loparic and Newton da Costa (1984), «Paraconsistency, paracompleteness and valuations».- 15. Dov Gabbay, «Fibred Semantics and the Weaving of Logics, Part 1: Modal and Intuitionistic logic» (extracts).

  • ISBN: 978-3-0346-0144-3
  • Editorial: Birkhaüser
  • Encuadernacion: Rústica
  • Páginas: 500
  • Fecha Publicación: 01/12/2010
  • Nº Volúmenes: 1
  • Idioma: Inglés