George S. Boolos, Boolos George S.

The Logic of Provability

• Broschiertes Buch

Produktbeschreibung

This book written by one of the most distinguished of contemporary philosophers of mathematics, is a fully rewritten and updated successor to the author's earlier The Unprovability of Consistency (1979). Its subject is the relation between provability and modal logic, a branch of logic invented by Aristotle but much disparaged by philosophers and virtually ignored by mathematicians. Here it receives its first scientific application since its invention.

Produktdetails

• Verlag: Cambridge University Press
• Seitenzahl: 316
• Erscheinungstermin: 24. Juni 2003
• Englisch
• Abmessung: 229mm x 152mm x 19mm
• Gewicht: 515g
• ISBN-13: 9780521483254
• ISBN-10: 0521483255
• Artikelnr.: 22436533

Inhaltsangabe

1. GL and other systems of propositional modal logic
2. Peano arithmetic
3. The box as Bew(x)
4. Semantics for GL and other modal logics
5. Completeness and decidability of GL and K, K4, T, B, S4, and S5
6. Canonical models
7. On GL
8. The fixed point theorem
9. The arithmetical completeness theorems for GL and GLS
10. Trees for GL
11. An incomplete system of modal logic
12. An S4 -preserving proof-theoretical treatment of modality
13. Modal logic within set theory
14. Modal logic within analysis
15. The joint provability logic of consistency and w-consistency
16. On GLB: the fixed point theorem, letterless sentences, and analysis
18. Quantified provability logic with one one-place predicate letter
Notes
Bibliography
Index.