Foundations of Logic and Mathematics

Foundations of Logic and Mathematics

SeriesInternational Encyclopedia of Unified Science: Foundations of the Unity of Science
PublisherThe University of Chicago Press, Ltd., Midway Reprint
Series EditorOtto Neurath, Rudolf Carnap, Charles Morris
Managing DirectorRudolf Carnap, Philipp Frank, Joergen Joergensen, Charles Morris, Otto Neurath, Louis Rougier
AdvisorNiels Bohr, Egon Brunswik, J. Clay, John Dewey, Federigo Enriques, Herbert Feigl, Clark L. Hull, Waldemar Kaempffert, Victor F. Lenzen, Jan Łukasiewicz, William M. Malisoff, Richard von Mises, Gerrit Mannoury, Ernest Nagel, Arne Næss, Hans Reichenbach, Abel Rey, Bertrand Russell, Susan Stebbing, Alfred Tarski, Edward C. Tolman, Joseph H. Woodger
ImprintPhoenix Books
Copyright HolderThe University of Chicago
About/SubjectMathematical Logic
FormatPaperback
LanguageEnglish
LocationChicago - London
This Edition Published1970
Reprinted1974
Pages / Font71 pages
Volume NumberI
Issue Number3
Price$2.65
OtherP 402
Impression/Printing No.13
Catalog Number60637
ISBN0-226-57578-0
ChaptersI. Logical Analysis of Language: Semantics and Syntax 1. Theoretical Procedures in Science 1 2. Analysis of Language 3 3. Pragmatics of Language B 5 4. Semantical Systems 6 5. Rules of the Semantical System B-S 8 6. Some Terms of Semantics 11 7. L-Semantical Terms 12 8. Logical Syntax 16 9. The Calculus B-C 18 II. Calculus and Interpretation 10. Calculus and Semantical System 21 11. On the Construction of a Language System 24 12. Is Logic a Matter of Convention? 26 III. Calculi and Their Application in Empirical Science 13. Elementary Logical Calculi 29 14. Higher Logical Calculi 33 15. Application of Logical Calculi 35 16. General Remarks about Nonlogical Calculi (Axiom Systems) 37 17. An Elementary Mathematical Calculus 38 18. Higher Mathematical Calculi 42 19. Application of Mathematical Calculi 44 20. The Controversies over "Foundations" of Mathematics 48 21. Geometrical Calculi and Their Interpretations 51 22. The Distinction between Mathematical and Physical Geometry 53 23. Physical Calculi and Their Interpretations 56 24. Elementary and Abstract Terms 61 25. "Understanding" in Physics 67 Selected Biography 69 Index of Terms 71
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