Foundations of Logic and Mathematics
| Format | Paperback |
| Language | English |
| This Edition Published | 1970 |
| Series | International Encyclopedia of Unified Science: Foundations of the Unity of Science |
| Publisher | The University of Chicago Press, Ltd., Midway Reprint |
| Series Editor | Otto Neurath, Rudolf Carnap, Charles Morris |
| Managing Director | Rudolf Carnap, Philipp Frank, Joergen Joergensen, Charles Morris, Otto Neurath, Louis Rougier |
| Advisor | Niels 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 |
| Imprint | Phoenix Books |
| Copyright Holder | The University of Chicago |
| About/Subject | Mathematical Logic |
| Format | Paperback |
| Language | English |
| Location | Chicago - London |
| This Edition Published | 1970 |
| Reprinted | 1974 |
| Pages / Font | 71 pages |
| Volume Number | I |
| Issue Number | 3 |
| Price | $2.65 |
| Other | P 402 |
| Impression/Printing No. | 13 |
| Catalog Number | 60637 |
| ISBN | 0-226-57578-0 |
| Chapters | I. 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 I. 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 Show all ▾ |