Toward Principia Mathematica 1905 08 Collected Papers Vol 5 1st Edition by Bertrand Russell, Gregory H Moore ISBN 0415820987 9780415820981

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Product details:

ISBN 10: 0415820987 

ISBN 13: 9780415820981

Author: Bertrand Russell, Gregory H. Moore

This volume of Bertrand Russell’s Collected Papers finds Russell focused on writing Principia Mathematica during 1905–08. Eight previously unpublished papers shed light on his different versions of a substitutional theory of logic, with its elimination of classes and relations, during 1905-06. A recurring issue for him was whether a type hierarchy had to be part of a substitutional theory. In mid-1907 he began writing up the final version of Principia, now using a ramified theory of types, and eleven unpublished drafts from 1907-08 deal with this. Numerous letters show his thoughts on the process.

The volume’s 80-page introduction covers the evolution of his logic from 1896 until 1909, when volume I of Principia went to the printer.

Table of contents:

Part 1: No-classes theories and substitutional theories (1905–06)

1. The Theory of Implication [1905–06]2. On Some Difficulties in the Theory of Transfinite Numbers and Order Types [1905–06]3. Early Work on the Substitutional Theory [1905]4. Developing the Substitutional Theory [1906–07]5. Two Drafts on Substitution [1906]6. A Paper Withdrawn from Publication [1906]7. Logic in Which Propositions Are Not Entities [1906]8. On the Functional Theory of Propositions, Classes and Relations [1906]9. The Paradoxes of Logic [1906]10. Multiplicative Axiom [1906]11. The Paradox of the Liar [1906]12. List of Propositions [1906]

Part 2: Theories of Truth (1906–08)
13. Two Reviews of Joachim [1906]
14. On the Nature of Truth [1907]
15. The Nature of Truth [1907]
16. William James’s Conception of Truth [1908]

Part 3: From substitutional theories to the ramified theory of types (1906–08)
17. Corrections Required in Present Work [1906]
18. Early Drafts on the Theory of Types [1906–08]
19. Fundamentals [1907]
20. The Regressive Method of Discovering the Premises of Mathematics [1907]
21. “If” and “Imply”, A Reply to Mr. MacColl [1908]
22. Mathematical Logic as Based on the Theory of Types [1908]
23. Partial Drafts of Principia Mathematica [c.1908]

Part 4: Reviews on foundations of mathematics
24. M. Poincaré’s Science et hypothèse [1906]
25. Two Reviews of MacColl [1906]
26. Review of Pastore, Logica formale dedotta dalla considerazione di modelli meccanici [1906]
27. The Study of Logic [1906]
28. Two Reviews of Meinong [1906–07]
29. Mr. Haldane on Infinity [1908]

Part 5: Other philosophical reviews and writings
30. Is Reason Irrational? [1906]
31. Metaphysics for the Man of Action [1907]
32. Spinoza’s Moral Code [1907]
33. Newton’s Philosophy [1908]
34. Determinism and Morals [1908]
35. Review of Essays, Philosophical and Psychological, in Honor of William James [1908]
36. A Reply to Dr. Schiller [1908]

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