This volume shows Russell in transition from a neo-Kantian and neo-Hegelian philosopher to an analytic philosopher of the first rank. During this period his research centred on writing The Principles of Mathematics where he drew together previously unpublished drafts. These shed light on Russell's paradox. This material will alter previous accounts of how he discovered his paradox and the related paradox of the largest cardinal. The volume also includes a previously unpublished draft of an early attempt to solve his paradox, as well as the earliest known version of his generalised relation arithmetic. It contains three articles which have never previously been published in English.
Arvustused
`This will be an invaluable tool for those working on Russell's philosophy, while shedding light on the whole development of the foundations of mathematics around the turn of the century.' - Philosophia Mathematica
Introduction Part 1: No-classes theories and substitutional theories
1905 06
1. The Theory of Implication [ 190506]
2. On Some Difficulties in
the Theory of Transfinite Numbers and Order Types [ 190506]
3. Early Work on
the Substitutional Theory [ 1905]
4. Developing the Substitutional Theory
[ 190607]
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 A Paper Withdrawn from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 Jamess Conception of Truth [ 1908]
Part 3: From substitutional theories to the ramified theory of types 1906
08
17. Corrections Required in PresentWork [ 1906]
18. Early Drafts on the
Theory of Types [ 190608]
19. Fundamentals [ 1907]
20. The RegressiveMethod 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. Poincarés 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 [ 190607]
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.
SpinozasMoral Code [ 1907]
33. Newtons 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] Appendices Index
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