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E-grāmata: Collected Papers of Bertrand Russell, Volume 4: Foundations of Logic, 1903-05 [Taylor & Francis e-book]

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Collected Papers of Bertrand Russell, Volume 4: Foundations of Logic, 1903-05Palielināt
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This volume covers the period from the beginning of Whitehead and Russell's work on Volume 2 of the Principles of Mathematics to the critical discovery of the theory of descriptions in 1905. The volume contains a large number of unpublished manuscripts which give a vivd picture of Russell wrestling with the logical paradoxes, often unsuccessfully, as he tries out one foundational scheme after another. Previously unpublished work in the theory of denoting is included, which predates the famous article of 1905. This volume also gathers together several manuscripts on the so-called `zig-zag' theory with which Russell attempted to provide a type-free foundation for mathematics. A number of reviews and survey articles, together with two talks on modality and truth, are also published for the first time.
Abbreviations Introduction Acknowledgements Chronology Part I. Early Foundational Work
1. Classes
2. Relations
3. Functions Part II. The Zig-Zag Theory
4. Outlines of Symbolic Logic
5. On Functions, Classes and Relations
6. On Functions
7. Fundamental Notions
8. On the Functionality of Denoting Complexes
9. On the Nature of Functions
10. On Classes and Relations Part III. The Theory of Denoting
11. On the Meaning and Denotation of Phrases
12. Dependent Variables and Denotation
13. Points about Denoting
14. On Meaning and Denotation
15. On Fundamentals
16. On Denoting Part IV. Philosophy of Logic and Mathematics
17. Meinong's Theory of Complexes and Assumptions
18. The Axiom of Infinity
19. Non-Euclidean Geometry
20. The Existential Import of Propositions
21. The Nature of Truth
22. Necessity and Possibility
23. On the Relation of Mathematics to Symbolic Logic Part V. Philosophical Reviews
24. Recent Work on the Philosophy of Leibniz
25. Review of Couturat
26. Review of Geissler
27. Principia Ethica
28. The Meaning of Good
29. Review of Delaporte
30. Review of Hinton
31. Review of Petronievics
32. Science and Hypothesis
33. Review of Poincare
34. Review of Meinong and Others Appendices I Frege on the Contradiction II Comments on Definitions of Philosophical Terms III Sur la relation des mathematiques a la logistique Missing and Unprinted Papers Contents Textual Notes Bibliographical Index General Index
Alasdair Urquhart, Albert C. Lewis
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