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Foundations of logic, 1903-05

Author: Bertrand Russell; Alasdair Urquhart; Albert C Lewis
Publisher: London ; New York : Routledge, 1994.
Edition/Format:   Book : EnglishView all editions and formats
Database:WorldCat
Summary:
This volume covers the period from the beginning of Russell's work on Volume Two of the Principles of Mathematics to the critical discovery of the theory of descriptions in 1905. Foundations of Logic gives a vivid picture of Russell wrestling with the logical paradoxes, often unsuccessfully, as he tries out one foundational scheme after another. This volume provides the key to both Bertrand Russell's philosophy of  Read more...
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Named Person: Bertrand Russell
Document Type: Book
All Authors / Contributors: Bertrand Russell; Alasdair Urquhart; Albert C Lewis
ISBN: 0415094062 9780415094061
OCLC Number: 28421716
Description: lii, 743 pages : illustrations, portraits, facsimiles ; 25 cm.
Contents: Part I. Early foundational work. 1. Classes 1903 ---
2. Relations 1903 ---
3. Functions 1903 ----
Part II. The Zig-Zag theory. 4. Outlines of Symbolic Logic 1904 ---
5. On Functions Classes and Relations 1904 ---
6. On functions 1904 ---
7. Fundamental Notions 1904 ---
8. On the Functionality of Denoting Complexes 1904 ---
9. On the nature of functions 1904 ---
10. On Classes and Relations 1905 ----
Part III. The theory of denoting. 11. On the Meaning and Denotation of Phrases 1903 ---
12. Dependent Variables and Denotation 1903 ---
13. Points about Denoting 1903 ---
14. On Meaning and Denotation 1903 ---
15. On Fundamentals 1905 ---
16. On Denoting 1005 ----
Part IV. Philosophy of logic and mathematics. 17. Meinong's Theory of Complexes and Assumptions 1904 ---
18. The Axiom of Infinity 1004 ---
19. Non-Euclidean Geometry 1904 ---
20. The Existential Import of Propositions 1905 ---
21. The Nature of Truth 1905 ---
22. Necessity and Possibility 1905 ---
23. On the relation of mathematics to symbolic logic 1905 ----
Part V. Philosophical reviews. Headnote to Two Reviews of Work on Leibniz 24-25 . 24. Recent Work on the Philosophy of Leibniz 1903 ---
25. Review of Couturat, Opuscules et fragments inédits de Leibniz 1904 ---
26. Review of Geissler, Die Grundsätze und das Wesen des Unendlichen in der Mathematik und Philosophie 1903 ---
27. Principia Ethica 1903 ---
28. The Meaning of Good 1904 ---
29. Review of Delaporte, Essai philosophique sur les géométries non-euclidiennes 1904 ---
30. Review of Hinton, The Fourth Dimension 1904 ---
31. Review of Petronievics, Principien der Metaphysik 1905 ---
32. Science and Hypothesis 1905 ---
33. Review of Poincaré, Science and Hypothesis 1905 ---
34. Review of Meinong and others, Untersuchungen zur Gegenstandstheorie und Psychologie 1905 -----
Appendices. 1. Frege on the Contradiction ---
2. Comments on Definitions of Philosophical Terms ---
3. Sur la relation des mathématiques à la logistique .
Responsibility: Bertrand Russell ; edited by Alasdair Urquhart with the assistance of Albert C. Lewis.
More information:

Abstract:

This volume covers the period from the beginning of Russell's work on Volume Two of the Principles of Mathematics to the critical discovery of the theory of descriptions in 1905. Foundations of Logic gives a vivid picture of Russell wrestling with the logical paradoxes, often unsuccessfully, as he tries out one foundational scheme after another. This volume provides the key to both Bertrand Russell's philosophy of logic and philosophy of mathematics. It includes unpublished work on the theory of denoting which predates Russell's famous article of 1905 and unpublished manuscripts on the so-called "zig-zag" theory with which Russell attempted to provide a type-free foundation for mathematics. The volume also gathers together for the first time a number of reviews and survey articles, along with two talks on modality and truth. It will be an essential addition to any Bertrand Russell collection.-- Publisher description.

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