The Collected Papers of Bertrand Russell, Volume 4

Foundations of Logic, 1903-05
Erscheinungsjahr 1994
ISBN: 978-0-415-09406-1
Verlag: CRC Press

Buch, Englisch, 808 Seiten, Format (B × H): 156 mm x 234 mm, Gewicht: 3100 g

Reihe: The Collected Papers of Bertrand Russell

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 The volume contains a large number of unpublished manuscripts which give a vivd picture of Russell wrestling with the logical paradoxes, often unsuccessfully, as he tries out one foundational scheme after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 Previously unpublished work in the theory of denoting is included, which predates the famous article of 1905.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.

Zielgruppe

Academic and Postgraduate

Autoren/Hrsg.

Urquhart, Alasdair

Lewis, Albert C.

Fachgebiete

• Geisteswissenschaften Philosophie Philosophie der Mathematik, Philosophie der Physik
• Geisteswissenschaften Philosophie Geschichte der Westlichen Philosophie
• Mathematik | Informatik Mathematik Mathematik Allgemein Philosophie der Mathematik

Inhaltsverzeichnis

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

Über Autor(innen)

Alasdair Urquhart, Albert C. Lewis