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E-grāmata: Collected Papers of Bertrand Russell, Volume 5: Toward Principia Mathematica, 190508 [Taylor & Francis e-book]

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Collected Papers of Bertrand Russell, Volume 5: Toward Principia Mathematica, 190508Palielināt
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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 Eight previously unpublished papers shed light on his different versions of a substitutional theory of logic, with its elimination of classes and relations, during 1905-06.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 In mid-1907 he began writing up the final version of Principia, now using a ramified theory of types, and eleven unpublished drafts from 1907-08 deal with this.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.

Illustrations
x
Abbreviations xii
Introduction xiii
Acknowledgements xciii
Chronology xcv
PART I NO-CLASSES THEORIES AND SUBSTITUTIONAL THEORIES, 1905--06
General Headnote to Part I
3(11)
1 The Theory of Implication [ 1905--06]
14(48)
2 On Some Difficulties in the Theory of Transfinite Numbers and Order Types [ 1905--06]
62(28)
3 Early Work on the Substitutional Theory [ 1905]
90(14)
a A Letter to Hardy on Substitution
93(4)
b On Substitution
97(7)
4 Developing the Substitutional Theory [ 1906--07]
104(22)
a Substitution
106(7)
b A Theory of Determination
113(6)
c *20ff
119(5)
d Verbal Definitions
124(1)
e A Paradox of the Substitutional Theory
125(1)
5 Two Drafts on Substitution [ 1906]
126(110)
a On Substitution
129(104)
b A Partial Draft
233(3)
6 A Paper Withdrawn from Publication [ 1906]
236(26)
a On the Substitutional Theory of Classes and Relations: Abstract
241(2)
b On the Substitutional Theory of Classes and Relations
243(19)
7 Logic in Which Propositions Are Not Entities [ 1906]
262(6)
8 On the Functional Theory of Propositions, Classes and Relations [ 1906]
268(5)
9 The Paradoxes of Logic [ 1906]
273(24)
10 Multiplicative Axiom [ 1906]
297(20)
11 The Paradox of the Liar [ 1906]
317(58)
a The Paradox of the Liar
320(49)
b A Partial Draft
369(6)
12 List of Propositions [ 1906]
375(42)
PART II THEORIES OF TRUTH, 1906--08
General Headnote to Part II
417(2)
13 Two Reviews of Joachim [ 1906]
419(14)
a What Is Truth?
423(4)
b Review of Joachim, The Nature of Truth
427(6)
14 On the Nature of Truth [ 1907]
433(22)
15 The Nature of Truth [ 1907]
455(10)
16 William James's Conception of Truth [ 1908]
465(24)
PART III FROM SUBSTITUTIONAL THEORIES TO THE RAMIFIED THEORY OF TYPES, 1906--08
General Headnote to Part III
489(3)
17 Corrections Required in Present Work [ 1906]
492(3)
18 Early Drafts on the Theory of Types [ 1906--08]
495(41)
a Types
498(17)
b On Types
515(5)
c Notes on Types
520(5)
d Fourth Theory
525(4)
e Individuals
529(7)
19 Fundamentals [ 1907]
536(35)
20 The Regressive Method of Discovering the Premises of Mathematics [ 1907]
571(10)
21 "If" and "Imply", A Reply to Mr. MacColl [ 1908]
581(4)
22 Mathematical Logic as Based on the Theory of Types [ 1908]
585(41)
23 Partial Drafts of Principia Mathematica [ c.1908]
626(33)
a *10. Theory of One Apparent Variable
629(3)
b Deduction of Theory of Propositions of Higher Type from That of Those of Lower Type
632(3)
c *27. The Hierarchy of Types
635(6)
d *92. The Schroder-Bernstein Theorem
641(4)
e *130. Selections from Relations
645(14)
PART IV REVIEWS ON FOUNDATIONS OF MATHEMATICS
24 M. Poincare's Science et hypothese [ 1906]
659(2)
25 Two Reviews of MacColl [ 1906]
661(15)
a Review of MacColl, Symbolic Logic and Its Applications, in the Athenaeum
666(4)
b Review of MacColl, Symbolic Logic and Its Applications, in Mind
670(6)
26 Review of Pastore, Logica formale dedotta dalla considerazione di modelli meccanici [ 1906]
676(2)
27 The Study of Logic [ 1906]
678(2)
28 Two Reviews of Meinong [ 1906--07]
680(13)
a Review of Meinong, Uber die Erfahrungsgrundlagen unseres Wissens [ 1906]
685(4)
b Review of Meinong, Uber die Stellung der Gegenstands-theorie im System der Wissenschaften [ 1907]
689(4)
29 Mr. Haldane on Infinity [ 1908]
693(8)
PART V OTHER PHILOSOPHICAL REVIEWS AND WRITINGS
30 Is Reason Irrational? [ 1906]
701(4)
31 Metaphysics for the Man of Action [ 1907]
705(8)
32 Spinoza's Moral Code [ 1907]
713(3)
33 Newton's Philosophy [ 1908]
716(3)
34 Determinism and Morals [ 1908]
719(10)
35 Review of Essays, Philosophical and Psychological, in Honor of William James [ 1908]
729(6)
36 A Reply to Dr. Schiller [ 1908]
735(8)
APPENDICES
I Les Paradoxes de la logique [ 1906]
743(19)
II Comments on Definitions of Philosophical Terms [ 1905--06]
762(3)
III Notes on Ward's Comments on The Principles of Mathematics [ 1905]
765(5)
IV Berry's Letters to Russell [ 1904--10]
770(13)
Missing And Unprinted Texts 783(2)
Annotation 785(54)
Textual Notes 839(44)
Bibliographical Index 883(24)
Symbols Index 907(16)
General Index 923
Bertrand Russell, Gregory Moore
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