Principia mathematica, vol. 1 (of 3) Papyras Classics

Principia mathematica, vol. 1 (of 3)

by Alfred North Whitehead

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Contents

  1. Errata
  2. Preface
  3. Introduction
  4. Chapter I. Preliminary Explanations of Ideas and Notations
  5. Chapter II. The Theory of Logical Types
  6. Chapter III. Incomplete Symbols
  7. Summary of Part I
  8. Section A. The Theory of Deduction
  9. 1. Primitive Ideas and Propositions
  10. *2. Immediate Consequences of the Primitive Propositions
  11. *3. The Logical Product of Two Propositions
  12. *4. Equivalence and Formal Rules
  13. *5. Miscellaneous Propositions
  14. *9. Extension of the Theory of Deduction from Lower to Higher Types of Propositions
  15. *10. Theory of Propositions Containing One Apparent Variable
  16. *11. Theory of Two Apparent Variables
  17. *12. The Hierarchy of Types and the Axiom of Reducibility
  18. *13. Identity
  19. *14. Descriptions
  20. *20. General Theory of Classes
  21. *21. General Theory of Relations
  22. *22. Calculus of Classes
  23. *23. Calculus of Relations
  24. *24. The Universal Class, the Null-Class, and the Existence of Classes
  25. *25. The Universal Relation, the Null Relation, and the Existence of Relations
  26. Section D. Logic of Relations
  27. *30. Descriptive Functions
  28. *31. Converses of Relations
  29. *32. Referents and Relata of a Given Term with Respect to a Given Relation
  30. *33. Domains, Converse Domains, and Fields of Relations
  31. *34. The Relative Product of Two Relations
  32. *35. Relations with Limited Domains and Converse Domains
  33. *36. Relations with Limited Fields
  34. *37. Plural Descriptive Functions
  35. *38. Relations and Classes Derived from a Double Descriptive Function
  36. Note to Section D
  37. Section E. Products and Sums of Classes
  38. *40. Products and Sums of Classes of Classes
  39. *41. The Product and Sum of a Class of Relations
  40. *42. Miscellaneous Propositions
  41. *43. The Relations of a Relative Product to Its Factors
  42. Summary of Part II
  43. Section A. Unit Classes and Couples
  44. *50. Identity and Diversity as Relations
  45. *51. Unit Classes
  46. *52. The Cardinal Number 1
  47. *53. Miscellaneous Propositions Involving Unit Classes
  48. *54. Cardinal Couples
  49. *55. Ordinal Couples
  50. *56. The Ordinal Number
  51. Section B. Sub-Classes, Sub-Relations, and Relative Types
  52. *60. The Sub-Classes of a Given Class
  53. *61. The Sub-Relations of a Given Relation
  54. *62. The Relation of Membership of a Class
  55. *63. Relative Types of Classes
  56. *64. Relative Types of Relations
  57. *65. On the Typical Definition of Ambiguous Symbols
  58. Section C. One-Many, Many-One, and One-One Relations
  59. *70. Relations Whose Classes of Referents and of Relata Belong to Given Classes
  60. *71. One-Many, Many-One, and One-One Relations
  61. *72. Miscellaneous Propositions Concerning One-Many, Many-One, and One-One Relations
  62. *73. Similarity of Classes
  63. *74. On One-Many and Many-One Relations with Limited Fields
  64. Section D. Selections
  65. *80. Elementary Properties of Selections
  66. *81. Selections from Many-One Relations
  67. *82. Selections from Relative Products
  68. *83. Selections from Classes of Classes
  69. *84. Classes of Mutually Exclusive Classes
  70. *85. Miscellaneous Propositions
  71. *88. Conditions for the Existence of Selections
  72. Section E. Inductive Relations
  73. *90. On the Ancestral Relation
  74. *91. On Powers of a Relation
  75. *92. Powers of One-Many and Many-One Relations
  76. *93. Inductive Analysis of the Field of a Relation
  77. *94. On Powers of Relative Products
  78. *95. On the Equi-Factor Relation
  79. *96. On the Posterity of a Term
  80. *97. Analysis of the Field of a Relation Into Families

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