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Available4.7
37 reviews
ISBN 10: 0521626064
ISBN 13: 9780521626064
Author: North Whitehead, Bertrand Russell
CHAPTER I. PRELIMINARY EXPLANATIONS OF IDEAS AND NOTATIONS
CHAPTER II. THE THEORY OP LOGICAL TYPES
CHAPTER III. INCOMPLETE SYMBOLS
PART I. MATHEMATICAL LOGIC
Summary of Part
SECTION A. THE THEORY OF DEDUCTION
*1. Primitive Ideas and Propositions
*2. Immediate Consequences of the Primitive Propositions
*3. The Logical Product of two Propositions
*4. Equivalence and Formal Rules
*5. Miscellaneous Propositions
SECTION B. THEORY OF APPARENT VARIABLES
*9. Extension of the Theory of Deduction from Lower to Higher Types of Propositions
*10. Theory of Propositions containing one Apparent Variable
*11. Theory of two Apparent Variables
*12. The Hierarchy of Types and the Axiom of Reducibility
*13. Identity
*14. Descriptions
SECTION C. CLASSES AND RELATIONS
*20. General Theory of Classes
*21. General Theory of Relations
*22. Calculus of Classes
*23. Calculus of Relations
*24. The Universal Class, the Null Class, and the Existence of Classes
*25. The Universal Relation, the Null Relation, and the Existence of Relations
SECTION D. LOGIC OF RELATIONS
*30. Descriptive Functions
*31. Converses of Relations
*32. Referents and Relata of a given Term with respect to a given Relation
*33. Domains, Converse Domains, and Fields of Relations
*34. The Relative Product of two Relations
*35. Relations with Limited Domains and Converse Domains
*36. Relations with Limited Fields
*37. Plural Descriptive Functions
*38. Relations and Classes derived from a Double Descriptive Function
Note to Section D
SECTION E. PRODUCTS AND SUMS OF CLASSES
*40. Products and Sums of Classes of Classes
*41. The Product and Sum of a Class of Relations
*42. Miscellaneous Propositions
*43. The Relations of a Relative Product to its Factors
PART II. PROLEGOMENA TO CARDINAL ARITHMETIC
Summary of Part II, Section A
SECTION A UNIT CLASSES AND COUPLES
*50. Identity and Diversity as Relations
*51. Unit Classes
*52. The Cardinal Number I
*53. Miscellaneous Propositions involving Unit Classes
*54. Cardinal Couples
*55. Ordinal Couples
*56. The Ordinal Number 2
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Tags: North Whitehead, Bertrand Russell, Principia Mathematica
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