Principia mathematica, by Alfred North Whitehead ... and Bertrand Russell.

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CONTENTS

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

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251

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260
269
278
291
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311

Note to Section D.
SECTION E. PRODUCTS AND SUMS OF CLASSES

*40.
*41.
*42.
*43.

Products and Sums of Classes of Classes
The Product and Sum of a Class of Relatin
Miscellaneous Propositions
The Relations of a Relative Product to its

314
317. 319
ns... 331
336
FIactors.. 340

PART II. PROLEGOMENA TO CARDINAL ARITHMETIC.

Summary of Part II

345

SECTION A. UNIT CLASSES AND COUPLES

*50.
*51.
*52.
*53.
*54.
*55.
*56.

Identity and Diversity as Relations
Unit Classes..
The Cardinal Number I
Miscellaneous Propositions involving Unit Classes
Cardinal Couples....
Ordinal Couples...
The Ordinal Number 2..

347
349
356
363
368
376
383
395
404
406
412
414
419
429
434

SECTION B. SUB-CLASSES, SUB-RELATIONS, AND RELATIVE TYPES

*60.
*61.
*62.
*63.
*64.
*65.

The Sub-Classes of a given Class.
The Sub-Relations of a given Relation.
The Relation of Membership of a Class
Relative Types of Classes..
Relative Types of Relations...
On the Typical Definition of Ambiguous Symbols

SECTION C. ONE-MANY, MANY-ONE, AND ONE-ONE RELATIONS.
*70. Relations whose Classes of Referents and of Relata belong to given
Classes......
*71. One-Many, Many-One, and One-One Relations..
*72. Miscellaneous Propositions concerning One-Many, Many-One, and
One-One Relations....
*73. Similarity of Classes...
*74. On One-Many and Many-One Relations with Limited Fields

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446
462
476
490