| Introduction
|
|
| Paper 01.
| On an Improvement in Boole’s Calculus of Logic (1867)
| 1
|
| Paper 02.
| Upon the Logic of Mathematics (1867)
| 20
|
| 1.
| The Boolian Calculus
| 20
|
| 2.
| On Arithmetic
| 42
|
| Paper 03.
| Description of a Notation for the Logic of Relatives, Resulting from an Amplification of the Conceptions of Boole's Calculus Of Logic (1870)
| 45
|
| 1.
| De Morgan's Notation
| 45
|
| 2.
| General Definitions of the Algebraic Signs
| 47
|
| 3.
| Application of the Algebraic Signs to Logic
| 62
|
| 4.
| General Formulæ
| 81
|
| 5.
| General Method of Working with this Notation
| 89
|
| 6.
| Properties of Particular Relative Terms
| 135
|
| Paper 04.
| On the Application of Logical Analysis to Multiple Algebra (1875)
| 150
|
| Paper 05.
| Note On Grassmann's Calculus of Extension (1877)
| 152
|
| Paper 06.
| On the Algebra of Logic (1880)
| 154
|
| Part I.
| Syllogistic
| 154
|
| 1.
| Derivation of Logic
| 154
|
| 2.
| Syllogism and Dialogism
| 162
|
| 3.
| Forms of Propositions
| 173
|
| 4.
| The Algebra of the Copula
| 182
|
| Part II.
| The Logic of Non-Relative Terms
| 198
|
| 1.
| The Internal Multiplication and the Addition of Logic
| 198
|
| 2.
| The Resolution of Problems in Non-Relative Logic
| 204
|
| Part III
| The Logic of Relatives
| 214
|
| 1.
| Individual and Simple Terms
| 214
|
| 2.
| Relatives
| 218
|
| 3.
| Relatives connected by Transposition of Relate and Correlate
| 223
|
| 4.
| Classification of Relatives
| 225
|
| 5.
| The Composition of Relatives
| 236
|
| 6.
| Methods in the Algebra of Relatives
| 245
|
| 7.
| The General Formulæ for Relatives
| 248
|
| Paper 07.
| On the Logic of Number (1881)
| 252
|
| 1.
| Definition of Quantity
| 252
|
| 2.
| Simple Quantity
| 255
|
| 3.
| Discrete Quantity
| 257
|
| 4.
| Semi-infinite Quantity
| 260
|
| 5.
| Discrete Simple Quantity Infinite in both Directions
| 272
|
| 6.
| Limited Discrete Simple Quantity
| 280
|
| Paper 08.
| Associative Algebras
| 289
|
| 1.
| On the Relative Forms of the Algebras
| 289
|
| 2.
| On the Algebras in which Division is Unambiguous
| 297
|
| Paper 09.
| Brief Description of the Algebra of Relatives (1882)
| 306
|
| Paper 10
| On the Relative Forms of Quaternions (1882)
| 323
|
| Paper 11.
| On a Class of Multiple Algebras (1882)
| 324
|
| Paper 12.
| The Logic of Relatives (1883)
| 328
|
| Paper 13.
| On the Algebra of Logic: A Contribution to the Philosophy of Notation (1885)
| 359
|
| 1.
| Three Kinds of Signs
| 359
|
| 2.
| Non-Relative Logic
| 365
|
| 3.
| First-Intentional Logic of Relatives
| 392
|
| 4.
| Second-Intentional Logic
| 398
|
| 5.
| Note
| 403
|
| Paper 14.
| The Critic of Arguments (1892)
| 404
|
| 1.
| Exact Thinking
| 404
|
| 2.
| The Reader is Introduced to Relatives
| 415
|
| Paper 15.
| The Regenerated Logic (1896)
| 425
|
| Paper 16.
| The Logic of Relatives (1897)
| 456
|
| 1.
| Three Grades of Clearness
| 456
|
| 2.
| Of the Term Relation in its First Grade of Clearness
| 458
|
| 3.
| Of Relation in the Second Grade of Clearness
| 464
|
| 4.
| Of Relation in the Third Grade of Clearness
| 468
|
| 5.
| Triads, the Primitive Relatives
| 483
|
| 6.
| Relatives of Second Intention
| 488
|
| 7.
| The Algebra of Dyadic Relatives
| 492
|
| 8.
| General Algebra of Logic
| 499
|
| 9.
| Method of Calculating with the General Algebra
| 503
|
| 10.
| Schröder's Conception of Logical Problems
| 510
|
| 11.
| Professor Schröder's Pentagrammatical Notation
| 520
|
| 12.
| Professor Schröder's Iconic Solution of x∠φx
| 523
|
| 13.
| Introduction to the Logic of Quantity
| 526
|
| Paper 17.
| The Logic of Mathematics in Relation to Education (1898)
| 553
|
| 1.
| Of Mathematics in General
| 553
|
| 2.
| Of Pure Number
| 562
|
| Paper 18.
| Infinitesimals (1900
| 563
|
| Paper 19.
| Nomenclature and Divisions of Dyadic Relations (1903)
| 571
|
| 1.
| Nomenclature
| 571
|
| 2.
| First System of Divisions
| 578
|
| 3.
| Second System of Divisions
| 583
|
| 4.
| Third System of Divisions
| 588
|
| 5.
| Fourth System of Divisions
| 601
|
| 6.
| Note on the Nomenclature and Divisions of Modal Dyadic Relations
| 606
|
| Paper 20.
| Notes on Symbolic Logic and Mathematics (1901 & 1911)
| 609
|
| Appendix on Nonions
| 646
|
