| INTRODUCTION
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EDITORIAL NOTE
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|
BOOK I. LOGIC AND MATHEMATICS
|
|
PREFACE
| 1
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I. A BOOLIAN ALGEBRA WITH ONE CONSTANT (1880)
| 12
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II. THE ESSENCE OF REASONING (1893)
| 21
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| 1. Some Historical Notes
| 21
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| 2. The Proposition
| 38
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3. The Nature of Inference
| 47
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III. SECOND INTENTIONAL LOGIC (1893)
| 80
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IV. THE LOGIC OF QUANTITY (1893)
| 85
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| 1. Arithmetical Propositions
| 85
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| 2. Transitive and Comparative Relations
| 94
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| 3. Enumerable Collections
| 100
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| 4. Linear Sequences
| 107
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| 5. The Method of Limits
| 113
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| 6. The Continuum
| 121
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| 7. The Immediate Neighborhood
| 125
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| 8. Linear Surfaces
| 128
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| 9. The Logical and the Quantitative Algebra
| 132
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| 10. The Algebra of Real Quaternions
| 138
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11. Measurement
| 142
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V. A THEORY ABOUT QUANTITY (1897)
| 153
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| 1. The Cardinal Numerals
| 153
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| 2. Precepts for the Construction of the System of Abstract Numbers
| 160
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3. Application to the Theory of Arithmetic
| 163
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VI. MULTITUDE AND NUMBER (1897)
| 170
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| 1. The Enumerable
| 170
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| 2. The Denumerable
| 188
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| 3. The Primipostnumeral
| 200
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| 4. The Secundopostnumeral and Larger Collections
| 213
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5. Continua
| 219
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VII. THE SIMPLEST MATHEMATICS (1902)
| 227
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| 1. The Essence of Mathematics
| 227
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| 2. Division of Pure Mathematics
| 245
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| 3. The Simplest Branch of Mathematics(:cell align=right:)250
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4. Trichotomic Mathematics
| 307
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VIII. NOTES ON THE LIST OF POSTULATES OF DR. HUNTINGTON'S SECTION 2 (1904)
| 324
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| IX. ORDINALS (1905)
| 331
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X. ANALYSIS OF SOME DEMONSTRATIONS CONCERNING POSITIVE INTEGERS (1905)
| 341
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BOOK II. EXISTENTIAL GRAPHS
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I. EULER'S DIAGRAMS
| 347
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| 1. Logical Diagram
| 347
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2. Of Euler's Diagrams
| 350
|
II. SYMBOLIC LOGIC
| 372
|
III. EXISTENTIAL GRAPHS
|
|
| A. The Conventions
| 394
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| 1. Alpha Part
| 394
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| 2. Beta Part
| 403
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| 3. Gamma Part
| 409
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| B. Rules of Transformation
| 414
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| 1. Alpha Part
| 414
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2. Beta Part
| 416
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IV. ON EXISTENTIAL GRAPHS, EULER'S DIAGRAMS, AND LOGICAL ALGEBRA
|
| Introduction
| 418
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| Part I. Principles of Interpretation
| 424
|
| A. FUNDAMENTAL CONVENTIONS
| 424
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| 1. Of Conventions Nos. 1 and 2
| 424
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| 2. Of Convention No. 3
| 435
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| 3. Of Conventions Nos. 4 to 9
| 438
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| B. DERIVED PRINCIPLES OF INTERPRETATION
| 454
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| 1. Of the Pseudograph and Connected Signs
| 454
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| 2. Selectives and Proper Names
| 460
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| 3. Of Abstraction and Entia Rationis
| 463
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| C. RECAPITULATION
| 472
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| Part II. The Principles of Illative Transformation
| 475
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| A. BASIC PRINCIPLES
| 475
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| 1. Some and Any
| 475
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| 2. Rules for Dinected Graphs
| 485
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| B. RULES FOR LINES OF IDENTITY
| 499
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C. BASIC CATEGORICAL RULES FOR THE ILLATIVE TRANSFORMATION OF ALL GRAPHS
| 505
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V. THE GAMMA PART OF EXISTENTIAL GRAPHS
| 510
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VI. PROLEGOMENA TO AN APOLOGY FOR PRAGMATICISM
| 530
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| 1. Signs
| 530
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| 2. Collections
| 532
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| 3. Graphs and Signs
| 533
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| 4. Universes and Predicaments
| 539
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5. Tinctured Existential Graphs
| 552
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VII. AN IMPROVEMENT ON THE GAMMA GRAPHS
| 573
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BOOK III. THE AMAZING MAZES
|
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A. THE FIRST CURIOSITY
| 585
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| 1. Statement of the First Curiosity
| 585
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| 2. Explanation of Curiosity the First
| 594
|
3. A Note on Continuity
| 639
|
B. A SECOND CURIOSITY
| 643
|
C. ANOTHER CURIOSITY
| 647
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| 1. Collections and Multitudes
| 647
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| 2. Cardinal and Ordinal Numbers
| 657
|
