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