24. A Contribution to the Amazes of Mathematics

Chapters in this book

1. Frontmatter I
2. Acknowledgments V
3. Abbreviations of Peirce’s Works and Archives X
4. Introductory Note XIII
5. Foreword XV
6. Contents XVII
7. General Introduction to Logic of the Future 1
8. Introduction to the Theory of Existential Graphs and Volume 1 14
9. Introduction to Volume 1: History and Applications 37
10. References 122
11. Charles S. Peirce: Writings on Existential Graphs
12. Part I: Reasoning and Diagrams
13. 1. Essays on Reasoning 135
14. 2. Diversions of Definitions 161
15. 3. [Reasoning, Logic and Action] 181
16. 4. Of Reasoning in General 188
17. Part II: Development of Existential Graphs
18. 5. On Logical Graphs 211
19. 6. Positive Logical Graphs (PLG) 262
20. 7. On Logical Graphs (Acad. Graphs) 268
21. 8. On Logical Graphs [Euler and EGs] 282
22. 9. [Memoir for the National Academy of Sciences on Existential Graphs] 292
23. 10. [Six Papers on Existential Graphs] 304
24. 11. On Existential Graphs, F4 331
25. 12. Peripatetic Talks 348
26. Part III: Theory and Application of Existential Graphs
27. 13. The Principles of Logical Graphics 369
28. 14. On the First Principles of Logical Algebra 385
29. 15. On the Basic Rules of Logical Transformation 399
30. 16. A Proposed Logical Notation 419
31. 17. The Simplest Possible Mathematical System 442
32. 18. Multitude and Continuity 470
33. 19. [A System of Existential Graphs] 477
34. 20. Reason’s Conscience 489
35. 21. Topical Geometry 506
36. 22. Logical Analysis of some Demonstrations in high Arithmetic 517
37. 23. A New Deduction of the Properties of Positive Integers 524
38. 24. A Contribution to the Amazes of Mathematics 530
39. 25. Logical Critique of the Creed of Religion 548
40. 26. Assurance through Reasoning 565
41. 27. [Logical Graphs, from the Prescott Book] 586
42. 28. [Existential Graphs, from the Logic Notebook] 595
43. Bibliography of Peirce’s References 642
44. Catalogue of Peirce’s Writings 652
45. Name Index 655
46. Keyword Index 657