12. Particular Necessity Propositions

Chapters in this book

1. Frontmatter i
2. Contents vii
3. Acknowledgments ix
4. Abbreviations of Aristotle’s Works xi
5. Introduction 1
6. I. The Assertoric Syllogistic
7. 1. Categorical Propositions 19
8. 2. The dictum de omni 34
9. 3. The Orthodox dictum Semantics 45
10. 4. The Heterodox dictum Semantics 63
11. 5. The Preorder Semantics 73
12. 6. Ecthesis 86
13. II. The Apodeictic Syllogistic
14. 7. The Apodeictic dictum de omni 103
15. 8. Barbara NXN and the Four Predicables 114
16. 9. Categories in the Topics 134
17. 10. Essence Terms and Substance Terms 152
18. 11. Universal Negative Necessity Propositions 168
19. 12. Particular Necessity Propositions 177
20. III. The Problematic Syllogistic
21. 13. Modal Opposition 191
22. 14. Establishing Inconcludence 211
23. 15. A Deductive System for the Modal Syllogistic 223
24. 16. The Validity of XQM-Moods 232
25. 17. Two-Sided Possibility Propositions 248
26. 18. One-Sided Possibility Propositions 261
27. Appendix A: Aristotle’s Claims of Validity, Invalidity, and Inconcludence 273
28. Appendix B: The Predicable Semantics of the Modal Syllogistic 286
29. Appendix C: Aristotle’s Terms 326
30. Bibliography 337
31. Index of Names 349
32. Index of Passages 353
33. Index of Subjects 361