Aristotle's Modal Proofs

Adriane Rini received an A.B. in philosophy at Smith College, and a Ph.D. at the University of Massachusetts-Amherst. She is the author of numerous articles on the history of modal logic. In 2003, she was awarded a Marsden Grant from the Royal Society of New Zealand for her research on Aristotle’s logic. Subsequently, she has been working on a book, together with M.J. Cresswell, about the world-time parallel. In 2010, Rini is working on a project on the development of Quine’s attitude to modal logic, for which she has been awarded a four month fellowship from the Royal Flemish Academy of Belgium for Science and the Arts. Rini has taught at the University of Massachusetts-Amherst, the University of California-Davis, Texas A&M University, Victoria University Wellington, and at Massey University, where she is currently a senior lecturer in philosophy.

Acknowledgements.- Introduction.- Part I: Modern Methods for Ancient Logic.- 1. The Non-Modal Syllogistic: An.Pr. A1-7.- 2. The Assertoric Syllogistic in LPC.- 3. A Realm of Darkness.- 4. Technicolour Terms.- 5. Representing Modality.- Part II: Necessity in the Syllogistic: An. Pr. 8-12.- 6. Syllogizing in Red: Trivializing the Modals.- 7. First-Figure Mixed Apodeictic Syllogisms.- 8. Modal Conversion in the Apodeictic Syllogistic.- 9. Against the Canonical Listings.- 10. Apodeictic Possibility.- Part III: Contingency in the Syllogistic: An. Pr. 13-22.- 11. Contingency (A13, A14).- 12. Realizing Possibilities.- 13. Barbara XQM.- 14. First Figure X+Q (A15).- 15. First Figure L+Q, Q+L (A16).- 16. Contingency in the 2nd Figure (A17, A18, A19).- 17. Contingency in the 3rd Figure (A20, A21, A22).- 18. Summary and Conclusion.- Appendix: The LPC Framework.- Bibliography.- Index.