Aristotle's Modal Proofs Prior Analytics A8-22 in Predicate Logic /

• Main Author: Rini, Adriane (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Dordrecht : Springer Netherlands, 2011.
• Series: The New Synthese Historical Library ; 68
• Subjects: Philosophy.; Philosophy, Ancient.; Logic.; History of Philosophy.; Classical Philosophy.

Aristotle’s modal syllogistic is his study of patterns of reasoning about necessity and possibility. Many scholars think the modal syllogistic is incoherent, a ‘realm of darkness’. Others think it is coherent, but devise complicated formal modellings to mimic Aristotle’s results. This volume provide...

Table of Contents:

• 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.