Mohamed A. Amer
Springer International Publishing
e druk, 2022
9783030873400
Aristotelian Assertoric Syllogistic
Incorporating the Aristotelian Assertoric Syllogistic in the Contemporary Symbolic Logic
Specificaties
Paperback, blz.
|
Engels
Springer International Publishing |
e druk, 2022
ISBN13: 9783030873400
Rubricering
Onderdeel van serie
SpringerBriefs in Philosophy
Verwachte levertijd ongeveer 9 werkdagen
Samenvatting
This book is a treatise on Aristotelian assertoric syllogistic, which is currently of growing interest. Some centuries ago, it attracted the attention of the founders of modern logic, who approached it in several (semantical and syntactical) ways. Further approaches were introduced later on. In this book these approaches (with few exceptions) are discussed, developed and interrelated. Among other things, different facets of soundness, completeness, decidability, and independence for Aristotelian assertoric syllogistic are investigated. Specifically arithmetization (Leibniz), algebraization (Leibniz and Boole), and Venn models (Euler and Venn) are examined. The book is aimed at scholars in the fields of logic and history of logic.
Specificaties
ISBN13:9783030873400
Taal:Engels
Bindwijze:paperback
Uitgever:Springer International Publishing
Inhoudsopgave
<div>1. Formalizations of AAS</div><div>2. Semantics of AAS</div><div>3. Decidability</div><div>4. Basic equivalence of the four formalizations</div><div>5. Venn soundness and completeness</div><div>6. Direct way to Venn models</div><div>7. Variations on NF(C)</div><div>8. Direct completion of direct deduction</div><div>9. Models of NF(C) revisited</div><div>10. Decidability revisited</div><div>11. Sorites</div><div>12. Independence</div><div>13. Algebraic semantics of AAS, a prelude</div><div><div>14. Algebraic interpretation of NF(C)</div><div>15. Annihilators: Embedding the partial into a total</div><div>16. Back to algebraic interpretation</div><div>17. Leibniz and Boole</div><div>18. Inadequacy: bounds of AAS</div><div>Acknowledgements</div><div>Appendix</div></div>
