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Aristotelian assertoric syllogistic ...

Amer, Mohamed A.

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Aristotelian assertoric syllogistic = incorporating the aristotelian Arssertoric syllogistic in the contemporary symbolic logic /

Record Type:	Electronic resources : Monograph/item
Title/Author:	Aristotelian assertoric syllogistic/ by Mohamed A. Amer.
Reminder of title:	incorporating the aristotelian Arssertoric syllogistic in the contemporary symbolic logic /
Author:	Amer, Mohamed A.
Published:	Cham :Springer International Publishing : : 2021.,
Description:	1 online resource (xvi, 98 p.) :ill., digital ;24 cm.
[NT 15003449]:	Acknowledgements -- 1. Formalizations of AAS -- 2. Semantics of AAS -- 3. Decidability -- 4. Basic equivalence of the four formalizations -- 5. Venn soundness and completeness -- 6. Direct way to Venn models -- 7. Variations on NF(C) -- 8. Direct completion of direct deduction -- 9. Models of NF(C) revisited -- 10. Decidability revisited -- 11. Sorites -- 12. Independence -- 13. Algebraic semantics of AAS, a prelude -- 14. Algebraic interpretation of NF(C) -- 15. Annihilators: Embedding the partial into a total -- 16. Back to algebraic interpretation -- 17. Leibniz and Boole -- 18. Inadequacy: bounds of AAS -- Appendix.
Contained By:	Springer Nature eBook
Subject:	Logic, Symbolic and mathematical. -
Online resource:	https://doi.org/10.1007/978-3-030-87341-7
ISBN:	9783030873417

Aristotelian assertoric syllogistic = incorporating the aristotelian Arssertoric syllogistic in the contemporary symbolic logic /
Amer, Mohamed A.

Aristotelian assertoric syllogisticincorporating the aristotelian Arssertoric syllogistic in the contemporary symbolic logic /[electronic resource] :by Mohamed A. Amer. - Cham :Springer International Publishing :2021. - 1 online resource (xvi, 98 p.) :ill., digital ;24 cm. - SpringerBriefs in philosophy,2211-4556. - SpringerBriefs in philosophy..

Acknowledgements -- 1. Formalizations of AAS -- 2. Semantics of AAS -- 3. Decidability -- 4. Basic equivalence of the four formalizations -- 5. Venn soundness and completeness -- 6. Direct way to Venn models -- 7. Variations on NF(C) -- 8. Direct completion of direct deduction -- 9. Models of NF(C) revisited -- 10. Decidability revisited -- 11. Sorites -- 12. Independence -- 13. Algebraic semantics of AAS, a prelude -- 14. Algebraic interpretation of NF(C) -- 15. Annihilators: Embedding the partial into a total -- 16. Back to algebraic interpretation -- 17. Leibniz and Boole -- 18. Inadequacy: bounds of AAS -- Appendix.

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.

ISBN: 9783030873417

Standard No.: 10.1007/978-3-030-87341-7doiSubjects--Topical Terms:

532051
Logic, Symbolic and mathematical.

LC Class. No.: BC135 / A54 2021

Dewey Class. No.: 160

Aristotelian assertoric syllogistic = incorporating the aristotelian Arssertoric syllogistic in the contemporary symbolic logic /
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520 $a 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.
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