An algebraic analysis of categorical syllogisms by using Carroll’s diagrams

DOI10.2298/FIL1902367SzbMath1499.03009OpenAlexW2995593759MaRDI QIDQ5080304

Tahsin Oner, Ibrahim Senturk

Publication date: 31 May 2022

Published in: Filomat (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2298/fil1902367s

zbMATH Keywords

completenessvalidityalgebraic logiccategorical syllogisms

Mathematics Subject Classification ID

Preorders, orders, domains and lattices (viewed as categories) (18B35) Abstract deductive systems (03B22) Abstract algebraic logic (03G27)

Related Items (2)

A new algorithmic decision for categorical syllogisms via Carroll's diagrams ⋮ A novel algorithmic construction for deductions of categorical polysyllogisms by Carroll's diagrams

Cites Work

• An algebraic study of Peterson's intermediate syllogisms
• Linear diagrams for syllogisms (with relationals)
• Algebraic foundations of many-valued reasoning
• Traffic signal control on similarity logic reasoning.
• Algebraic Analysis of Many Valued Logics
• A New Proof of the Completeness of the Lukasiewicz Axioms
• LOGICS FOR THE RELATIONAL SYLLOGISTIC
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: An algebraic analysis of categorical syllogisms by using Carroll’s diagrams