Verification of Validity of Logical Syllogisms with New Forms of Intermediate Quantifiers Based on Grades

Key Points

• Validating fuzzy Peterson syllogisms reveals potential insights on their logical structure and applicability.
• Key evidence shows the construction of formal proofs and semantic verification significantly impacts validity assessments.
• Investigation uses grade-based rules to analyze logical syllogisms, assessing their effectiveness through new intermediate quantifiers.
• Findings suggest that these approaches can enhance understanding of deductive reasoning, emphasizing the importance of formalization.