#syllogism — Public Fediverse posts

Functional Logic • Inquiry and Analogy • 5

Inquiry and Analogy • Aristotle’s “Paradigm” • Reasoning by Analogy

Aristotle examines the subject of analogical inference or “reasoning by example” under the heading of the Greek word παραδειγμα, from which comes the English word paradigm.  In its original sense the word suggests a kind of “side‑show”, or a parallel comparison of cases.

We have an Example (παραδειγμα, or analogy) when the major extreme is shown to be applicable to the middle term by means of a term similar to the third.  It must be known both that the middle applies to the third term and that the first applies to the term similar to the third.

E.g., let A be “bad”, B “to make war on neighbors”, C “Athens against Thebes”, and D “Thebes against Phocis”.  Then if we require to prove that war against Thebes is bad, we must be satisfied that war against neighbors is bad.  Evidence of this can be drawn from similar examples, e.g., that war by Thebes against Phocis is bad.  Then since war against neighbors is bad, and war against Thebes is against neighbors, it is evident that war against Thebes is bad.

Aristotle, “Prior Analytics” 2.24, Hugh Tredennick (trans.)

Figure 6 shows the logical relationships involved in Aristotle’s example of analogy.

Resources

• Logic Syllabus
• Boolean Function
• Boolean-Valued Function
• Logical Conjunction
• Minimal Negation Operator
• Functional Logic • Part 1 • Part 2 • Part 3
• Cactus Language • Part 1 • Part 2 • Part 3 • References • Document History

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#ShareYourWork Summary of my review of Catarina Dutilh Novaes’ (CDN) 2020 book, The Dialogical Roots of Deduction. In my view, the book is critical to understanding the role, if any, of #deduction and the #syllogism in #LegalReasoning and #LegalArgumentation. As the book’s subtitle suggests, it explores the #history, #CognitiveScience, and #philosophy of deduction. TL;dr in next entry of thread, links at the end. #ShareYouWork 1/10
#defeasible #DefeasibleArgument #Defeasibility

#ShareYourWork Summary of my review of Catarina Dutilh Novaes’ (CDN) 2020 book, The Dialogical Roots of Deduction. In my view, the book is critical to understanding the role, if any, of #deduction and the #syllogism in #LegalReasoning and #LegalArgumentation. As the book’s subtitle suggests, it explores the #history, #CognitiveScience, and #philosophy of deduction. TL;dr in next entry of thread, links at the end. #ShareYouWork 1/10
#defeasible #DefeasibleArgument #Defeasibility

#ShareYourWork Summary of my review of Catarina Dutilh Novaes’ (CDN) 2020 book, The Dialogical Roots of Deduction. In my view, the book is critical to understanding the role, if any, of #deduction and the #syllogism in #LegalReasoning and #LegalArgumentation. As the book’s subtitle suggests, it explores the #history, #CognitiveScience, and #philosophy of deduction. TL;dr in next entry of thread, links at the end. #ShareYouWork 1/10
#defeasible #DefeasibleArgument #Defeasibility

#ShareYourWork Summary of my review of Catarina Dutilh Novaes’ (CDN) 2020 book, The Dialogical Roots of Deduction. In my view, the book is critical to understanding the role, if any, of #deduction and the #syllogism in #LegalReasoning and #LegalArgumentation. As the book’s subtitle suggests, it explores the #history, #CognitiveScience, and #philosophy of deduction. TL;dr in next entry of thread, links at the end. #ShareYouWork 1/10
#defeasible #DefeasibleArgument #Defeasibility

#ShareYourWork Summary of my review of Catarina Dutilh Novaes’ (CDN) 2020 book, The Dialogical Roots of Deduction. In my view, the book is critical to understanding the role, if any, of #deduction and the #syllogism in #LegalReasoning and #LegalArgumentation. As the book’s subtitle suggests, it explores the #history, #CognitiveScience, and #philosophy of deduction. TL;dr in next entry of thread, links at the end. #ShareYouWork 1/10
#defeasible #DefeasibleArgument #Defeasibility