Question

 

Apply quantification rules to prove the validity/invalidity of the following syllogistic arguments.

11 Sep 2025
Answer :
Word Count : 510
In tribal philosophical contexts arguments about social roles and values are often expressed in ordinary language; translating those claims into quantified logic (predicate calculus) makes validity clear. I use predicates drawn from tribal life: E(x)=“x is an elder”, S(x)=“x is a storyteller”, G(x)=“x is a guardian”, H(x)=“x is a healer”, Sh(x)=“x is a shaman”, L(x)=“x is a leader”, and Ht(x)=“x is a hunter”. I show three short proofs (two valid, one invalid) using standard quantifier rules: Universal Instantiation (UI), Existential Instantiation (EI), Modus Ponens (MP), Existential Generalization (EG). Valid example 1 (universal chain — transitivity): Premises: (1) ∀x \[E(x) → S(x)] (All ___ ________ ________ _________ _____ _____ ________.
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