All fish swim. A barracuda is a fish. Conjecture: Barracudas swim. Use deductive reasoning to verify the conjecture, or provide a counterexample if the conjecture is false. A. true; law of detachment B. true; law of syllogism C. false; barracudas do not swim D. false; only some barracudas swim

Question

Andres Galloway

Mathematics

7 July, 17:31

All fish swim. A barracuda is a fish. Conjecture: Barracudas swim. Use deductive reasoning to verify the conjecture, or provide a counterexample if the conjecture is false. A. true; law of detachment B. true; law of syllogism C. false; barracudas do not swim D. false; only some barracudas swim

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Heidi Arroyo · Answer 1

True, Law of Syllogism.

This law states that two conditional statements (in this case being All fish swim and A barracuda is a fish) then a conclusion can be drawn based on the hypothesis of one of those statements with the conclusion of the other (A barracuda is a fish, so it must swim).

P - - > Q, Q - - > R

(P and Q are your conditional statements, R is your conclusion based on one of them that logically makes sense).