Question

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

Answer 1

Well let's see if we have one of the two laws there, then we will move on to false part with don't.
I copied and pasted this from the site: hotmath.com
"In mathematical logic, the Law of Detachment says that if the following two statements are true:

(1) If p, then q.

(2) p

Then we can derive a third true statement:

(3) q.

In mathematical logic, the Law of Syllogism says that if the following two statements are true:

(1) If p, then q.

(2) If q, then r.

Then we can derive a third true statement:

(3) If p, then r."

Answer 2

Looking at the detachment form do we that in our argument?