1. The Law of Detachment is an application of inductive reasoning.
2. Deductive reasoning is only useful in geometry.
3. If all marbles in a bag are red, and all red marbles weigh 3 oz., then all 3 oz. marbles are red.
4. If p→q is true, then ~q→~p is true.
5. If p is true and q is false, then p→q is true.
Thank you, much appreciated. =)
2. Deductive reasoning is only useful in geometry.
3. If all marbles in a bag are red, and all red marbles weigh 3 oz., then all 3 oz. marbles are red.
4. If p→q is true, then ~q→~p is true.
5. If p is true and q is false, then p→q is true.
Thank you, much appreciated. =)
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1. The Law of Detachment is an application of inductive reasoning.
false, deductive reasoning
2. Deductive reasoning is only useful in geometry.
false, also inductive reasoning can be used
3. If all marbles in a bag are red, and all red marbles weigh 3 oz., then all 3 oz. marbles are red.
false since those are not logically equivalent
p->q is logically equivalent to ~q->~p, however, the statement is given as q->p which is not true
4. If p→q is true, then ~q→~p is true.
true
by contrapositive reasoning
5. If p is true and q is false, then p→q is true.
false, deductive reasoning
2. Deductive reasoning is only useful in geometry.
false, also inductive reasoning can be used
3. If all marbles in a bag are red, and all red marbles weigh 3 oz., then all 3 oz. marbles are red.
false since those are not logically equivalent
p->q is logically equivalent to ~q->~p, however, the statement is given as q->p which is not true
4. If p→q is true, then ~q→~p is true.
true
by contrapositive reasoning
5. If p is true and q is false, then p→q is true.