Bad parenting has not caused the rise violent crime both

Jonathan Acre
Dr. Montgomery
Logic
6 September, 2017
Homework #3
PART A: Counterexamples

1) Lewis is a famous author only if he knows how to write. But Lewis is not a famous author. Hence, Lewis does not know how to write.

If not A, then not B.

Counterexample: If Jason is from Kentucky, then he is from the USA. If Jason is not from Kentucky, then he is not from the USA.

If A, then B.
B.

So, A.

11) If you want to ruin your life, you should take hard drugs. But you don’t want to ruin your life. So, you should not take hard drugs.

If A, then B.
Not A.
Not B.

14) If my society approves of genetic engineering, then genetic engineering is right. But my society does not approve of genetic engineering. Hence, genetic engineering is not right.

If A, then B.
Not A.
Not B.

Counterexample: Either you live long enough to see yourself become the villain or you die a hero (or both). You will live long enough to see yourself become a villain. Therefore, you will not die a hero.

17) Assuming that you treat like cases alike, you are fair. Hence, you are fair only if you treat like cases alike.

2) All dogmatists are hypocrites. All dogmatists are bigots. So, all bigots are hypocrites.

All A are B.

All A are B.

Some A are not C.

Some C are not A.

Thus, some C are not B.

So, no B are C.

Counterexample: All dogs are animals. No dogs are cats. So, no animals are cats.

Counterexample: No apples are cucumbers. No cucumbers are fruits. So, no fruits are apples.

9) All Fabians are socialists. Some socialists are not communists. So, some Fabians are not communists.

11) All observable entities are physical entities. Some quarks are not observable entities. Therefore, some quarks are not physical entities.

All A are B.

No A are B.

Some C are not B.

Some C are B.

So, some C are A.

So, some C are A.

Counterexample: All dogs are animals. Some animals are cats. So, some cats are dogs.