Law Of Syllogism

Front

Draw a conclusion from the statement.
If you live in Orlando, then you live in Florida.
You live in Orlando.

Back

You live in Florida

Front

Draw a conclusion from the statement: If a whole number is even, then its square is divisible by 4. The number I am thinking of is an even number.

Back

Then its square is divisible by 4

Front

Draw a conclusion from the statement: If you go fishing, then you will need to bring your fishing rod. You go fishing.

Back

You will need to bring your fishing rod.

Front

If you go to the swimming pool, then you will enjoy yourself. If you enjoy yourself, you will want to return.

Back

If you go to the pool, you will want to return.

Front

Which law of logic is this? If I clean the bathroom, then I don't have to do the dishes. I cleaned the bathroom. Therefore, I don't have to do the dishes.

Back

Law of Detachment

Front

If an angle is 40⁰, then it is acute.
∠A is 40⁰.
Using the Law of Detachment, what is the logical statement to conclude?

Back

∠A is acute.

Front

Draw a conclusion from the statement: If Jack goes to school, then it is Monday. Jack doesn't go to school.

Back

Invalid

Front

p→q
q→r
∴p→r
Which law is modeled?

Back

Law of Syllogism

Front

p→q
p
∴q
Which law is modeled?

Back

Law of Detachment

Front

Use Law of Syllogism to make a conclusion. If a number is divisible by 10, then it is divisible by 2. If a number is divisible by 2, then it is even.

Back

If a number is divisible by 10, then it is even.