Law of Syllogism/ Detachment

p→q
p
∴q
Which law is modeled?

• Law of Syllogism
• Law of Detachment
• Law of Contrapositive
• Law of Shannon

p→q
q→r
∴p→r
Which law is modeled?

• Law of Syllogism
• Law of Detachment
• Law of Contrapositive
• Law of Shannon

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.

• Law of Detachment

• Law of Syllogism

• Law of Contrapositive

• None

Determine whether the stated conclusion is valid.

Given: If an animal is a dog, then they like biscuits.

Sammy is a dog.

Conclusion: Sammy likes biscuits.

• Invalid

• Valid

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

• You live in Disney Land
• You are an old person.
• You live in Florida
• You live in Orlando

Tags

CCSS.L.2.1F

CCSS.L.8.1C

CCSS.L.8.3A

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.

• Then it's not odd.
• Then it's a whole number.
• Then its square is divisible by 4
• Then it's even.

Draw a conclusion from the statement.
If you are at least 25 year old, then you can rent a car.
You can rent a car

• You are at least 25 years old
• You can rent a car
• You can go on a road trip
• Invalid

Tags

CCSS.HSA.SSE.A.1

Use the Law of Detachment to draw a conclusion from the two given statements. If not possible, write not possible.

Statement 1: If I study for one hour each day, then I will score well on the exam

Statement 2: I will score well on the exam

• I study for 1 hour each day.

• I do not study for 1 hour each day

• If I do well on the exam, I studied for 1 hour each day.

• Invalid

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

• You will need to bring your fishing rod.
• Invalid
• You are a boring person.
• You are going to catch a fish.

Tags

CCSS.L.2.1F

CCSS.L.8.1C

CCSS.L.8.3A

Use the law of syllogism to draw a conclusion from the two given statements:
Statement 1: If you exercise regularly, then you have a healthy body
Statement 2: If you have a healthy body, then you have more energy

• You have more energy
• If you exercise regularly, then you have more energy
• You have a healthy body
• If you do not have a healthy body, then you do not exercise regularly