Laws of Logic

If I comb my hair, then I won't have tangles.

I have tangles.

What is the logical conclusion, if there is one?

• Therefore, I did not comb my hair.

• No Valid Conclusion

• Therefore, I combed my hair.

• Therefore, I have gum in my hair.

If my team wins the game, then they will be the champions.

My team is the champion.

What is the logical conclusion, if there is one?

• Therefore, my team wins the game.

• Therefore, my team does not win the game.

• No Valid Conclusion

• Therefore, my team eats pizza.

If I see a black bear, then I will scream.

If I scream, then the bear will run away.

What is the logical conclusion, if one exists?

• Therefore, if the bear runs away, then I will scream.

• No Valid Conclusion

• Therefore, if I see a black bear, then the bear will run away.

• Theerefore, I need to move to a new neighborhood where there are no bears.

If I go camping, then I need to pack my tent.

I went camping.

What is the logical conclusion, if one exists?

• Therefore, I needed to pack my tent.

• Therefore, I did not need to pack my tent.

• Camping is fun!

• No Valid Conclusion

If you need help, then you stay after class.

If you don't stay after class, then you don't ask questions.

What is the logical conclusion, if one exists?

• Therefore, if you stay after class, then you need help.

• Therefore, if you ask questions, then you need help.

• Therefore, if you need help, then you ask questions.

• There is no logical conclusion.

If you go to the mall, then you will spend money.

You didn't spend any money today.

What is the logical conclusion?

• Therefore, you didn't go to the mall.

• Therefore, you don't have any money.

• Therefore, you went to the mall.

• There is no logical conclusion.

Tags

CCSS.HSS.CP.A.3

CCSS.HSS.CP.B.6

If you don't feel well, then you stay home.

You feel well.

What is the logical conclusion?

• Therefore, you stay home.

• Therefore, you don't stay home.

• Therefore, you don't feel well.

• There is no logical conclusion.

If I go on vacation, then I won't do my work.

I went on vacation.

What is the logical conclusion?

• Therefore, I did my work.

• Therefore, I didn't do my work.

• Therefore, I didn't go on vacation.

• There is no logical conclusion.