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16 questions
What does deductive reasoning use to form its arguments?
patterns
specific cases
observed examples
facts, definitions, accepted properties, and laws of logic
Which law of logic is illustrated by these statements?
If you miss practice the day before a game, then you will not be a starting player in the game.
You miss practice on Tuesday. You will not start the game Wednesday.
Law of Detachment
Law of Syllogism
Speed Limit
None of the above
If it is Friday, then I will get paid.
It is Friday.
What is the conclusion?
It is not Friday.
It is Friday.
I will not get paid.
I will get paid.
Use the Law of Detachment to determine what you can conclude from the given information, if possible.
If you passed the final, then you pass the class. You passed the final.
You passed the class.
You didn't pass the class
Not possible
Draw a conclusion from the statement.
Given: If you are 25 years old, then you can rent a car.
Clay can rent a car.
Conclusion: ?
Clay is 25 years old.
Clay can rent a car.
Clay can go on a road trip.
No valid conclusion.
IF Jimmy named his first child Thing 1
AND his second child Thing 2
THEN He will name his third child Thing 3
Inductive
Deductive
Use the Law of Detachment to determine what you can conclude from the given information, if possible.
If your parents let you borrow the car, then you will go to the movies with your friend. You went to the movies with your friend.
Your parents let you borrow the car.
Your parents didn't let you borrow the car.
No valid conclusion.
If a figure is a square, then it is a rectangle. If a figure is a rectangle, then it has 4 right angles.
What can you conclude?
If a figure has 4 right angles, then it is a square.
If a figure is a square, then it has 4 right angles.
No Valid Conclusion.
If a figure is a rectangle, then it is a square with 4 right angles.
What conclusion can be drawn from the following statements?
If Todd goes to the movies, then Sarah will go to the movies.
If Chris goes to the movies, then Todd will go to the movies.
If Chris goes to the movies, then Sarah will go to the movies.
If Todd goes to the movies, then Chris will go to the movies.
If Sarah goes to the movies, then Chris will go to the movies.
If Todd goes to the movies, then Todd will go to the movies.
If an angle measures 40⁰, then the angle is acute.
m∠A=40
What is the logical conclusion?
∠A is complementary to ∠B
∠A is acute.
∠A is obtuse.
∠A is 40⁰
Draw a conclusion from the statement.
If Jack goes to school, then it is Monday.
Jack doesn't go to school.
Jack skipped school.
It isn't Monday.
It's Saturday.
No valid conclusion.
What can be concluded from the following statements?
If Mike rakes leaves, then he bags them.
If Mike bags the leaves, then he mows the lawn.
If Mike mows the lawn, then he bags the leaves.
If Mike bags the leaves, then he rakes.
If Mike does not mow the lawn, then he did not rake the leaves.
If Mike bags the leaves, then he mows the lawn.
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