Homework: Deductive Reasoning

p→q
q→r
∴p→r
Which law is modeled?

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

p→q
p
∴q
Which law is modeled?

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

How would you describe the Law of Detachment symbolically?

• if p -> q is true and q is true; then p is true

• if p -> q is true and p is true; then q is true

• if p -> q and q -> r, then p -> r

How would you describe the Law of Syllogism symbolically?

• if p -> q is true and q is true, then p is true.

• if p -> q is true and p is true, then q is true.

• if p -> q is true and q -> r is true, then p -> r is true

What does deductive reasoning use to form its arguments?

• patterns

• specific cases

• observed examples

• facts, definitions, accepted properties, and laws of logic

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

By the Law of Detachment, what can you conclude from the statement? 
If two planes intersect, then their intersection is a line.
Planes S and T intersect.

• their intersection is a line
• their intersection is a point
• no conclusion can be made
• the planes are parallel

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 will go to the movies with your friend.

• Your parents let you borrow the car.

• Your parents didn't let you borrow the car.

• Not possible

Tags

CCSS.HSS.CP.A.5

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

Which law of logic is illustrated by the following statements?

If <1 and <2 are vertical angles, then <1 is congruent to <2. If <1 is congruent to <2, then m<1 = m<2.

If <1 and <2 are vertical angles, then m<1 = m<2.

• Law of Detachment

• Law of Syllogism

• 5th Amendment

• Not possible

Tags

CCSS.HSG.CO.C.9