What is the symbolic representation of a contrapositive statement?
What is the symbolic representation of an original conditional statement?
What is the symbolic representation of a inverse statement?
What is the symbolic representation of a converse statement?
What is the hypothesis of this statement:
Tennis matches are canceled if it rains.
What is the conclusion of this statement:
Tennis matches are canceled if it rains.
What is the hypothesis of this statement:
If you oversleep, then you will be late for class.
What is the conclusion of this statement:
If you oversleep, then you will be late for class.
Write in the if/then form: "All boats have a stern"
Given the conditional statement:
"If you don't go, then I won't go."
Write the inverse.
Given the conditional statement:
"If you don't go, then I won't go."
Write the contrapositive
Given the conditional statement:
"If you don't go, then I won't go."
Write the converse.
Consider the following symbolic representation.
p→q q→r ∴p→r
Which law is modeled?
Consider the following symbolic representation.
p→q p ∴q
Which law is modeled?
Given the conditional statement:
If a polygon is a square, then it has 4 sides.
Write the converse.
Given the conditional statement:
If a polygon is a square, then it has 4 sides.
Write the inverse.
Given the conditional statement:
If a polygon is a square, then it has 4 sides.
Write the contrapositive.
Choose the statement that follows from (1) and (2) an gives a valid conclusion by the law of
syllogism.
(1) If I am going to school, then I will wake up at 5:30AM.
(2) If I wake up at 5:30AM, I will make my lunch the night before.
(3) ????
Choose the statement that follows from (1) and (2) an gives a valid conclusion by the law of
detachment. (hint: change statement (1) into the if/then form first!!)
(1) All birds chirp.
(2) Charlie is a bird.
Determine whether you can analyze a conclusion from the two given statements. If you can, write the conclusion. If you cannot, write "no conclusion".
1. If you have a can opener, you can open a can.
2. You have a can opener.
3. ????
Determine whether you can analyze a conclusion from the two given statements. If you can, write the conclusion. If you cannot, write "no conclusion".
1. If the animal has eaten poisoned food, then it will die.
2. It died.
3. ???
Determine whether you can analyze a conclusion from the two given statements. If you can, write the conclusion. If you cannot, write "no conclusion".
1. If the bridge is open, then the ship can go through the canal.
2. If the ship can go through the canal, then the company can transport goods.
3. ???