What does it mean?
An example that opposes or contradicts a statement
What is a counterexample?
A "p" represents this part of a conditional statement
What is the hypothesis?
State the hypothesis of the following:
"If today is Friday, then tomorrow is Saturday."
What is "if today is friday"?
Finish the logic statements using the law of syllogism:
1) If it rains, then the game will be cancelled.
2) If the game is canceled, then I will go to the mall.
3) ?
What is "If it rains, then I will go to the mall"?
An if-then statement
What is a conditional statement?
A "q" represents this part of a conditional statement
What is the conclusion?
State the conclusion of the following sentence:
"If pigs can fly, two plus five is seven."
What is "two plus five is seven"?
Finish the logic statements using the law of detachment:
1) If it rains, then the game will be cancelled.
2) It rains.
3) ?
What is "The game is cancelled"?
An if-and-only if statement
What is a biconditional statement?
q -> p
Make a conditional statement from the following statement:
"All whole numbers are integers."
Finish the following logic statement using the law of contraposition:
1) If we go trick or treating, then we will get candy.
2) We will not get candy.
3)?
What is "We did not go trick or treating"?
A statement that results from switching the hypothesis and the conclusion
What is the converse?
~p -> ~q
What is the inverse?
State the converse:
"If Melissa comes to class, then she passed the class."
What is "If Melissa passed the class, then she comes to class"?
Finish the following logic statement using the law of syllogism:
1) If you are in Miss G's class, then she is your favorite teacher.
2) If Miss G is you favorite teacher, you will get candy.
3) ?
What is "If you are in Miss G's class, then you will get candy."
A statement that results from switching and negating the hypothesis and conclusion
What is a contrapositive statement?
p <- -> q
What is a bi-conditional statement?
The contrapositive statement: "If Carl does not go to geometry, then he will fail the class"
What is the conditional statement?
What is "If Carl passes the class, then he goes to geometry"?
Finish the logic statement using the law of detachment:
1) If you do your homework, you will get a 100.
2) You do your homework.
3) ?
What is "You get a 100"?