Logic Symbols
Truth Tables
Converse, Inverse, Contrapositive
Fallacies
100
If P= it is raining out
and Q= I am going to the mall
Then write the notation for If it is raining out, then I will go to the mall
| p→q |
100
What are the truth values of p and q if p → q is a false statement
p: T
q: F
100
State the converse
If you give a mouse a cookie, then he will want milk to go with it
If a mouse wants milk, then he will want a cookie.
100
Name that fallacy:
All of my friends are taking Math 160, so I should take it too! It must be an amazing class.
Appeal to Popularity
200
Write in words
p = Logic is fun
q = Math is amazing
~(p^q)
Logic and math aren't fun :(
200
If P is F and Q is T, would the statement if P then Q be true or false?
What is true?
200
State the contrapositive
If you don't wear sunscreen, then you will get burned.
If you don't get burned, then you didn't wear sunscreen.
200
Name that Fallacy
“Growing up, none of my brothers or my dad would ever clean up around the house. Men are useless when it comes to doing chores.”
Hasty Generalization
300
Write using symbols
p = Logic is fun
q = Math is amazing
Logic is fun or math is not amazing, but not both
p v ~q
300
Add p ^ (p <--> q) to the last row of the truth table and give the truth values for this row
T
F
F
F
300
What is the inverse of ~m --> n
m --> ~n
300
Name that Fallacy
Dogs are called “man's best friend” because they're the friendliest animals.
Circular Reasoning
400
Write in words
p = Logic is amazing
q = Math is amazing
r = Science is cool
~r v (p^q)
Science is not cool, or both logic and math are amazing, or both
400
Complete the truth table
400
State the converse, inverse and contrapositive
m --> ~n
Converse: ~n --> m
Inverse: ~m --> n
Contrapositive: n --> ~m
400
1) Name the fallacy
A police officer pulls a car over for speeding. The driver complains, saying that they shouldn't pay a fine since there are so many dangerous criminals out there and the police should be chasing them instead.
2) Write another statement that uses the same fallacy
1) Diversion
2)...
500
Write in words
p = Logic is amzing
q = Math is amazing
r = science is cool
(p^q) <--> ~(~r)
Logic and math are both amazing if and only if science is cool
500
Complete the truth table
500
State the converse, inverse and contrapositive
If I get an A, then I get ice cream
Converse: If I get ice cream, then I got an A
Inverse: If I don't get an A, then I don't get ice cream
Contrapositive: If I don't get ice cream, then I didn't get an A
500
1) Name the fallacy
- If students are required to wear uniforms to school, they'll do less shopping at local clothing stores. With less business, the stores will close, which will hurt our local economy.
2) Write another statement that uses the same fallacy
1) Slippery Slope
2)...