Mr. Andre’s Notes
Vocabulary:
· pàq “p implies q”
· pßàq “p if and only if q”
· (pàq) ^ (qàp) “p implies q, and q implies q”
- ^=and
- v= or (inclusive)
- A’= not A, or the compliment of A
Implication//conditional statement:
p | q | pàq |
True | True | True |
True | False | False |
False | True | True |
False | False | True |
“I promise if I find $20, I will give you $10.
Equivalence//conditional statement:
p | q | Pßàq |
True | True | True |
True | False | False |
False | True | False |
False | False | True |
“I promise if and only if I find $20, I will give you $10.
Which door would he tell me to go through?
Two doors: one to certain death, one to certain freedom
Two guards: one always lies, one always tells the truth
Two men are exploring
They see a wild animal
One rushes back, one goes back slowlyàboth to home base
The rusher dies
What happened?
They were scuba diving, and the one that rushed back died of the bends
Man gets back to a hotel, suddenly realizes he’s bankrupt.
What happened?
He’s playing Monopoly.
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