(see section 1.2 Hurley)
If antecedent, then consequent.
Consequent if antecedent.
If antecedent, consequent.
antecedent consequent truth value
| True | True | True |
| True | False | False |
| False | True | True |
| False | False | True |
Examples:
1. (Colonel Sanders): If this is not the best chicken you've ever had, then my name is not Colonel Sanders.
2. If relics gave spiritual comfort to 11th century Christians, then religious art of the last judgment terrified them.
3. If it rains, then the streets are wet.
4. Please get me a water if you don't mind.
5. If it's okay with you, I am going to go out with my friends tonight.
6. If Plato was not a Greek philosopher, then I'm a monkey's uncle.
7. You will get a million dollars if you buy a lottery ticket and the numbers on the ticket match the numbers chosen by the authorized administrator.
8. ( Schwarzenegger, Terminator?): If he dies, he dies.
9. You will earn no more than a B on the paper if it's not cited properly.
10. If you miss more than 6 classes, you will fail.
11. If 3 times 3 equals 4, then 4 plus 4 equals 3.
12. 3 minus 2 equals 4 if 3 minus 1 equals 2.
13. 21 times 1 equals 21 if 22 plus 2 equals 20.
What must be true given that the following is false?:
14. Obama is a secret spy for Israel if St. Francis's Basilica is in Italy.
a. Obama is a secret spy for Israel
b. St. Francis's Basilica is in Italy
15. If Mozart wrote music, then John Cage did not write music.
a. Mozart wrote music
b. John Cage did not write music
c. none of these are true
16. If the Romans built amphitheatres in France, then both the Laker athletic symbol is an anchor and JKS's neighbor burns awkward debris in his garage.
a. The Romans built amphitheatres in France
b. the Laker athletic symbol is an anchor
c. JKS's neighbor burns awkward debris in his garage
d. both b and c are true
e. none of these are true.
What must be false given that the following is true?:
17. If the Romans built amphitheatres in France, then both the Laker athletic symbol is an anchor and JKS's neighbor burns awkward debris in his garage.
a. The Romans built amphitheatres in France
b. the Laker athletic symbol is an anchor
c. JKS's neighbor burns awkward debris in his garage
d. both b and c must be false
e. none of these must be false.
What may be false given that the following is true?:
18. If the Romans built amphitheatres in France, then both the Laker athletic symbol is an anchor and JKS's neighbor burns awkward debris in his garage.
a. The Romans built amphitheatres in France
b. the Laker athletic symbol is an anchor
c. JKS's neighbor burns awkward debris in his garage
d. both b and c may be false
e. none of these may be false.