1.
Identify which of the following is a proposition.
- Airplanes are the safest form of travel.
- Portland is a city in Oregon and Maine.
- Is it raining outside?
- Say what?
- I’m going on vacation on Monday.
- Everyone is addicted to technology.
Exercises 1.4 Language and Logic Rules Chapter Review
2.
Write the negation of each proposition.
- I take public transportation to get to class.
- I went to a movie on Friday.
- I don’t want to go golfing today.
- I love watching basketball.
- Breylynn’s favorite color is green
- Mirriam is a theater major.
3.
For each situation, decide whether the “or” is most likely exclusive or inclusive.
- I like watching soccer or basketball.
- You should pack shorts or capris for our vacation.
- We should take the train or bus to Portland to Eugene.
- I would like to paint the room grey or blue.
- The best reality TV show is Amazing Race or Big Brother.
4.
Express in the form of if p, then q. Identify p and q
- Doing homework helps increase your grade in class.
- Riding public transportation will help you save money.
- Squirrels, bury their food.
- You will get sick if you eat too much candy.
- Go to the doctor if you think you have the flu.
5.
Translate each statement from symbolic notation into English sentences. Let A represent “I will buy an iPhone” and Let B represent “I learn how to use new technology fast”.
- Negation of A
- Negation of B
- A or B
- A and not B
- If B, then A
6.
Complete the truth table for the following.
- Let A: I will buy an iPhone
- Let B: I learn how to use new technology fast.
| A | B | Not A | Not A and B | Not (Not A and B) |
|---|---|---|---|---|
| T | T | |||
| T | F | |||
| F | T | |||
| F | F |
7.
Complete the truth table for the following.
- Let A: I will buy an iPhone
- Let B: I learn how to use new technology fast.
| A | B | If A, then B |
|---|---|---|
| T | T | |
| T | F | |
| F | T | |
| F | F |
Exercise Group.
For each argument, draw the appropriate illustration of sets (Subset, Disjoint or Overlapping).Then put an X to represent the subject of the conclusion. Alternatively, use two question marks to illustrate the subject could fit into two locations. Finally, state whether the conclusion is valid and whether it is sound.
8.
All baseball parks have hotdogs.
Wrigley Field is a baseball park.
Conclusion: Wrigley Field has hotdogs.
9.
All dogs to run in the park.
Henry does not like to run in the park.
Conclusion: Henry is not a dog.
10.
Some students play sports.
Javeer plays soccer.
Conclusion: Javeer is a student.
Exercise Group.
Name the common Fallacy. Identify the Premise(s) and Conclusion.
11.
Most people find out what’s happening on Twitter or Facebook, so it is the most reliable source for news.
12.
“Finding the Loch Ness Monster” has yet to provide evidence that Loch Ness exists, so all those sightings are obviously bogus.
13.
Sampson bought a new car, and then he got a traffic ticket for speeding. Buying the new car must have caused him to speed.
