A.2 The Logic of Predicates and Quantifiers 605- No one in this class will fail if he does the assignments regularly.
- Someone waiting in line for the show will not get in.
- Some integers are even and some are odd.
- If anyone in this room is guilty, he or she should confess now.
- If anyone in this room is guilty, we are all doomed.
- The equation x^2 + 3x - 1 = 0 has no real number solutions.
- The equation x^2 + 3x + 2 = 0 has two real number solutions.
13. I can't agree with all of your ideas.14. I like some flavors of ice cream, but not all flavors.- Everyone is eligible to try, but not all will succeed.
- No one can lose weight if he or she doesn't try.
- No matter who is elected, someone will be unhappy.
- All months have at least 28 days, but none have more than 31 days.
NOTE: Exercises 19 - 28 require more than one variable. Be careful- they
can be tricky!
All men are brothers.
Some people have trouble getting along with each other.
No two people look exactly alike.
If someone loves another person, he or she wants to be with that person.
Some triangles are similar but not congruent.
Two people doing the same job should be paid at the same rate.
One number in this set is smaller than all the rest.
Every set of positive integers contains a smallest element.
There is no largest real number. [Use two variables.]
You can fool some of the people all of the time, and all of the people some
of the time, but you cannot fool all of the people all of the time. (Who
said this? Notice that the first two claims are ambiguous; each can be
interpreted in two different ways.)