Predicates and Quantifiers
Tom Kelliher, MA 190
Feb. 4, 2008
- (5 a, d)
Let be the statement `` spends more than five hours every weekday
in class,'' where the domain for consists of all students. Express
each of the quantifications in English.
- (7 a, d)
Translate these statements into English, where is `` is a
comedian'' and is `` is funny'' and the domain consists of all
- (9 a, d)
Let be the statement `` can speak Russian'' and be the
statement `` knows the computer language C++.'' Express each of these
sentences in terms of , , quantifiers, and logical
connectives. The domain for quantifiers consists of all students at your
- The is a student at your school who can speak Russian and who
- No student at your school can speak Russian or knows C++.
- (28 b, c)
Translate each of these statements into logical expressions using
predicates, quantifiers, and logical connectives.
- All tools are in the correct place and are in excellent condition.
- Everything is in the correct place and in excellent condition.
- (33 a, b)
Express each of these statements using quantifiers. Then form the negation
of the statement so that no negation is to the left of a quantifier. Next,
express the negation in simple English. (Do not simply use the words ``It
is not the case that.'')
- Some old dogs can learn new tricks.
- No rabbit knows calculus.
Thomas P. Kelliher