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
people.


 (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
school.
 The is a student at your school who can speak Russian and who
knows C++.
 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
20080201
Tom Kelliher