Let the universe be all university professors. Let p(x) be the open statement "x likes poetry." Write the following statements symbolically:
(a) All university professors like poetry.
(b) Some university professors do not like poetry.
(c) Some university professors like poetry.
(d) Not all university professors like poetry.
(e) All university professors do not like poetry.
(f) No university professor likes poetry.
(g) Are any of the statements in (a) through (f) equivalent? Explain.