1. Translate the following English sentences into statements of predicate calculus. (20 points, 4 parts - 5 points each) All programmers enjoy discrete mathematics Some integers are not odd Every integer that is divisible by 2 is even There exists a natural number that is not a positive integer a. b. c. d. 2. Refer to the statements of predicate calculus you provided for problem 1. Write the negation of each of those statements. . (20 points, 4 parts - 5 points each) 1. Translate the following English sentences into statements of predicate calculus. (20 points, 4 parts - 5 points each) All programmers enjoy discrete mathematics Some integers are not odd Every integer that is divisible by 2 is even There exists a natural number that is not a positive integer a. b. c. d. 2. Refer to the statements of predicate calculus you provided for problem 1. Write the negation of each of those statements. . (20 points, 4 parts - 5 points each)