2 Parts: Put in predicate calculus then write the negations. Please show how you reached your answer. Part I: Translate the following English...

2 Parts: Put in predicate calculus then write the negations. Please show how you reached your answer.

Part I: Translate the following English sentences into statements of predicate calculus.

a. All programmers enjoy discrete mathematics.

b. Some integers are not odd           

c. Every integer that is divisible by 2 is even           

d. There exists a natural number that is not a positive integer 

Part II:  Refer to the statements of predicate calculus you provided for part I. Write the negation of each of those statements.

a.

b.

c.

d.