To demonstrate competency in logical thought, a student should be able to determine the truth values of statements. Use the knowledge you've gained to answer the two problems below. In symbolic logic, a statement is either true or false (consider true to have a value of 1 and false a value of 0). In fuzzy logic, nothing is true or false, but everything is a matter of degree. For example, consider the statement "The sun is shining." In fuzzy logic, this statement may have a value between 0 and 1 and may be constantly changing. For example, if the sun is partially blocked by clouds, the value of this statement maybe 0.25. In fuzzy logic, the values of connective statements are found as follows for statements p and q:

Not p has a truth-value of 1p.

pq has a truth value equal to the minimum of p and q.

pq has a truth value equal to the maximum of p and q.

pq has a truth value equal to the min of 1 and 1p+q.

pq has a truth value equal to 1pq

Suppose the statement"p: The sun isshining" has a truth value of0.63 and the statement"q:

Mary is getting atan" has a truth value of0.72.

Find the truth value of

a) not p=

b) not q=

c) pq =

d) pq=

e) pq =

f) pq =