Phoenix Paper

First Message - Week 2 - Question 1

   Suppose a job posting states, “Applicants must have one to two years teaching experience in K-12 and a teaching certification or have a graduate degree.”  

Could you interpret this job description in different ways? Why or why not? Use propositional logic, set theory or Venn diagrams as support. 

First Message - Week 2 - Question 2

Find the NEGATION of each of the following statements:

a)    John is tall and likes to bike.

b)    Mike will laugh or cry tomorrow.

c)    Mary drives or carpools to work.

d)    Allison is intelligent and witty.

What happens to the “and” or the “or” with the negation? Why?

A) - John is NOT tall or he does NOT like to bike.

B) - Mike will NOT laugh and will NOT cry tomorrow.

C) - Mary does NOT drive and does NOT carpool to work.

D) - Allison is NOT intelligent or witty.

"And" is replaced with "or" and "or" is replaced with "and".

In this question they want the person to find the negation of each of the following four statement. In addition, the question also suggest the issue of what happens to the “and” or the “or” with the negation. Thus, to be able to find the negation of the following four statement the person must find the “and” in the statement. For example, “John is tall AND likes to bike”, by identifying “and” the person would simply have to make half statement negative to make the statement a negation.

Now, by applying this formula for finding negation in a statement the person would now apply the word “not” in the following statement by replacing “and”. Nevertheless, the following statement would become a false statement thus, derailing the following statement into a negation.

Look at it from a math formula problem:

True or False both equations below are correct:

1+1=2 and 2+2=4 (since they are both correct that would be a truth).

If you change one of the equations as below:

1+1=3 and 2+2=4 and the question is still asking True or False...