T2.2: 3 of 7

Negations

Our first two connectives, '&' and '>', connect a pair of sentences together forming a new sentence. But our definition of a connective doesn't require a pair of sentences; it only requires that a connective connect itself to at least one sentence. Our next connective connects to a single sentence. Let's look at "not".

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

2. If it's not the case that Agnes will be miserable in her first year of law school, then she is very well prepared.

(Let 'P' stand for "Agnes is very well prepared".) Click on the best symbolization of 2:

a. ~(M&P)       b. ~M>P       c. ~(M>P)

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

first symbolizations

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

Use the following interpretation to symbolize 1 - 5 in the space provided.

A: Agnes will attend law school.
B: Bob will attend law school.
L: They will get a loan.

  1. Either Agnes or Bob will attend law school. (hint)
  2. If Agnes will attend law school, then so will Bob.
  3. It's not the case that Bob will attend law school.
  4. If it's not the case that they will get a loan, then Bob will not attend law school.
  5. Agnes will attend law school and Bob will not. (hint)