Thursday, September 12, 2013

Assignment 3 - Problems 4 and 5

Complete the truth table:

A | B | not B | A => B | A not implies > B | A and not B

T | T |   F       |   T        |            F            |     F
T | F |  T        |   F        |            T            |     T


I will leave this problem for now and edit it later on. It looks, though, like (A does not imply B) and (A and not B) are the same.

5 comments:

  1. 5. I also got: ( A => B) => ~(A ^ ~B) => (~A V B)
    This is all new to me so I don't know if it's right or useful.

    ReplyDelete
    Replies
    1. For 5, I concluded ~A=>B = (A^~B)

      For 4, I have:
      A | B | ~B | A=>B | A=|>B | A^~B

      T | T | F | T | F | F
      T | F | T | F | T | T
      F | T | F | T | F | F
      F | F | T | T | F | F

      Delete
    2. Correction: for 5, I concluded A =|> B = A^~B where
      A =|> B means A not implies B

      Delete
  2. This comment has been removed by the author.

    ReplyDelete
  3. Needed to make a correction to my wording

    Maybe a word description is what is wanted.

    I suggest

    The truth/falsity of a negative conditional is equivalent to the conjunction of the antecedent with a negative consequent

    ReplyDelete