Hello Stephen! They provided the equation outlined below. My task was to convert it into english.
¬(P ^ ¬S). My shot at the solution was " I won't buy pants but I will buy shirt." The answer in the back stated " I won't buy pants without the shirt".
Given that the negation is distributed across parenthesis, P become ~p and S gets double negation ~~S. Hence my solution was " I will not buy the pants but I will buy the shirt. (or and I will buy the shirt, since but can be used in the place of and).
This is from How to prove things by...
Note:
^ represents and.
V represents or
~ represents not
T represents True
F represents False
My solution...
I started by substituting T in all variables...
[p^(qVr)]^ ~r
[T^(TVT)] ^ ~T
(T^T) ^ F
T^F
F
The answer is p = True q = True r = False
This is a problem from Gelfand's Algebra. Needed to verify my solution.
My solution to the problem above was the following.
1+2x+3x^2+4x^3+3x^4+2x^5+x^6
Thanks.
Appreciate the input Choppy. :)
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