Negation of a statement

  • Thread starter chuy52506
  • Start date
  • #1
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Homework Statement


P v Q -> R


Homework Equations


Negation of the statement


The Attempt at a Solution


P v Q ^(and) ~(not)R
 

Answers and Replies

  • #2
lanedance
Homework Helper
3,304
2
let S = (P and Q )

then negating
S -> R

gives
S and (~R)

so you have
(P or Q) and (~R)
 
  • #3
34,896
6,638
let S = (P and Q )
One thing needs an adjustment.
Let S = (P or Q)
In the OP, the statement was P v Q -> R, which is (P OR Q) ==> R

then negating
S -> R

gives
S and (~R)

so you have
(P or Q) and (~R)
 
  • #4
lanedance
Homework Helper
3,304
2
Cheers, mis-editing ;)
 

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