SOLUTION: P∙ Q R⊃ ~Q / ~R∨ ~P

Algebra.Com
Question 1104306: P∙ Q
R⊃ ~Q
/ ~R∨ ~P

Answer by jim_thompson5910(35256)   (Show Source): You can put this solution on YOUR website!

I'm using the ampersand in place of the dot
Also, I'm using the arrow notation instead of a horsehoe

NumberStatementLines UsedReason
1P & Q
2R -> ~Q
:.~R v ~P
3Q & P1Commutation
4Q3Simplification
5~~Q4Double Negation
6~R2,5Modus Tollens
7~R v ~P6Addition


RELATED QUESTIONS

∼A∙~B ~D⊃A M⊃[(NvO)⊃P] Q⊃(SvT)... (answered by jim_thompson5910)
Solve use reductio ad absurdum 1. ~P→(R∙S) 2.... (answered by math_helper)
∼S⊃(N⊃T) ~S∙(R⊃S) (~M∙~N)⊃(~Ov~P)... (answered by solver91311)
1. ~M 2. (~M∙~N)>(Q>P) 3. ~N 4. P>R (answered by jim_thompson5910)
Could you please help me? Im sick with a bug and cant think straight :/ A) 1. A ⊃ (answered by solver91311)
1. (Q∨R)→(W∨U) 2. W→P 3. (answered by jim_thompson5910)
P ∙ (Q ⊃ R) ; (P ∙ Q) ⊃ (P ∙ R) are logically equivalent... (answered by jim_thompson5910)
P->~(Q&R),Q->R:... (answered by lynnlo)
q+r/q+p (answered by Alan3354)