Show the argument below is invalid p −→ ¬q (¬q ∧ r) −→ ¬s ¬p   ∧   ¬r  s ∨ p ∧ m ∴ s −→ m

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Hi 

I have a discrete 1 question (eng mathematics)

I hope u can solve the question easily (its better If u can understand the hint and solve the question like the photo) 

And if u can write the answer clearly or using a computer 

 

Show the argument below is invalid

p −→ ¬q

(¬q ∧ r) −→ ¬s

¬p   ∧   ¬r

 s ∨ p ∧ m

∴ s −→ m

-
.: It's valid
Q3) Show the following argument is valid or not valid
p → ¬q
SL f d V bL
F T
T
s V pAm
(TA F) → F =F F =
T
:S m
TA T
T
T v (FAF) = T v F =
: T F
= F
For p = F, q = F,r =F, s = T, m = F all premises are true but the
conclusion is false.
:: It's invalid
Transcribed Image Text:- .: It's valid Q3) Show the following argument is valid or not valid p → ¬q SL f d V bL F T T s V pAm (TA F) → F =F F = T :S m TA T T T v (FAF) = T v F = : T F = F For p = F, q = F,r =F, s = T, m = F all premises are true but the conclusion is false. :: It's invalid
O Show the argument below is invalid
p-> -q
(-g A r) --→ -s
-p A ¬rs
Vp Am
:s -→ m
Transcribed Image Text:O Show the argument below is invalid p-> -q (-g A r) --→ -s -p A ¬rs Vp Am :s -→ m
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