Is the following argument form valid or invalid? To find the answer, first enter the missing values in the truth table below. par Ng Nr pлq pлq→~r pV ~q q→p T T T F T T F T F F LL F LL F PAq→ ~r PV ~q ~a →p T F F T T T T FL T F T T F F F LL F T T F T Opnq→ Nr Opv ~q O~g → P F Opnq→~r Opv ~q O~g p T F T T FL F F F F LL F FF T T F ? ✓ Which column represents the conclusion? O ~r ? ✓ ? ✓ ? ? ✓ ? ✓ Which column or columns represent the premises? (Select all that apply.) ? ✓ ? ✓
Is the following argument form valid or invalid? To find the answer, first enter the missing values in the truth table below. par Ng Nr pлq pлq→~r pV ~q q→p T T T F T T F T F F LL F LL F PAq→ ~r PV ~q ~a →p T F F T T T T FL T F T T F F F LL F T T F T Opnq→ Nr Opv ~q O~g → P F Opnq→~r Opv ~q O~g p T F T T FL F F F F LL F FF T T F ? ✓ Which column represents the conclusion? O ~r ? ✓ ? ✓ ? ? ✓ ? ✓ Which column or columns represent the premises? (Select all that apply.) ? ✓ ? ✓
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Please answer all and fast answer .
Transcribed Image Text:Is the following argument form valid or invalid?
To find the answer, first enter the missing values in the truth table below.
pqr Na NP p^q
T T T
T
T T F F
T
F
LL
LL
F
LL
F
LL
PAq→ ~r
PV ~q
~g → P
T T
F
T T
F T F
TI
F T
TI
LL
T T
F
T
F
T
F
Opng → Nr
Opv ~q
O~g →P
F
T
F
F F F T T
T
T
F
F
F
F
F
F
Pлq→ PV Ng
? ♥
V
2 x
? ✓
? ✓
? ✓
? ✓
Which column represents the conclusion?
O ~r
Opng → ~r
Opv ~q
O~g → P
? ✓
? ✓
? ✓
ng-p
Which column or columns represent the premises? (Select all that apply.)
? ✓
Which of the following answers the question?
O The argument is valid because all truth table rows that have true premises have false conclusions.
The argument is valid because all truth table rows that have true premises have true conclusions.
O The argument is valid because all truth table rows that have false premises have false conclusions.
The argument is invalid because there is a row in the truth table that has true premises and a false conclusion.
The argument is invalid because there is a row in the truth table that has false premises and a true conclusion.
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