# Thread: Symbolic Form of an Argument?

1. ## Symbolic Form of an Argument?

Hello All,

Question:
If Sarah studies hard then she gets A’s or she gets rich.
She doesn’t get A’s and she doesn’t get rich.
Therefore she doesn’t study hard.

Let :
P = Sarah studies hard
Q = She gets A's
R = She gets rich

Then the argument is

$\displaystyle P \Rightarrow Q \vee R$
$\displaystyle \sim Q \wedge \sim R$
$\displaystyle :. \sim p$

Not sure if symbolic form I have written is correct for the above argument.

Help!

2. Originally Posted by mrsenim
Hello All,

Question:
If Sarah studies hard then she gets A’s or she gets rich.
She doesn’t get A’s and she doesn’t get rich.
Therefore she doesn’t study hard.

Let :
P = Sarah studies hard
Q = She gets A's
R = She gets rich

Then the argument is

$\displaystyle P \Rightarrow Q \vee R$
$\displaystyle \sim Q \wedge \sim R$
$\displaystyle :. \sim p$

Not sure if symbolic form I have written is correct for the above argument.

Help!
The transcription looks fine to me.
But, surely that's not all there is to the problem.
What about the question of validity?

Edit: Never mind.

3. This is a valid argument I have checked its validity through truth table.