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Which of these is true? Any argument is valid if it has a valid conclusion. Any

ID: 3013530 • Letter: W

Question

Which of these is true?

Any argument is valid if it has a valid conclusion.

Any argument with a tautological conclusion must be valid.

Any argument with a tautological conclusion must be sound.

A sentence must be contingent if it is not contradictory.

Label the sentence:

If the CEO divests and the CFO resigns then the CEO won't divest.

Contradictory

Contingent

Versimilitudinous.

Tautological

Label the following pair of sentences:

Acme didn't file and Widgetco didn't file.

It's not true that both Acme and Widgetco filed.

Equivalent

Not equivalent

Contradictory

Versimilitudinous

What can be correctly said of the following argument?  [Leave the parenthetical part out of your symbolization.]

You correct the errors on your credit report in a timely fashion only if you don't pay a higher rate on loans than you should.  [Even though credit reporting agencies are legally obligated to correct your report when notified of documented errors,] it is impossible to correct errors on a credit report in a timely fashion.  So you might be paying a higher rate than you should.

The argument is valid.

The argument Invalid.

The validity of the argument depends on background knowledge.

The argument is correlatively over-stipulated.

a.

Any argument is valid if it has a valid conclusion.

b.

Any argument with a tautological conclusion must be valid.

c.

Any argument with a tautological conclusion must be sound.

d.

A sentence must be contingent if it is not contradictory.

Explanation / Answer

A -> You correct the errors on your credit report in a timely fashion

B -> you pay a higher rate on loans than you should

A implies not B

and not A is true

this implies B might be true

this argument is valid since B can be true or cannot be

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