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True or false Use your knowledge of the definitions of validity , soundness , st

ID: 3503798 • Letter: T

Question

True or false

Use your knowledge of the definitions of validity, soundness, strength, and cogency to determine which of the following statements are true.

A valid deductive argument does not have to be sound.

If a contradiction results from the assumption that an argument's premises are true and its conclusion is false, then the argument is deductively valid.

In a strong inductive argument, the conclusion is unlikely to be false when the premises are assumed to be true.

If you know just the truth values of a deductive argument's premises, then you will know whether the argument is sound.

If an argument is deductively valid, then its premises must be true in actuality.

If an inductive argument is strong, then it cannot have any false premises.

A strong argument may not have true premises and a false conclusion.

A strong inductive argument does not have to be cogent.

A prediction could be deductively valid.

If the premises of an argument make a conclusion likely to be true, then the argument is deductively valid.

If an inductive argument is cogent, then it cannot have any false premises.

A valid deductive argument may have a false conclusion.

It is proper to speak of arguments that rely on pure mathematics as being either valid or invalid, rather than being strong or weak.

The premises and conclusion of a valid deductive argument must all be true in actuality.

To evaluate an inductive argument for cogency, you should first inquire whether the argument is strong.

Explanation / Answer

1. True. An argument can be valid but still not be sound.

2. False. If a valid argument has all true premises, then it must have a true conclusion.

3. True. In a strong inductive argument, the conclusion is unlikely to be false when the premises are assumed to be true.

4. False. You should also know the truth values of a deductive argument's conclusion.

Please post the other questions separately as we are supposed to answer just one question or four subparts of the same question.

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