QuestionCan a deductive argument be not valid and sound? If yes, provide a three-proposition example.
Studdy Solution
STEP 1
Assumptions1. A deductive argument is an argument where if the premises are true, the conclusion must be true.
. A valid argument is one where if the premises are true, then the conclusion must be true.
3. A sound argument is a valid argument with true premises.
4. The question is asking whether it is possible for an argument to be deductive, but not valid and sound.
STEP 2
We need to understand what it means for an argument to be valid and sound. An argument is valid if the truth of the premises guarantees the truth of the conclusion. An argument is sound if it is valid and all of its premises are true.
STEP 3
Now, let's look at the options provided. Option A provides an argument where the premises are not true, hence it cannot be sound. However, the argument is valid because if the premises were true, the conclusion would also be true.
STEP 4
Option C provides an argument where the premises are true, but the conclusion is not guaranteed by the premises, hence it is not valid. Therefore, it cannot be sound.
STEP 5
Option B states that it is not possible for a deductive argument to be not valid and sound. This is incorrect because we have examples from options A and C that show it is possible.
STEP 6
Option D provides an argument where the premises are true and the conclusion is guaranteed by the premises. Hence, it is both valid and sound.
STEP 7
Based on the above analysis, we can conclude that it is possible for a deductive argument to be not valid and sound. The correct answer is A and C.
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