QUESTION IMAGE
Question
consider the following argument:
- all trees are mammals.
- all mammals lay eggs.
- therefore, all trees lay eggs.
which of the following terms appropriately describe this argument?
terms that appropriately describe
valid\tsound
weak\tcogent
terms that do not appropriately describe
Brief Explanations
- Valid: A deductive argument is valid if its conclusion logically follows from its premises. Here, if we accept the two premises as true, the conclusion must be true (All trees are mammals → all mammals lay eggs → all trees lay eggs), so it is valid.
- Sound: A sound argument is valid AND has all true premises. Both premises here are factually false (trees are not mammals, most mammals do not lay eggs), so it is not sound.
- Weak: Weak describes inductive arguments where the conclusion does not follow from premises. This is a deductive argument, so it is not weak.
- Cogent: Cogent applies to strong inductive arguments with true premises. This is not an inductive argument, so it is not cogent.
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Terms That Appropriately Describe
valid
Terms That Do Not Appropriately Describe
sound, weak, cogent