Ferrets will only do that if they are more than 100 grams.

Does the previous sentence indicate that a ferret being more than 100 grams is sufficient for them to do that?

Question

Ferrets will only do that if they are more than 100 grams.

Does the previous sentence indicate that a ferret being more than 100 grams is sufficient for them to do that?

BlackTom AI · Accepted Answer

Here is a step-by-step analysis of the statement and the true/false prompt.

First, restating the core idea: the sentence says that ferrets will do that only if they are more than 100 grams. The question asks whether this implies that being more than 100 grams is sufficient for them to do that.

Next, interpret the logical structure: the phrase 'A only if B' means 'A implies B' and, in turn, 'B is a necessary condition for A.' In our case, 'ferrets will do that' is A and 'they are more than 100 grams' is B. So the sentence says: If the ferret will do that, then it is more than 100 grams. In logical terms, A -> B and B is a necessary condition for A.

Now evaluate sufficiency: Saying B is a necessary condition for A does not claim that B alone guarantees A. In other words, even if a ferret is more than 100 grams (B), that does not necessarily mean it will do that (A). There could be other factors or conditions required, or the ferret might not perform the action despite meeting the weight threshold.

So, the statement that being more than 100 grams is sufficient would require the form 'If B then A' (B -> A). However, the given sentence expresses 'A only if B' (A -> B), which does not establish sufficiency of B for A. Therefore, the claim that the previous sentence indicates sufficiency is incorrect.

Addressing potential misinterpretations: someone might think 'only if' strengthens the condition to a guarantee, but that is a common misconception. Remember: 'only if' signals a necessary condition, not a guarantee that the condition alone ensures the outcome.

In summary, the statement is false because the sentence indicates a necessary condition (weight >100 g) for performing the action, not a sufficient one. Therefore, being over 100 grams is not claimed to be enough by itself to guarantee that they will do that.

ATHK1X01 Mastery Quiz 10

Ferrets will only do that if they are more than 100 grams. Does the previous sentence indicate that a ferret being more than 100 grams is sufficient for them to do that?

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