If Jack continually refuses to give John the Spanish translation without any good explanation, John can reasonably conclude that Jack does not in fact know Spanish or does not know it well. In other words, his ignorance is the likeliest explanation for his silence. Here is an example of an illegitimate argument from silence:
If Jack continues to refuse to give John the password, John cannot reasonably conclude that he does not in fact know it. In other words, his ignorance is not the likeliest explanation for his silence.
The argument from silence has also famously been used by skeptics against the virgin birth of Christ. St Paul, for example, does not mention the virgin birth, and skeptics therefore argue from his silence that he did not know of it. If this argument is used as an attempted proof of Paul's ignorance, it is a logical fallacy, because ignorance is only one possible reason for Paul's silence: it's also possible that he did not think the virgin birth was important or relevant to his reasoning, or that he referred to it in texts that have now been lost or mutilated. However, the argument from silence is not fallacious if it is used to prove that Paul may have been ignorant. From the fact that Paul refers to the resurrection, it is certain that he knew of it; from the fact that Paul does not refer to the virgin birth, it is not certain that he knew of it, therefore he may have been ignorant of it.
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