Paradox by Doris Olin

By Doris Olin

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Sample text

In the first step of the argument, the student assumes that he already knows, when working through the argument, that no exam has been held on the first four days of the week. But this is something he couldn’t know until Thursday night. Hence, he begins with an assumption of knowledge to which he is not entitled. Here there is simply a misunderstanding of the argument. The argument begins with “If the examination is held on Friday, then on Thursday evening, . ”. The statement that the examination is held 42 PA R A D O X on Friday is an assumption only in the sense that it is taken as the antecedent of a conditional that is affirmed.

So this is not, for Priest, an acceptable reading of “refuse to accept”. Another possible interpretation of Priest is that to refuse to accept A is to not believe A and to be committed to not believing A; that is, to believe that no further evidence will be forthcoming that will (or should) get you to believe A. The difficulty here again is that I may, in this sense, refuse to accept that there is life on other planets, and yet be agnostic on this issue. For I may be agnostic on this matter while believing that we will never have adequate evidence for or against the existence of extraterrestrial life.

As in classical logic, a disjunction is true if and only if at least one disjunct is true, and false if and only if both disjuncts are false. Novelty arises only in the case in which one disjunct has both truth-values. Suppose A is false only, while B is both true and false. Since one disjunct is true, the disjunction is true; but since both disjuncts are also false, the disjunction is also false. Similarly, the truth-table for the conditional will deviate from the classical truth-table only when one component has both truth-values.

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