(PC) S is justified in believing that p only if S is rational to prefer as if p.Now, suppose for the sake of argument that (PC) is true. Suppose further that p is a true proposition whose truth S cannot handle.
In that case, if p is a true proposition whose truth S cannot handle, then it is not the case that S is rational to prefer as if p. But if S is not rational to prefer as if p, then, by (PC), it follows that S is not justified in believing that p. That is:
- S is justified in believing that p only if S is rational to prefer as if p.
- S is not rational to prefer as if p. [Since p is a true proposition whose truth S cannot handle]
- Therefore, S is not justified in believing that p.
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