There exist propositions (e.g., whether the number of people currently alive is even or odd) for which there is no evidence whatsoever for or against them.

This definition still has the equivalent of clause (ii) above, and therefore requires the belief that is certain for the subject be the one that is most highly justified for her. But the second definition appears to be more successful in requiring that p be justified to a significant degree. Now, believing that p must not only be more justified for the subject than withholding p, it must also be more justified than withholding with respect to any other proposition. There are many propositions th