Why did Diodorus Cronus reject the claim that some possibilities will never be realized?

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Diodorus Cronus rejected the claim that some possibilities will never be realized because of his development of the Master Argument. This argument posited that the following three propositions are jointly inconsistent:

  • Everything true about the past is now necessary.
  • The impossible does not follow from the possible.
  • There is something that is possible, and yet neither is nor will be true.

Because Diodorus was unwilling to reject the first two propositions, he was compelled to reject the third. Consequently, he maintained that whatever is possible must either be true or will be true in the future. In his view, there are no possibilities that remain unrealized throughout time.1