Originally Posted by onyx99 View Post
3. Your always-honest friend rolls two dice under a cup and peeks. You ask, "Did you get at least 11?" He says, "yes". Only 11 and 12 are now possible.
No, one of either the 11 or the 12 is no longer possible.

The "peeker" saw either the 11 or the 12. To be honest, if the "peeker" saw the 11, then he can not say or the 12. To be honest, if the "peeker" saw the 12, then he can not say or the 11.

He may say that what he saw is an element of the set defined by at least the 11. But, he may not honestly say that the specific roll or element of the set defined by at least the the 11 which he saw is that set. Can't roll or get a set of rolls on one roll. Unless the definition of the set is specially worded to work for both the general and the specific.