A logical exercise
Logic
Level
2
True or False?
There exists a female human not yet beyond child-bearing age such that if she does not have children, the human race will die out.
True
Insufficient information provided to determine
False
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1 solution
Let the set of female humans not yet beyond child-bearing age be called W We distinguish 2 cases.
Case 1: No one in W bears a child. In this case, the human race will die out, and we can pick any member of W to satisfy the given condition.
Case 2: Some members of W bear children. Let the subset of W who bear children be called C. Pick any member of C. Since it is false that the member you chose did not bear children, and a false proposition implies any proposition, it is true that IF the member you chose did not bear children (false), the human race would die out.