Question a Make up a nonmathematical function that is one to one but not onto. b Make up a mathematical function that is one to one but not onto. Answer a “The student number of” from Keio University students to integers. b \(f(x) = 2^x\)
Question Explain Why one of these statements is true and the other is false: \begin{align*} (\forall \text{ man } M)(\exists \text{ woman } W) \mid W \text{ is the mother of } M \\ (\exists \text{ woman } W)(\forall \text{ man } M) \mid W \text{ is the mother of } M \end{align*} Answer The first statement is true, and the second is false because every man has a mother but there doesn’t exist a woman who is the mother of all men....