Question: Assume that the statement All mathematicians like rap music is true. Determine the truth value of the following from this assumption, if possible: (a) Some

Assume that the statement "All mathematicians like rap music" is true. Determine the truth value of the following from this assumption, if possible:
(a) Some mathematicians like rap music.
(b) Some mathematicians do not like rap music.
(c) There exists no mathematician who does not like rap music?

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