5. There ought to be some semantic connection between winner and win. Give a sample semantic value for win treating it in the usual way as a
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5. There ought to be some semantic connection between winner and win.
Give a sample semantic value for win treating it in the usual way as a
transitive verb. Suppose we then treat the —er nominalizing ending as a
separate expression, so that: 0 winner = A win er Given that |[win]] is a function from objects to functions from objects to
truth values and [winner] is a function from objects to truth values, what
kind of function should II—er]| be? Can you suggest a particular function
of that type that is suitable for |[—er]|? Now consider what happens if we combine the above idea with specifi—
cations of the event won, as in: o the winner of the race First, explain why the semantic value you gave above for —er won’t work
well in this case. Second, suggest a syntactic analysis of the winner of
the race that will allow a useful treatment of II—er]|. Third, figure out
the appropriate type and semantic value of |[—er]|.

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