Alice decides to invest in a mutual fund recommended by her best friend Nancy, which has shown solid gains for the past three quarters. Alice's investment in the fund is then a _______________ condition for her to make a gain in the next quarter.
(...) in a mutual fund recommended by Nancy (call it F), which has shown gains in the last 9 months.
the punch comes now: "Alice investment in the fund (F, that is) is a necessary condition for her to make a gain in the next quarter."
Couple of students claim that there is ambiguity here. First let's apply the def. of necessity between f and G
f n→ G iff "G cannot exist without f," or if "there's no f, there is no G"
She can invest in other funds for sure (I was referring to Nancy's particular fund). It doesn't matter which fund it is! If Alice wants to make a gain in ANY funds she has to invest in them (which is precisely what a necessary condition stipulates).
F→ GM
n
(investment in this fund, or ANY, it's a necessary condition for it (this one, ANY) to make a gain in the market)
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