Why is the form "flied" used in baseball instead of "flew"?
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The form "flied" is used in baseball because the verb fly in this case means to hit a fly ball.
It is probably safe to assume that this usage is a transformation of the noun fly ball (also called a fly) into a verb, and noun→verb transformations such as this are often regularized
The term is only useful in baseball in reference to a "fly-ball".