Forget 'will' as a verb. It's purely a noun here. the will to live the desire to prosper the strength to survive They are all the same structure.
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Mister MicawberThese suggest that a complement is a kind of adjunct.Yes, those definitions are vague, but I think the OP is dealing with a transformational grammar approach in which the two terms are defined so as to be mutually exclusive. It takes a lot of theoretical machinery to develop the concepts, and I have never had the patience to follow it through
Mister MicawberCould bepleased actually be Radford?!Not yet. Time will tell.