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Full Idea
The finitist may have no conception of function, because functions are transfinite objects.
Gist of Idea
If functions are transfinite objects, finitists can have no conception of them
Source
Charles Parsons (Review of Tait 'Provenance of Pure Reason' [2009], §4)
Book Ref
-: 'Philosophia Mathematica' [-], p.237
A Reaction
He is offering a view of Tait's. Above my pay scale, but it sounds like a powerful objection to the finitist view. Maybe there is a finitist account of functions that could be given?