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Full Idea
Objects which are objective but not actual are precisely what are now called abstract objects.
Gist of Idea
Abstract objects nowadays are those which are objective but not actual
Source
Michael Dummett (Frege philosophy of mathematics [1991], Ch.15)
Book Ref
Dummett,Michael: 'Frege: philosophy of mathematics' [Duckworth 1991], p.181
A Reaction
Why can there not be subjective abstract objects? 'My favourites are x, y and z'. 'I'll decide later what my favourites are'. 'I only buy my favourites - nothing else'.