  Let object realism be the view that there exist abstract mathematical objects. Object realism is thus just the conjunction of Existence and Abstractness.[4]  Object realism stands opposed to nominalism, which in contemporary philosophy is typically defined as the view that there are no abstract objects. (In more traditional philosophical usage the word ‘nominalism’ refers instead to the view that there are no universals. See Burgess &amp; Rosen 1997, pp. 13–25 and the entry on abstract objects.) 