Hartry Field seems to be a fan of:
Nominalism:
"a metaphysical view in philosophy according to which general or
abstract terms and predicates exist, while universals or
abstract objects, which are sometimes thought to correspond to
these terms, do not exist"[1]
which I gathered from a book Hartry Field became well known for:
"Science Without Numbers: The Defence of Nominalism", Hartry H.
Field, 1980 [2]
which appears to be "Fictionalism within the Philosophy of
Mathematics" [3]
and led me to this very interesting statement, which is not
Field's:
"Given that there are no compelling arguments against platonism,
the next question one might naturally ask is whether there are
any good arguments against fictionalism (and hence, if platonism
is really the only plausible alternative to fictionalism, in
favor of platonism)." [3]
Out of any context beyond the limited ones I raised, those
sentences raised an eyebrow or three for me. [1]Seedy Johnson is
this the direction you might have been heading into?
[1] [2]
https://en.wikipedia.org/wiki/Nominalism
[2] [3]
http://www.amazon.com/Science-Without.../dp/0691072604
[3]
[4]
http://plato.stanford.edu/entries/fictionalism-mathematics/
References
Visible links
1.
https://www.facebook.com/seedyjohnson?hc_location=ufi
2.
https://l.facebook.com/l.php?u=https%3A%2F%2Fen.wikipedia.org%2Fwiki%2FNominalism&h=6AQFBEzTH
3.
https://l.facebook.com/l.php?u=http%3A%2F%2Fwww.amazon.com%2FScience-Without-Numbers-Defence-Nominalism%2Fdp%2F0691072604&h=kAQGz3U-c
4.
https://l.facebook.com/l.php?u=http%3A%2F%2Fplato.stanford.edu%2Fentries%2Ffictionalism-mathematics%2F&h=PAQFlpAGS
