I have considerable sympathy for the point of view expressed by D. Abbott in his IEEE paper, The Reasonable Ineffectiveness of Mathematics (hattip a commenter on Peter Woit's blog).
Denial of the Platonist position does not mean that Mathematics becomes an arbitrary cultural construct.
An aside:
PS: you may also like this comment on Peter Woit's blog.
"Mathematics is a product of the imagination that sometimes works on simplified models of reality."
Denial of the Platonist position does not mean that Mathematics becomes an arbitrary cultural construct.
An aside:
"A genius is merely one who has a great idea, but has the common sense to keep quiet about his other thousand insane thoughts."
PS: you may also like this comment on Peter Woit's blog.