David Corfield on "Aesthetic Theory and Artistic Practice" —
"… British naturalism of the nineteenth century is seen to be
based on a theory of art whose origin lies in eighteenth century
philosophy. Collingwood believes this to be a false theory,
as first made clear artistically by Cezanne. Note also that
Collingwood should feel the need to depart from abstract
argument to include the case study.
Exercise: with minimal changes make the above true for
the philosophy of mathematics. Once done, we see how
we should expect to find a philosophy of mathematics
in each mathematician, even if it only functions implicitly.
See Philosophy as Normative or Descriptive.
Last revised on July 12, 2010 at 11:02:44."
See as well some philosophical remarks by the late
William J. Richardson, S.J., quoted here on July 12, 2010.