Ray PERCIVAL

Donald E. OLSEN FAIA

WHO'S WHO

**Christopher Peter ORMELL,** Senior Fellow, EDU,
University of East Anglia, Norwich,
England NR4 7TZ. Education: Maths and Philosophy degrees
at Oxford. Interest in
Popper: epistemology, theory of self-reference, philosophy
of science. Publications:
About 90 articles in Journals and books. My most recent
paper is in the *Cambridge
Journal of Education*, 18, 2, 1988, "Is there a future for
Liberal Education?".
Activities: Editor-in-Chief Mathematics Applicable Group
(Mag), Educationalist.
During the period 1982-85 I wrote four monographs on
understanding during the
period 1982-85. The four monographs form a sustained
argument which begins with
a re-examination of the applicability of mathematics. By
pinning down the 'use' of
mathematics it is possible to formulate a new and more
powerful version of the
empiricist view of meaning (Vol.2). This is then applied
in Vol.3 to derive a wholly
'naturalistic' view of meaning in pure mathematics. It is
argued that Cantor's
'Diagonal Argument' has been seriously misunderstood by
successive commentators.
It cannot tell us that there are *more* real numbers
than rationals because any realnumber with accredited
existence has a generating rule and this can be *embedded* in
the 'greater lexicographic ordering' - a lexicographic
ordering of all the symbols ever
used by the human race. The reals are, indeed,
'uncountable' but not for reasons of
numerousness. Vol. 4 is an ambitious attempt to drive a
Popperian-Lakatosian view
of science to the limit. It studies the fitness of
mathematics to give us the best
possible models of physical reality and finds it wanting.
This leads to the
specifications of a new quasi-mathematical science beyond
mathematics which does
meet the requirement for models in science. The result is
therefore to open up a new
kind of scientific (i.e. falsifiable) theorising. These
monographs were published by the
MAG, EUD, UEA Norwich NR4 7TJ, U.K..

Fri Oct 13 08:28:42 BST 1995