D. Harding, MAKING MONEY FROM MATHEMATICAL-MODELS, Philosophical transactions-Royal Society of London. Physical sciences and engineering, 347(1684), 1994, pp. 511-515
This paper is a discussion of the scientific significance and nature o
f mathematical models generally, and in finance theory in particular;
of the relation of such models to a postulated 'reality'; of the suffi
ciency of the empirical grounding of such models to the task of drawin
g useful inferences about such a reality; and of the danger of unwitti
ngly propagating erroneous conclusions about this reality in the absen
ce of such a grounding. Some suggestion as to how the current empirica
l grounding of mathematical modelling in finance can be enriched.