"This paper is a meant to be a polemic which argues for a very fundamental
point: that stochastic models and statistical reasoning are more relevant i) to
the world, ii) to science and many parts of mathematics and iii) particularly
to understanding the computations in our own minds, than exact models and
logical reasoning"
Are opaque probabilistic models scientific?
David Mumford's stance:
"This paper is a meant to be a polemic which argues for a very fundamental point: that stochastic models and statistical reasoning are more relevant i) to the world, ii) to science and many parts of mathematics and iii) particularly to understanding the computations in our own minds, than exact models and logical reasoning"
https://www.dam.brown.edu/people/mumford/beyond/papers/2000b...