From [ Marc Abrams (980813.1402) ]

In reading the _Tour of the Calculus_ by David Berlinski I came across

an interesting passage that, I think, has relevance both to PCT and

my post to Mary yesterday. I hope I am not breaking any copyright

laws:-).

Pg xii. Introduction

"It is sometimes said and said by mathematicians that the usefulness

of the calculus ( PCT ) resides in it's applications. This is an

incoherent, if innocent, view of things. However much the

mathematician may figure in myth, absently applying stray symbols to

an alien physical world, mathematical (PCT ) theories apply _only_ to

mathematical (PCT) facts, and mathematics (PCT), can no more be

applied to facts that are _not_ mathematical (PCT) than shapes may be

applied to liquids. If the calculus (PCT) comes to vibrant life in

celestial mechanics ( human behavior ) as it surely does, then this is

evidence that the stars in the sheltering sky (human behavior) have a

secret mathematical identity, an aspect of themselves that like some

tremulous night flower they reveal only when the mathematician

( PCTer ) whispers. It is in the world of things and places, times and

troubles and dense turbid processes, that mathematics (PCT) is not so

much applied as _illustrated_." David Berlinski

Marc