David Deutsch's claim about "mathematicians' misconception"

[Mikhail Katz]

  Lew Gordeew wrote:

> Well, consider Aristotle's syllogism BARBARA:
>
> All objects fall down.
> Apple is an object.
> Therefore, Apple falls down.
>
> Similar inferences are used in natural sciences while seeking for
> general laws in the material world. As well as in logic and
> mathematics (re: formulas) ever since ancient times, thus prior to
> Newton. Also note that many abstract mathematical objects are more
> sophisticated than "real" objects currently investigated in physics or
> elsewhere in natural sciences.

Arguably, Newton wasn't specializing via the Barbara syllogism, but on the 
contrary generalizing by means of induction (in its generic sense) FROM 
apples TO objects.

M. Katz