Odpoveď a závery vyplývajúce z danej odpovede:
|Gilles Deleuze    |
We hunt for any reference to the idea of infinity; we hunt for any reference to the idea of limit, we hunt for any reference to the idea of tendency toward the limit. Who does that? An interpretation and a rather strange status of calculus will be given because it stops operating with ordinary quantities, and its interpretation will be purely ordinal. Henceforth, that becomes a mode of exploring the finite, the finite as such. It’s a great mathematician, Weierstrass, who did that, but it came rather late. So, he creates an axiomatic of calculus, but at what price? He transformed it completely. Today, when we do differential calculus, there is no reference to the notions of infinity, of limit and of tendency toward the limit. There is a static interpretation. There is no longer any dynamism in differential calculus, but a static and ordinal interpretation of calculus. One must read Vuillemin’s book, La philosophie de l’algebre [Paris: PUF, 1960, 1962].