While reading Bachelard (one of the greatest philosophers of science of all time), I fell upon this fascinating passage: From now on an axiomatic accompanies the scientific process. We have written the accompaniment after the melody, yet the mathematician plays with both hands. And it’s a completely new way of playing; it requires multiple plans of consciousness, a subconscious affected yet acting. It is far too simple to constantly repeat that the mathematician doesn’t know what he manipulates; actually, he pretends not to know; he must manipulate the objects as if he didn’t know them; he represses his intuition; he sublimates his experience.
Formalization as suspension of intuition
Formalization as suspension of intuition
Formalization as suspension of intuition
While reading Bachelard (one of the greatest philosophers of science of all time), I fell upon this fascinating passage: From now on an axiomatic accompanies the scientific process. We have written the accompaniment after the melody, yet the mathematician plays with both hands. And it’s a completely new way of playing; it requires multiple plans of consciousness, a subconscious affected yet acting. It is far too simple to constantly repeat that the mathematician doesn’t know what he manipulates; actually, he pretends not to know; he must manipulate the objects as if he didn’t know them; he represses his intuition; he sublimates his experience.