A reductionist reading of Husserl's phenomenology by Mach's
descriptivism and phenomenalism
Abstract
Husserl’s phenomenology is what is used, and then the conception of
“bracketing reality” is modelled to generalize Peano arithmetic in its
relation to set theory in the foundation of mathematics. The obtained
model is equivalent to the generalization of Peano arithmetic by means
of replacing the axiom of induction with that of transfinite induction.
A comparison to Mach’s doctrine is used to be revealed the fundamental
and philosophical reductionism of Husserl’s phenomenology leading to a
kind of Pythagoreanism in the final analysis