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A reductionist reading of Husserl’s phenomenology by Mach’s descriptivism and phenomenalism

Penchev, Vasil (2020) A reductionist reading of Husserl’s phenomenology by Mach’s descriptivism and phenomenalism. [Preprint]

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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.


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Item Type: Preprint
Creators:
CreatorsEmailORCID
Penchev, Vasilvasildinev@gmail.com
Keywords: eidetic reduction, phenomenological reduction transcendental reduction; epoché; Husserl’s, phenomenology; Mach’s “economy of thought”
Subjects: Specific Sciences > Mathematics > Foundations
General Issues > Scientific Metaphysics
Specific Sciences > Mathematics
General Issues > Philosophers of Science
General Issues > Reductionism/Holism
Depositing User: Prof. Vasil Penchev
Date Deposited: 27 Apr 2020 16:33
Last Modified: 27 Apr 2020 16:33
Item ID: 17117
Subjects: Specific Sciences > Mathematics > Foundations
General Issues > Scientific Metaphysics
Specific Sciences > Mathematics
General Issues > Philosophers of Science
General Issues > Reductionism/Holism
Date: 26 April 2020
URI: http://philsci-archive.pitt.edu/id/eprint/17117

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