Baratelli, Gabriele (2021). Mathematical Knowledge and the Origin of Phenomenology: The Question of Symbols in Early Husserl. Stud. Phaenomenol., 21. S. 273 - 295. BUCHAREST: ROMANIAN SOC PHENOMENOLOGY. ISSN 2069-0061

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Abstract

The paper is divided into two parts. In the first one, I set forth a hypothesis to explain the failure of Husserl's project presented in the Philosophie der Arithmetik based on the principle that the entire mathematical science is grounded in the concept of cardinal number. It is argued that Husserl's analysis of the nature of the symbols used in the decadal system forces the rejection of this principle. In the second part, I take into account Husserl's explanation of why, albeit independent of natural numbers, the system is nonetheless correct. It is shown that its justification involves, on the one hand, a new conception of symbols and symbolic thinking, and on the other, the recognition of the question of the formal and formalization as pivotal to understand the mathematical overall.

Item Type: Journal Article
Creators:
CreatorsEmailORCIDORCID Put Code
Baratelli, GabrieleUNSPECIFIEDUNSPECIFIEDUNSPECIFIED
URN: urn:nbn:de:hbz:38-565031
DOI: 10.5840/studphaen20212113
Journal or Publication Title: Stud. Phaenomenol.
Volume: 21
Page Range: S. 273 - 295
Date: 2021
Publisher: ROMANIAN SOC PHENOMENOLOGY
Place of Publication: BUCHAREST
ISSN: 2069-0061
Language: English
Faculty: Unspecified
Divisions: Unspecified
Subjects: no entry
Uncontrolled Keywords:
KeywordsLanguage
LOGICMultiple languages
PhilosophyMultiple languages
URI: http://kups.ub.uni-koeln.de/id/eprint/56503

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