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Towards a Phenomenological Epistemology of Mathematical Logic


Isaac, Manuel Gustavo (2018). Towards a Phenomenological Epistemology of Mathematical Logic. Synthese, 195(2):863-874.

Abstract

This paper deals with Husserl’s idea of pure logic as it is coined in the Logical Investigations (1900/1901). First, it exposes the formation of pure logic around a conception of completeness (Sect. 2); then, it presents intentionality as the keystone of such a structuring (Sect. 3); and finally, it provides a systematic reconstruction of pure logic from the semiotic standpoint of intentionality (Sect. 4). In this way, it establishes Husserlian pure logic as a phenomenological epistemology of mathematical logic.

Abstract

This paper deals with Husserl’s idea of pure logic as it is coined in the Logical Investigations (1900/1901). First, it exposes the formation of pure logic around a conception of completeness (Sect. 2); then, it presents intentionality as the keystone of such a structuring (Sect. 3); and finally, it provides a systematic reconstruction of pure logic from the semiotic standpoint of intentionality (Sect. 4). In this way, it establishes Husserlian pure logic as a phenomenological epistemology of mathematical logic.

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Additional indexing

Item Type:Journal Article, refereed, original work
Communities & Collections:06 Faculty of Arts > Institute of Philosophy
Dewey Decimal Classification:700 Arts
Scopus Subject Areas:Social Sciences & Humanities > Philosophy
Social Sciences & Humanities > General Social Sciences
Language:English
Date:2018
Deposited On:26 Jan 2022 09:40
Last Modified:28 Jan 2024 02:41
Publisher:Springer
ISSN:0039-7857
OA Status:Closed
Publisher DOI:https://doi.org/10.1007/s11229-016-1249-z
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