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A Brief Introduction to Transcendental Phenomenology and Conceptual Mathematics
Södertörns högskola, Institutionen för kultur och lärande, Filosofi.
2017 (engelsk)Independent thesis Advanced level (degree of Master (One Year)), 20 poäng / 30 hpOppgaveAlternativ tittel
En kort introduktion till transcendental fenomenologi och konceptuell matematik (svensk)
Abstract [en]

By extending Husserl’s own historico-critical study to include the conceptual mathematics of more contemporary times – specifically category theory and its emphatic development since the second half of the 20th century – this paper claims that the delineation between mathematics and philosophy must be completely revisited. It will be contended that Husserl’s phenomenological work was very much influenced by the discoveries and limitations of the formal mathematics being developed at Göttingen during his tenure there and that, subsequently, the rôle he envisaged for his material a priori science is heavily dependent upon his conception of the definite manifold. Motivating these contentions is the idea of a mathematics which would go beyond the constraints of formal ontology and subsequently achieve coherence with the full sense of transcendental phenomenology. While this final point will be by no means proven within the confines of this paper it is hoped that the very fact of opening up for the possibility of such an idea will act as a supporting argument to the overriding thesis that the relationship between mathematics and phenomenology must be problematised. 

sted, utgiver, år, opplag, sider
2017. , s. 51
Emneord [en]
Edmund Husserl, category theory, definite manifold, transcendental phenomenology, mathesis universalis, mathematics, formal ontology, formal logic, categorification, de-formalisation
HSV kategori
Identifikatorer
URN: urn:nbn:se:sh:diva-32873OAI: oai:DiVA.org:sh-32873DiVA, id: diva2:1111503
Fag / kurs
Philosophy
Uppsök
Humanities, Theology
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Examiner
Tilgjengelig fra: 2017-06-21 Laget: 2017-06-19 Sist oppdatert: 2017-06-21bibliografisk kontrollert

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