Essays about: "definite manifold"

Found 1 essay containing the words definite manifold.

  1. 1. A Brief Introduction to Transcendental Phenomenology and Conceptual Mathematics

    University essay from Södertörns högskola/Filosofi

    Author : Nicholas Lawrence; [2017]
    Keywords : Edmund Husserl; category theory; definite manifold; transcendental phenomenology; mathesis universalis; mathematics; formal ontology; formal logic; categorification; de-formalisation;

    Abstract : 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. READ MORE