The Three Formal Phenomenological Structures: A Means to Assess the Essence of Mathematical Intuition

Journal of Consciousness Studies 26 (5-6):219-241 (2019)
  Copy   BIBTEX

Abstract

In a recent article I detailed at length the methodology employed to explore the reflective and pre-reflective contents of singular intuitive experiences in contemporary mathematics in order to propose an essential structure of intuition arousal in mathematics. In this paper I present the phenomenological assessment of the essential structure according to the three formal structures as proposed by Sokolowski's scheme and show their relevance in the description of the intuitive experience in mathematics. I also show that this essential structure acknowledges the perceptualist view of intuition, as proposed by Chudnoff, and discuss the analogy that is often proposed and argued between mathematical intuition and ordinary perceptive intuition.

Links

PhilArchive



    Upload a copy of this work     Papers currently archived: 90,616

External links

Setup an account with your affiliations in order to access resources via your University's proxy server

Through your library

Similar books and articles

Intuition and Reality of Signs.Vitali Tselishchev - 2008 - Proceedings of the Xxii World Congress of Philosophy 41:57-63.
Mathematical intuition.John-E. Nolt - 1983 - Philosophy and Phenomenological Research 44:189-212.
Intuition and heuristics in mathematics.L. B. Sultanova - 2013 - Liberal Arts in Russia 2 (3):237.
Kitcher, Mathematical Intuition, and Experience.Mark McEvoy - 2007 - Philosophia Mathematica 15 (2):227-237.
Nominalism and Mathematical Intuition.Otávio Bueno - 2008 - ProtoSociology 25:89-107.
Getting in Touch with Numbers.Colin Cheyne - 1997 - Philosophy and Phenomenological Research 57 (1):111-125.
Kurt Godel and phenomenology.Richard Tieszen - 1992 - Philosophy of Science 59 (2):176-194.
Geometry and Spatial Intuition: A Genetic Approach.Rene Jagnow - 2003 - Dissertation, Mcgill University (Canada)
Seeing Sequences.David Galloway - 1999 - Philosophy and Phenomenological Research 59 (1):93-112.
Seeing sequences.David Galloway - 1999 - Philosophy and Phenomenological Research 59 (1):93-112.
Facet-like structures in computer science.Uta Priss - 2008 - Axiomathes 18 (2):243-255.

Analytics

Added to PP
2019-06-15

Downloads
29 (#474,681)

6 months
7 (#176,166)

Historical graph of downloads
How can I increase my downloads?

Citations of this work

No citations found.

Add more citations

References found in this work

No references found.

Add more references