Intuitionism in the Philosophy of Mathematics: Introducing a Phenomenological Account

Philosophia Mathematica 28 (2):204-235 (2020)
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The aim of this paper is to establish a phenomenological mathematical intuitionism that is based on fundamental phenomenological-epistemological principles. According to this intuitionism, mathematical intuitions are sui generis mental states, namely experiences that exhibit a distinctive phenomenal character. The focus is on two questions: what does it mean to undergo a mathematical intuition and what role do mathematical intuitions play in mathematical reasoning? While I crucially draw on Husserlian principles and adopt ideas we find in phenomenologically minded mathematicians such as Hermann Weyl and Kurt Gödel, the overall objective is systematic in nature: to offer a plausible approach towards mathematics.



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Philipp Berghofer
University of Graz

References found in this work

The Philosophy of Philosophy.Timothy Williamson - 2007 - Malden, MA: Wiley-Blackwell.
Skepticism and the Veil of Perception.Michael Huemer (ed.) - 2001 - Lanham: Rowman & Littlefield.
Compassionate phenomenal conservatism.Michael Huemer - 2007 - Philosophy and Phenomenological Research 74 (1):30–55.
The Intellectual Given.John Bengson - 2015 - Mind 124 (495):707-760.
Formal and transcendental logic.Edmund Husserl - 1969 - The Hague,: Martinus Nijhoff.

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