Philosophia Mathematica 28 (2):204-235 (2020)

Philipp Berghofer
University of Graz
ABSTRACT 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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DOI 10.1093/philmat/nkaa011
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References found in this work BETA

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.

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Phenomenology, Anti‐Realism, and the Knowability Paradox.James Kinkaid - forthcoming - European Journal of Philosophy.

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