Intuitionism in the Philosophy of Mathematics: Introducing a Phenomenological Account

Autor:	Philipp Berghofer
Rok vydání:	2020
Předmět:	Philosophy Philosophy of mathematics Intuitionism General Mathematics 060302 philosophy 010102 general mathematics 06 humanities and the arts 0101 mathematics 0603 philosophy ethics and religion 01 natural sciences Epistemology
Zdroj:	Philosophia Mathematica. 28:204-235
ISSN:	1744-6406 0031-8019
DOI:	10.1093/philmat/nkaa011
Popis:	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.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::ed906674083b50c18aa5f72b377b959a https://doi.org/10.1093/philmat/nkaa011 Zobrazit plný text záznamu Plný text ve formátu PDF Plný text ve formátu HTML
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