Gödel And The Intuition Of Concepts

Synthese 133 (3):363-391 (2002)
Gödel has argued that we can cultivate the intuition or 'perception' of abstract concepts in mathematics and logic. Gödel's ideas about the intuition of concepts are not incidental to his later philosophical thinking but are related to many other themes in his work, and especially to his reflections on the incompleteness theorems. I describe how some of Gödel's claims about the intuition of abstract concepts are related to other themes in his philosophy of mathematics. In most of this paper, however, I focus on a central question that has been raised in the literature on Gödel: what kind of account could be given of the intuition of abstract concepts? I sketch an answer to this question that uses some ideas of a philosopher to whom Gödel also turned in this connection: Edmund Husserl. The answer depends on how we understand the conscious directedness toward 'objects' and the meaning of the term 'abstract' in the context of a theory of the intentionality of cognition.
Keywords Philosophy   Philosophy   Epistemology   Logic   Metaphysics   Philosophy of Language
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Reprint years 2004
DOI 10.1023/A:1021247624209
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On the Philosophical Development of Kurt Gödel.Mark Van Atten & Juliette Kennedy - 2003 - Bulletin of Symbolic Logic 9 (4):425-476.
NATURE's DARK DOMAIN: AN ARGUMENT FOR A NATURALIZED PHENOMENOLOGY.David Roden - 2013 - Royal Institute of Philosophy Supplement 72:169-88.
Gödel, Kant, and the Path of a Science.Srećko Kovač - 2008 - Inquiry: Journal of Philosophy 51 (2):147-169.

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