David Bourget (Western Ontario)
David Chalmers (ANU, NYU)
Rafael De Clercq
Ezio Di Nucci
Jonathan Jenkins Ichikawa
Jack Alan Reynolds
Learn more about PhilPapers
Synthese 133 (3):363 - 391 (2002)
Gödel has argued that we can cultivate the intuition or perception of abstractconcepts in mathematics and logic. Gödel's ideas about the intuition of conceptsare not incidental to his later philosophical thinking but are related to many otherthemes 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|
|Categories||categorize this paper)|
Setup an account with your affiliations in order to access resources via your University's proxy server
Configure custom proxy (use this if your affiliation does not provide a proxy)
|Through your library|
References found in this work BETA
No references found.
Citations of this work BETA
Anand Jayprakash Vaidya (2010). Understanding and Essence. Philosophia 38 (4):811-833.
Richard Tieszen (2012). Monads and Mathematics: Gödel and Husserl. Axiomathes 22 (1):31-52.
Similar books and articles
Francesco Berto (2009). The Gödel Paradox and Wittgenstein's Reasons. Philosophia Mathematica 17 (2):208-219.
Mark Steiner (2001). Wittgenstein as His Own Worst Enemy: The Case of Gödel's Theorem. Philosophia Mathematica 9 (3):257-279.
Gabriella Crocco (2003). Gödel, Carnap and the Fregean Heritage. Synthese 137 (1-2):21 - 41.
Panu Raatikainen (2005). On the Philosophical Relevance of Gödel's Incompleteness Theorems. Revue Internationale de Philosophie 59 (4):513-534.
Kai Hauser (2006). Gödel's Program Revisited Part I: The Turn to Phenomenology. Bulletin of Symbolic Logic 12 (4):529-590.
Richard L. Tieszen (2011). After Gödel: Platonism and Rationalism in Mathematics and Logic. Oxford University Press.
Kurt Gödel, Solomon Feferman, Charles Parsons & Stephen G. Simpson (eds.) (2010). Kurt Gödel: Essays for His Centennial. Association for Symbolic Logic.
Xiaoli Liu (2010). Gödel's Philosophical Program and Husserl's Phenomenology. Synthese 175 (1):33 - 45.
Michael Potter (2001). Was Gödel a Gödelian Platonist? Philosophia Mathematica 9 (3):331-346.
Richard Tieszen (1992). Kurt Godel and Phenomenology. Philosophy of Science 59 (2):176-194.
Added to index2009-01-28
Total downloads85 ( #56,783 of 1,925,476 )
Recent downloads (6 months)13 ( #61,379 of 1,925,476 )
How can I increase my downloads?