Godel has argued that we can cultivate the intuition or 'perception' of abstract concepts in mathematics and logic. Godel'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 Godel'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 Godel: 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 Godel 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.
机构:
Univ Belgrade, Fac Philosophy, Cika Ljubina 18-20, Belgrade 11000, Serbia
Serbian Acad Arts & Sci, Math Inst, Knez Mihailova 36,Pf 367, Belgrade 11001, SerbiaUniv Belgrade, Fac Philosophy, Cika Ljubina 18-20, Belgrade 11000, Serbia
Dosen, Kosta
Adzic, Milos
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Univ Belgrade, Fac Philosophy, Cika Ljubina 18-20, Belgrade 11000, SerbiaUniv Belgrade, Fac Philosophy, Cika Ljubina 18-20, Belgrade 11000, Serbia