Godel and the intuition of concepts

被引:11
|
作者
Tieszen, R [1 ]
机构
[1] San Jose State Univ, Dept Philosophy, San Jose, CA 95192 USA
关键词
D O I
10.1023/A:1021247624209
中图分类号
N09 [自然科学史]; B [哲学、宗教];
学科分类号
01 ; 0101 ; 010108 ; 060207 ; 060305 ; 0712 ;
摘要
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.
引用
收藏
页码:363 / 391
页数:29
相关论文
共 50 条
  • [31] GOOD FOR GODEL
    BIERMAN, T
    NEW SCIENTIST, 1993, 137 (1858) : 58 - 59
  • [32] RUSSELL AND GODEL
    Urquhart, Alasdair
    BULLETIN OF SYMBOLIC LOGIC, 2016, 22 (04) : 504 - 520
  • [33] GODEL DIFFEOMORPHISMS
    Foreman, Matthew
    BULLETIN OF SYMBOLIC LOGIC, 2020, 26 (3-4) : 219 - 223
  • [34] GODEL REDUX
    MANASTERRAMER, A
    ZADROZNY, W
    SAVITCH, WJ
    BEHAVIORAL AND BRAIN SCIENCES, 1990, 13 (04) : 675 - 675
  • [35] GODEL AND EPIMENIDES
    TUCKER, J
    PROCEEDINGS OF THE ARISTOTELIAN SOCIETY, 1959, 59 (01): : 25 - 48
  • [36] GODEL PROOF
    HEATON, JM
    LANCET, 1960, 1 (JAN23): : 227 - 227
  • [37] Godel and computations
    Pudlak, Pavel
    CCC 2006: TWENTY-FIRST ANNUAL IEEE CONFERENCE ON COMPUTATIONAL COMPLEXITY, PROCEEDINGS, 2006, : 3 - 5
  • [38] Godel.
    Dawson, JW
    HISTORY AND PHILOSOPHY OF LOGIC, 2005, 26 (01) : 65 - 66
  • [39] MATHEMATICAL INTUITION AND INTUITION IN THE TEACHING OF MATHEMATICS
    Kadum, Vladimir
    METODICKI OGLEDI-METHODICAL REVIEW, 2006, 13 (01): : 83 - 93
  • [40] Godel on Tarski
    Krajewski, S
    ANNALS OF PURE AND APPLIED LOGIC, 2004, 127 (1-3) : 303 - 323