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
  • [1] Godel on Conceptual Realism and Mathematical Intuition
    Lazaroiu, George
    Bratu, Sofia
    Gonciulea, Antonela
    Covaci, Mihai
    PROCEEDINGS OF THE AMERICAN CONFERENCE ON APPLIED MATHEMATICS: RECENT ADVANCES IN APPLIED MATHEMATICS, 2009, : 382 - +
  • [2] Godel on concepts
    Crocco, G
    HISTORY AND PHILOSOPHY OF LOGIC, 2006, 27 (02) : 171 - 191
  • [3] Godel's encounters with formalism, intuition, and Kant
    Webb, J
    REVUE INTERNATIONALE DE PHILOSOPHIE, 2005, 59 (234) : 491 - 512
  • [4] On Godel Algebras of Concepts
    Codara, Pietro
    Valota, Diego
    LOGIC, LANGUAGE, AND COMPUTATION (TBILLC 2015), 2017, 10148 : 251 - 262
  • [5] Philosophy of mathematics: Intuition in Kurt Godel's thought
    Pena Paez, Lina Maria
    FILOSOFIA UNISINOS, 2021, 22 (02):
  • [6] Intuition and Ingenuity: Godel on Turing's "Philosophical Error"
    Chen, Long
    PHILOSOPHIES, 2022, 7 (02)
  • [7] PLATONISM AND MATHEMATICAL INTUITION IN KURT GODEL'S THOUGHT
    Parsons, Charles
    BULLETIN OF SYMBOLIC LOGIC, 1995, 1 (01) : 44 - 74
  • [8] The Role of Intuition in Godel's and Robinson's Points of View
    Leven, Talia
    AXIOMATHES, 2019, 29 (05): : 441 - 461
  • [9] Gödel And The Intuition Of Concepts
    Richard Tieszen
    Synthese, 2002, 133 : 363 - 391
  • [10] Operationalization of Social Science Concepts by Intuition
    Willem E. Saris
    Irmtraud Gallhofer
    Quality and Quantity, 2004, 38 : 235 - 258