Mathematics and Ontology The long Way to "structural Formalism"

被引:1
|
作者
Neuber, Matthias
机构
来源
关键词
D O I
10.3196/004433017821835614
中图分类号
B [哲学、宗教];
学科分类号
01 ; 0101 ;
摘要
Structuralism in the Philosophy of Mathematics is an intensively discussed topic. In this paper it is argued that a certain variant of mathematical structuralism is worth considering in more detail. It will be pointed out that what I call 'structural formalism' delivers us a convincing answer to the notorious Anwendungsproblem.
引用
收藏
页码:358 / 379
页数:22
相关论文
共 50 条
  • [1] Structural realism, mathematics, and ontology
    Bueno, Otavio
    [J]. STUDIES IN HISTORY AND PHILOSOPHY OF SCIENCE, 2019, 74 : 4 - 9
  • [2] Structural Realism Under Debate: Mathematics, Ontology, and Representation
    Casado, Carlos M. Madrid
    [J]. REVISTA DE FILOSOFIA-MADRID, 2008, 33 (02): : 49 - 66
  • [3] Ontology formalism transformation
    Aubrecht, P
    Král, L
    [J]. 15TH INTERNATIONAL WORKSHOP ON DATABASE AND EXPERT SYSTEMS APPLICATIONS, PROCEEDINGS, 2004, : 95 - 99
  • [4] Ontology and mathematics
    Badiou, Alain
    [J]. FILOZOFSKI VESTNIK, 2020, 41 (02) : 9 - +
  • [5] ONTOLOGY AND MATHEMATICS
    PARSONS, C
    [J]. PHILOSOPHICAL REVIEW, 1971, 80 (02): : 151 - 176
  • [6] PROGRAMMING AND FORMALISM IN MATHEMATICS
    IVERSON, KE
    [J]. CANADIAN MATHEMATICAL BULLETIN, 1966, 9 (06): : 741 - &
  • [7] Meaning and formalism in mathematics
    Dubinsky E.
    [J]. International Journal of Computers for Mathematical Learning, 2000, 5 (3): : 211 - 240
  • [8] THE MEINONGIANISM AND ONTOLOGY OF MATHEMATICS
    Nikolov, Boris
    [J]. FILOSOFIYA-PHILOSOPHY, 2020, 29 (02): : 142 - 153
  • [9] ON ONTOLOGY AND REALISM IN MATHEMATICS
    Gaifman, Haim
    [J]. REVIEW OF SYMBOLIC LOGIC, 2012, 5 (03): : 480 - 512
  • [10] MATHEMATICS, SCIENCE AND ONTOLOGY
    TYMOCZKO, T
    [J]. SYNTHESE, 1991, 88 (02) : 201 - 228