Avicenna on the Nature of Mathematical Objects

被引:5
|
作者
Zarepour, Mohammad Saleh [1 ]
机构
[1] Univ Cambridge, Cambridge CB2 1TN, England
关键词
Avicenna; mathematical objects; estimation; immateriality; separability; dependency on materiality; ARISTOTLE;
D O I
10.1017/S0012217316000524
中图分类号
B [哲学、宗教];
学科分类号
01 ; 0101 ;
摘要
Some authors have proposed that Avicenna considers mathematical objects, i.e., geometric shapes and numbers, to be mental existents completely separated from matter. In this paper, I will show that this description, though not completely wrong, is misleading. Avicenna endorses, I will argue, some sort of literalism, potentialism, and finitism.
引用
收藏
页码:511 / 536
页数:26
相关论文
共 50 条
  • [1] HOLISM AND THE NATURE OF MATHEMATICAL OBJECTS
    Khromchenko, Anna S.
    [J]. VESTNIK TOMSKOGO GOSUDARSTVENNOGO UNIVERSITETA-FILOSOFIYA-SOTSIOLOGIYA-POLITOLOGIYA-TOMSK STATE UNIVERSITY JOURNAL OF PHILOSOPHY SOCIOLOGY AND POLITICAL SCIENCE, 2020, 55 : 29 - 35
  • [2] MATHEMATICAL OBJECTS NATURE: REPRESENTATION AND MEANING
    Pecharroman, Cristina
    [J]. ENSENANZA DE LAS CIENCIAS, 2013, 31 (03): : 121 - 134
  • [3] The indispensability argument and the nature of mathematical objects
    Plebani, Matte
    [J]. THEORIA-REVISTA DE TEORIA HISTORIA Y FUNDAMENTOS DE LA CIENCIA, 2018, 33 (02): : 249 - 263
  • [4] What is the Nature of Mathematical–Logical Objects?
    Stathis Livadas
    [J]. Axiomathes, 2017, 27 : 79 - 112
  • [5] Avicenna on Mathematical Infinity
    Zarepour, Mohammad Saleh
    [J]. ARCHIV FUR GESCHICHTE DER PHILOSOPHIE, 2020, 102 (03): : 379 - 425
  • [6] What is the Nature of Mathematical-Logical Objects?
    Livadas, Stathis
    [J]. AXIOMATHES, 2017, 27 (01): : 79 - 112
  • [7] AVICENNA AND THE PHYSICAL AND MATHEMATICAL SCIENCES
    SIRAZHDINOV, SK
    MATVIEVSKAYA, GP
    AKHMEDOV, A
    [J]. VOPROSY FILOSOFII, 1980, (09) : 106 - 111
  • [8] Avicenna against Mathematical Platonism
    Zarepour, Mohammad Saleh
    [J]. ORIENS, 2019, 47 (3-4) : 197 - 243
  • [9] AVICENNA ON GRASPING MATHEMATICAL CONCEPTS
    Zarepour, Mohammad Saleh
    [J]. ARABIC SCIENCES AND PHILOSOPHY, 2021, 31 (01) : 95 - 126