Leibniz's Critique of Infinite Numbers and its Impact in his Metaphysics of Bodies

被引：2

作者：

Fazio, Rodolfo ^{[1
]}

机构：

[1] Univ Buenos Aires, Inst Filosofia, Puan 480, RA-1406 Buenos Aires, Argentina

来源：

THEORIA-REVISTA DE TEORIA HISTORIA Y FUNDAMENTOS DE LA CIENCIA | 2016年 / 31卷 / 02期

关键词：

Leibniz; infinite numbers; body; continuous quantity; extension; MATHEMATICS;

D O I：

10.1387/theoria.14935

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：

In this paper we study the impact of Leibniz's critique of infinite numbers in his metaphysics of bodies. After presenting the relation that the German philosopher establishes in his youth between the notions of body, extension and infinite quantities (1672-1673), we analyze his thoughts on the paradoxes of the infinite numbers (1672-1676) and we claim that his defense of the inconsistency of such numbers is an inflexion point in his conception of body and mark the beginning of his offensive against the res extensa.

引用

页码：159 / 175

页数：17

共 32 条

[1] Leibniz, the Infinite, and Blake's Early Metaphysics
Fletcher, Joseph
[J]. STUDIES IN ROMANTICISM, 2017, 56 (02) : 129 - 155
[2] Leibniz's Theory of Substance and His Metaphysics of the Incarnation
Antognazza, Maria Rosa
[J]. LOCKE AND LEIBNIZ ON SUBSTANCE, 2015, 14 : 231 - 252
[3] In the face of the infinite: for Nietzsche's critique of metaphysics
Scandella, Maurizio
[J]. JOURNAL OF NIETZSCHE STUDIES, 2014, 45 (02): : 228 - 229
[4] Leibniz's metaphysics - Its origins and development
Hawthorne, J
[J]. TLS-THE TIMES LITERARY SUPPLEMENT, 2003, (5217): : 10 - 11
[5] Leibniz's metaphysics: Its origins and development
Antognazza, MR
[J]. JOURNAL OF THE HISTORY OF PHILOSOPHY, 2003, 41 (01) : 131 - 132
[6] Leibniz's Metaphysics: Its Origins and Development
Luchte, James
[J]. HEYTHROP JOURNAL-A QUARTERLY REVIEW OF PHILOSOPHY AND THEOLOGY, 2009, 50 (02): : 328 - 329
[7] Leibniz's Metaphysics of Time and His Practice as Historian and Physicist
Grosholz, Emily
[J]. STUDIA LEIBNITIANA, 2012, 44 (01) : 1 - 13
[8] Leibniz's metaphysics: Its origins and development.
Murray, MJ
[J]. PHILOSOPHICAL REVIEW, 2003, 112 (02): : 270 - 273
[9] Leibniz's metaphysics. Its origins and development
Perler, D
[J]. PHILOSOPHISCHE RUNDSCHAU, 2002, 49 (04) : 273 - 289
[10] Leibniz's metaphysics: its origins and development.
White, MJ
[J]. PHILOSOPHICAL QUARTERLY, 2004, 54 (214): : 177 - 180

← 1 2 3 4 →