Not Quite Yet a Hazy Limbo of Mystery: Intuition in Russell’s An Essay on the Foundations of Geometry

IF 1.8 1区 哲学 0 PHILOSOPHY MIND Pub Date : 2024-10-08 DOI:10.1093/mind/fzae041
Tyke Nunez
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Abstract

I argue that in Bertrand Russell’s An Essay on the Foundations of Geometry (1897), his forms of externality serve the same fundamental role in grounding the possibility of geometry that Immanuel Kant’s forms of intuition serve in grounding geometry in his critical philosophy. Specifically, both provide knowledge of bare numerical difference, where we have no concept of this difference. Because geometry deals with such conceptually homogeneous magnitudes and their composition on both accounts, forms of intuition or externality (respectively) are at its foundation.
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尚不完全是朦胧的迷雾:罗素《几何基础论》中的直觉
我认为,在伯特兰-罗素的《几何学基础论》(1897 年)中,他的外在性形式在几何学可能性的基础上发挥了与伊曼努尔-康德的直观形式在其批判哲学中在几何学基础上发挥的相同的基本作用。具体地说,两者都提供了关于赤裸裸的数字差异的知识,而我们却没有关于这种差异的概念。由于几何学处理的是这种概念上同质的量及其构成,因此直观或外在性(分别)的形式是几何学的基础。
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来源期刊
MIND
MIND PHILOSOPHY-
CiteScore
3.10
自引率
5.60%
发文量
47
期刊介绍: Mind has long been a leading journal in philosophy. For well over 100 years it has presented the best of cutting edge thought from epistemology, metaphysics, philosophy of language, philosophy of logic, and philosophy of mind. Mind continues its tradition of excellence today. Mind has always enjoyed a strong reputation for the high standards established by its editors and receives around 350 submissions each year. The editor seeks advice from a large number of expert referees, including members of the network of Associate Editors and his international advisers. Mind is published quarterly.
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