薄对象不透明

IF 0.3 3区哲学 0 PHILOSOPHY

Theoria-A Swedish Journal of Philosophy Pub Date : 2023-06-01 Epub Date: 2021-11-25 DOI:10.1111/theo.12373

Matteo Plebani, Luca San Mauro, Giorgio Venturi

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引用次数: 0

摘要

在这篇短文中，我们分析了假设数学对象是林内博意义上的 "薄 "是否简化了数学认识论。为此，我们引入了 "透明 "的概念，并说明并非所有薄的对象都是透明的。最后，我们认为，某些稀薄对象缺乏透明度不仅不是稀薄对象的弱点，反而是抽象数学富有成果的特征标志。

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Thin Objects Are Not Transparent.

In this short paper, we analyse whether assuming that mathematical objects are "thin" in Linnebo's sense simplifies the epistemology of mathematics. Towards this end, we introduce the notion of transparency and show that not all thin objects are transparent. We end by arguing that, far from being a weakness of thin objects, the lack of transparency of some thin objects is a fruitful characteristic mark of abstract mathematics.

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来源期刊

Theoria-A Swedish Journal of Philosophy PHILOSOPHY-

CiteScore

0.70

自引率

0.00%

发文量

期刊介绍： Since its foundation in 1935, Theoria publishes research in all areas of philosophy. Theoria is committed to precision and clarity in philosophical discussions, and encourages cooperation between philosophy and other disciplines. The journal is not affiliated with any particular school or faction. Instead, it promotes dialogues between different philosophical viewpoints. Theoria is peer-reviewed. It publishes articles, reviews, and shorter notes and discussions. Short discussion notes on recent articles in Theoria are welcome.