薄的物体是不透明的
Matteo Plebani1, Luca San Mauro2, Giorgio Venturi3
1Dipartimento di Filosofia e Scienze dell'Educazione Università degli Studi di Torino.
概括
这项研究探讨了"薄"的数学对象是否简化了数学认识论. 它发现,虽然并非所有薄物体都是透明的,但这种缺乏透明度是抽象数学的一个关键特征.
科学领域:
- 数学的哲学数学的哲学
- 认识论的认识论学.
背景情况:
- 根据林内博的定义",薄"物体的概念是数学中某些哲学讨论的核心.
- 数学的认识论研究了数学知识的性质和理由.
研究的目的:
- 分析假设"薄"的数学对象是否简化了数学认识论.
- 介绍和检查与薄物体相关的透明度概念.
主要方法:
- 对"薄"物体及其属性的概念分析.
- 介绍了数学对象的"透明度"概念.
- 基于薄,透明和抽象数学之间的关系的论证.
主要成果:
- 这项研究表明,并非所有"薄"的数学对象都具有透明度.
- 它表明,在一些薄的物体中缺乏透明度并不是一个缺陷.
结论:
- 在某些"薄"的数学对象中缺乏透明度是抽象数学的一个"有成效的特征标志".
- 这一发现有助于理解数学对象的性质和抽象数学中的知识获取.
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