一个基本系统的点是什么? 标记,计算和非整数
Oisín Parkinson-Coombs1, Rafael Núñez1
1D-GESS, ETH Zürich, Zürich, Switzerland.
概括
我们对数字系统的理解受到概念盲点的限制. 历史分析揭示了十进制系统.
科学领域:
- 科学的历史科学的历史.
- 数学理论 数学理论
- 认知科学 认知科学
背景情况:
- 现代社会在很大程度上依赖于基本的数字系统和指数化.
- 熟悉精确的数字表示,就它们的历史发展和底层结构造成了一个盲点.
- 基本系统的概念化通常被认为是理所当然的,掩盖了它们的进化道路.
研究的目的:
- 调查非整数的十进制基础系统的历史发展.
- 揭示如何随机因素和单独的领域工具影响了数字系统的采用.
- 解决关于基础系统,指数和非整数的结构和目的的概念盲点.
主要方法:
- 对非整数的十进制基础系统的长期发展进行历史检查.
- 在基础和位置系统中分析指数的出现.
- 对编号系统的历史和当代背景进行比较研究.
主要成果:
- 非整数的十进制系统在整数定位系统出现几个世纪后出现.
- 它的开发依赖于来自不同领域的工具,而不是最初的精度问题.
- 采用是由计算效益驱动的,而不是固有的结构清晰度.
结论:
- 基础和位置系统的结构,包括指数化,源于扩展,而不是最初的设计.
- 了解编号系统的历史对于当代研究至关重要.
- 在应用数学语言时,需要对历史背景的敏感性.
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