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  1. 首页
  2. 新罗素主义的抽象主义.
  1. 首页
  2. 新罗素主义的抽象主义.

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新罗素主义的抽象主义.

Bahram Assadian1

  • 1School of Philosophy, Religion and History of Science, University of Leeds, Woodhouse Lane, Leeds, LS2 9JT UK.

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在PubMed 上查看摘要

概括
此摘要是机器生成的。

本文探讨了一种新的抽象主义变体,提出数字表达式指的是对象. 它解决了这种新罗素主义方法的挑战,专注于本体学,无限和引用数字.

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科学领域:

  • 数学的哲学数学的哲学
  • 逻辑与分析哲学 逻辑与分析哲学

背景情况:

  • 新弗里根抽象主义认为,像"F数"这样的数值表达式是指对象的单数术语.
  • 姆的原理是这一观点的核心,它将数值项与集合的属性联系起来.

研究的目的:

  • 探索一种抽象主义的变体,数字表达式具有存在的断言性内容,类似于罗素对描述的分析.
  • 调查和提出解决这种新罗素主义抽象主义方法面临的三个关键挑战的解决方案.

主要方法:

  • 对将拉塞尔的描述理论应用于休姆原理的语义和本体学含义的分析.
  • 检查与本体学谦虚相关的挑战,将自然数的无限性定为基础,并使识别数字的引用成为可能.

主要成果:

  • 罗素主义者对休原理的释在保持本体学谦虚方面面临着挑战.
  • 这种方法可能会破坏自然数及其无限性的客观性质.
  • 它潜在地阻碍了将数字视为特定对象的能力,影响了柏拉图主义.

结论:

  • 这篇论文探讨了新罗素主义抽象主义的可行性.
  • 它提出了解决方案,以解决有关本体学,数无限和引用的已识别的挑战.
  • 这项研究旨在在数学哲学中改进抽象主义理论.