Kish Bar-On Kati
Cohn Institute for the History and Philosophy of Science and Ideas, Tel Aviv University.
Sci Context. 2021 Mar;34(1):51-68. doi: 10.1017/S0269889722000047.
The paper explores Hermann Weyl's turn to intuitionism through a philosophical prism of normative framework transitions. It focuses on three central themes that occupied Weyl's thought: the notion of the continuum, logical existence, and the necessity of intuitionism, constructivism, and formalism to adequately address the foundational crisis of mathematics. The analysis of these themes reveals Weyl's continuous endeavor to deal with such fundamental problems and suggests a view that provides a different perspective concerning Weyl's wavering foundational positions. Building on a philosophical model of scientific framework transitions and the special role that normative indecision or ambivalence plays in the process, the paper examines Weyl's motives for considering such a radical shift in the first place. It concludes by showing that Weyl's shifting stances should be regarded as symptoms of a deep, convoluted intrapersonal process of self-deliberation induced by exposure to external criticism.
本文通过规范框架转换的哲学视角，探讨了赫尔曼·外尔向直觉主义的转变。它聚焦于占据外尔思想的三个核心主题：连续统的概念、逻辑存在，以及直觉主义、构造主义和形式主义对于充分应对数学基础危机的必要性。对这些主题的分析揭示了外尔为处理此类基本问题所做的持续努力，并提出了一种观点，该观点为外尔摇摆不定的基础立场提供了不同的视角。基于科学框架转换的哲学模型以及规范不确定性或矛盾心理在这一过程中所起的特殊作用，本文首先考察了外尔考虑如此激进转变的动机。文章最后表明，外尔立场的转变应被视为因受到外部批评而引发的深刻、复杂的个人内心自我审视过程的表现。
