Kish Bar-On Kati
The Science, Technology, and Society Program Massachusetts Institute of Technology, Cambridge, USA.
Stud Hist Philos Sci. 2024 Dec;108:28-37. doi: 10.1016/j.shpsa.2024.09.008. Epub 2024 Oct 7.
Brouwer's philosophy of mathematics is usually regarded as an intra-subjective, even solipsistic approach, an approach that also underlies his mathematical intuitionism, as he strived to create a mathematics that develops out of something inner and a-linguistic. Thus, points of connection between Brouwer's mathematical views and his views about and the social world seem improbable and are rarely mentioned in the literature. The current paper aims to challenge and change that. The paper employs a socially oriented prism to examine Brouwer's views on the construction, use, and practice of mathematics. It focuses on Brouwer's views on language, his social interactions, and the importance of group context as they appear in the significs dialogues. It does so by exploring the establishment and dissolution of the significs movement, focusing on Gerrit Mannoury's influence and relationship with Brouwer and analyzing several fragments from the significs dialogues while emphasizing the role Brouwer ascribed to groups in forming and sharing new ideas. The paper concludes by raising two questions that challenge common historical and philosophical readings of intuitionism.
布劳威尔的数学哲学通常被视为一种主观内在甚至是唯我论的方法，这种方法也是他的数学直觉主义的基础，因为他努力创造一种源于内在和非语言的东西的数学。因此，布劳威尔的数学观点与他关于社会世界的观点之间的联系似乎不太可能，并且在文献中很少被提及。本文旨在挑战并改变这种情况。本文采用一种以社会为导向的视角来审视布劳威尔关于数学的建构、使用和实践的观点。它关注布劳威尔在语言、他的社会互动以及群体背景的重要性方面的观点，这些观点体现在符号学对话中。通过探索符号学运动的建立和解散，关注杰里特·曼诺里对布劳威尔的影响及他们之间的关系，并分析符号学对话中的几个片段，同时强调布劳威尔赋予群体在形成和分享新思想方面的作用，来实现这一目标。本文最后提出了两个问题，这些问题挑战了对直觉主义的常见历史和哲学解读。
