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Mathematicians Versus Philosophers in Recent Work on Mathematical Beauty
Journal of Humanistic Mathematics ( IF 0.3 ) Pub Date : 2018-01-01 , DOI: 10.5642/jhummath.201801.20
Viktor Blåsjö

Recent attempts at defining mathematical beauty fall roughly into two schools of thought. One takes its starting point in the subjective experience of the mathematician and characterises mathematical beauty in cognitive terms. The other seeks to reduce beauty to objective notions such as truth, symmetry, or simplicity. This second approach is popular among analytic philosophers, who are committed to seeing mathematics and science as prototypically rational enterprises. I criticise this stance on the grounds that this commitment makes its supporters approach beauty in mathematics not with a genuine desire to sympathetically understand it, but with the preconceived goal of explaining it away and playing it down.

中文翻译:

数学家与哲学家在数学美的最新研究中

最近定义数学美的尝试大致分为两种思想流派。一个以数学家的主观经验为出发点,并从认知角度描述数学之美。另一个试图将美归结为客观观念,例如真理,对称或简单。第二种方法在分析哲学家中很流行,他们致力于将数学和科学视为原型理性企业。我批评这种立场的理由是,这种承诺使支持者在数学上追求美,不是出于真诚地希望能同情地理解它,而是以预先设想的目的去解释它并淡化它。
更新日期:2018-01-01
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