Creativity is a broad phenomenon that scholars have interpreted in a multitude of ways. We notice that a majority of the views describe creativity as something innate. This paper aims to verge from this perspective and explore creativity in terms of the constant mutual interaction of a person and their environment. Using the theoretical framework, enactivism, and the notion of emergence, we investigate the creative processes involved in musical improvisations of south Indian classical or Carnatic music and mathematical proof generation. Interview excerpts from professional Carnatic musicians and research mathematicians on their respective creative processes during musical improvisation and proof generation are analyzed. This study gives a perspective to think about creativity, with an emphasis on emergence. This paper has been partly informed by selfreflections on musical improvisations and mathematical proof generation by the first author, who is a performing Carnatic vocalist and a mathematician. Journal of Humanistic Mathematics Volume 10 Number 2 (July 2020) Srividhya Balaji and Sean Chorney 195

中文翻译：

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创意的出现：Carnatic Raaga即兴创作和数学证明生成的见解

创造力是学者们以多种方式解释的一种广泛现象。我们注意到，大多数观点将创造力描述为与生俱来的。本文旨在从这个角度出发，并根据人与环境之间不断的相互作用来探索创造力。使用理论框架，Envitism和出现的概念，我们调查了南印度古典音乐或Carnatic音乐的即兴演奏和数学证明的产生所涉及的创作过程。分析了专业的Carnatic音乐家和研究数学家在音乐即兴创作和证明生成过程中各自创作过程的访谈摘录。这项研究提供了一个思考创造力的观点，并着重于出现。本文的第一篇作者是卡尔纳提克的表演歌手和数学家，他对音乐即兴创作和数学证明的自我反省为我们提供了部分信息。人文数学杂志第10卷第2期（2020年7月）Srividhya Balaji和Sean Chorney 195