ArgumentThe purpose of this paper is to provide an analysis of Giordano Bruno’s conception of mathematics. Specifically, it intends to highlight two aspects of this conception that have been neglected in previous studies. First, Bruno’s conception of mathematics changed over time and in parallel with another concept that was central to his thought: the concept of infinity. Specifically, Bruno undertook a reform of mathematics in order to accommodate the concept of the infinitely small or “minimum,” which was introduced at a later stage. Second, contrary to what Héléne Védrine claimed, Bruno believed that mathematical objects were mind-dependent. To chart the parallel development of the conceptions of mathematics and infinity, a seven-year time span is considered, from the publication of Bruno’s first Italian dialogue (La cena de le ceneri, 1584) to the publication of one of his last Latin works (De minimo, 1591).

中文翻译：

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佐丹奴·布鲁诺（Giordano Bruno）的白话和拉丁语作品中改变数学和无穷大的概念

论证本文的目的是对佐丹奴布鲁诺的数学概念进行分析。具体来说，它打算强调这一概念的两个方面，这些方面在以前的研究中被忽视了。首先，布鲁诺的数学概念随着时间的推移发生了变化，并且与他思想的另一个核心概念平行：无穷大的概念。具体来说，布鲁诺对数学进行了改革，以适应后来引入的无限小或“最小值”的概念。其次，与 Héléne Védrine 所声称的相反，布鲁诺认为数学对象是依赖于心智的。为了描绘数学和无穷大概念的平行发展，考虑了七年的时间跨度，从布鲁诺的第一次意大利对话的出版（La cena de le ceneri，1584）出版他最后的拉丁作品之一（小微, 1591)。