ABSTRACT

Jacob Klein’s philosophical-mathematical account of the origin of the basic concept in modern mathematics—the symbolic concept of number—is explicated, paying close attention to the distinction between the immanent mathematical and philosophical aspects of his account. Crucial to the former is the generalization of the being and concept of number in Viète’s Analytic Art and the formalization of the object of mathematical analysis, while crucial to the latter is the symbolic mode of being proper to both the presentation and concept of the generalized and formalized object of analysis.