Application of natural deduction in Renaissance geometry

• Main Author: Ryszadr Mirek
• Format: Article
• Language: deu
• Published: Pedagogical University of Cracow 2014-12-01
• Series: Argument : Biannual Philosophical Journal
• Subjects: philosophy of art; perspective in painting; geometry in art perception; reasoning and aesthetic perception
• Online Access: http://argumentwp.vipserv.org/wp-content/uploads/2015/pdfv4n2/argument_v4_n2_Mirek.pdf

My goal here is to provide a detailed analysis of the methods of inference that are employed in De prospectiva pingendi. For this purpose, a method of natural deduction is proposed. The treatise by Piero della Francesca is a manifestation of a union between the fine arts and the mathematical sciences of arithmetic and geometry. He defines painting as a part of perspective and, speaking precisely, as a branch of geometry, which is why we find advanced geometrical exercises here.