TAILIEUCHUNG - Leonardo da Vinci: Cause, effect, linearity, and memory

In this contribution, some textual portions of the Leonardo da Vinci’s work were analyzed with the aim to highlight how, moving from Aristotle and going beyond him, he combines the intermediate positions that, from the Greek philosopher, passing through Buridan, arrive to Newton. This has been performed following a path that passes through the formulation of the principle of causality, the use of the concept of linear relationship (pyramidal law) between cause and effect and the introduction of a duration of the impression (memory) of mechanical systems. In the framework of the studies aimed to a valorization of Leonardo as a scientist, which is a crucial aspect in the analysis of the Leonardo genius, the present work sheds a new light on his intuitions about some fundamental physics concepts as well as about the conceptual model that, several centuries later, will be formalized in the modern linear response theory. | Journal of Advanced Research 14 2018 113-122 Contents lists available at ScienceDirect Journal of Advanced Research journal homepage locate jare Special Feature Leonardo da Vinci Cause effect linearity and memory Salvatore Magazùa Nella Coletta b Federica Migliardoc d Check for updates a Department of Mathematical and Informatics Sciences Physical Sciences and Earth Sciences University of Messina Viale D Alcontres 31 98166 Messina Italy bInteruniversitary Consortium for Applied Physical Sciences Viale D Alcontres 31 98166 Messina Italy c Department of Chemical Biological Pharmaceutical and Environmental Sciences University of Messina Viale D Alcontres 31 98166 Messina Italy d Laboratoire de Chimie Physique UMR8000 Université Paris Sud 91405 Orsay Cedex France HIGHLIGHTS GRAPHICAL ABSTRACT Leonardo da Vinci s physics concepts were analyzed. The principle of causality introducing a system impression was discussed. Leonardo hypothesized a general law on linearity pyramidal law . Leonardo conciliated the Aristotle s and the Newton s positions. The dynamics of Leonardo was framed within the modern linear response theory. Newton s dynamics ma F with R0 m 1 Ogni moto attends al suo mantenimento overo ogni corpo mosso sempre si move in mentre che la impressione de la potentia del suo motore in lui si riserva The effect at time t is obtained as superposition of all the past causes weighted by the response function whose value diminishes going towards the past. Therefore far causes has less relevance in respect to close causes. a r1 Aristotele s dynamics v -F b with R0 -b i present ARTICLE INFO ABSTRACT Article history Received 22 August 2018 Revised 8 September 2018 Accepted 9 September 2018 Available online 11 September 2018 Keywords Leonardo da Vinci Physics Impulse Linear response theory In this contribution some textual portions of the Leonardo da Vinci s work were analyzed with the aim to highlight how moving from Aristotle and going beyond him he .

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