The cognitive development of Galileo's theory of buoyancy

Statistics – Methodology

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Some thirty years ago, in a seminal book, William Shea argued that between 1610 and 1632 Galileo worked out "the methodology of his intellectual revolution", and that hydrostatics was one fundamental area of research Galileo concerned himself with at that time. According to Shea, that methodology was deeply rooted in Archimedean mathematics and basically consisted in mathematically investigating classes of phenomena, such as floating bodies, under certain idealized conditions. I believe that Shea's view is fundamentally correct. I will develop it further, by reconsidering Galileo's methodology in finer detail, specifically in relation to the development of his theory of floating bodies.

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