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Original scientific paper

https://doi.org/10.21857/y26kecln09

Ancient Roots of Getaldić’s Work on the Development of Mathematical Analysis and Synthesis

Marijana Borić ; Institute for the History and Philosophy of Science, CASA, Zagreb, Croatia


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Abstract

Ancient methods of analysis and synthesis created in Greek philosophy transformed during the Renaissance and developed within the field of mathematics, which can also be noticed in the works of Marin Getaldić. His successful restorations and reconstructions of the missing works of Apollonius of Perga are a telling example of a transfer of the lost ancient theories widely echoed in the literature of
the early modern period. Getaldić was also concerned with the focal area of the Renaissance mathematics⸺symbolic algebra. With his new methods Getaldić made a step towards the founding of a new mathematical area, analytic geometry. Equally, in the field of natural philosophy (physics), he successfully combined ancient tradition with the modern problem of method, and in his first work Promotus Archimedesused experimental and mathematical method, which is an early example of the modern approach to the study of natural sciences.

Keywords

Marin Getaldić; mathematics; philosophy; analysis; synthesis; symbolic algebra; mathematical restorations; transfer of knowledge; problem of method

Hrčak ID:

288135

URI

https://hrcak.srce.hr/288135

Publication date:

1.12.2022.

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