What’s Location Got to Do with It? Place, Space, and the Infinite in Classical Greek Mathematics

Mendell, Henry

doi:10.1007/978-3-319-12102-4_2

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Relationalist and Substantivalist Approaches To Space1

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2018

2022

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Cited by 3 publications

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“…Unfortunately, there are no studies on the role played by ancient mathematicians on the influence their geometry has had on the concept of space. Generally it is sustained, see for instance [15,16] (Introduction), that at the beginning mathematicians focused their attention on figures, rather than to the ambient space; thus, theirs was a geometry of figures; only later was space considered explicitly as an independent concept.…”

Section: Relationalist and Substantivalist Approaches To Spacementioning

confidence: 99%

Development of the Concept of Space up to Newton

Capecchi

2022

Encyclopedia

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The concept of space, ubiquitous among all humans from birth, has changed profoundly in the course of the history of Western civilization, the only one to be considered here. An important contribution to this change was the theoretical elaborations of the philosophers of nature and mathematicians, started in Ancient Greece. Here, the process is considered up to Newton, when the concept of space for physicists, who then replaced the traditional philosophers of nature, took on a connotation that remained substantially undisputed for two centuries—that of absolute space.

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Section: Relationalist and Substantivalist Approaches To Spacementioning

confidence: 99%