Homeomeric Lines in Greek Mathematics
Bibliographic Data
| ID | 4516182 |
|---|---|
| Authors | Fabio Acerbi (0000-0003-1909-1275, Centre National de la Recherche Scientifique, corresponding author) |
| Year | 2010 |
| Volume | 23 |
| Issue | 1 |
| Pages | 1-37 |
| Publication date | 2010-03-01 |
| Peer Reviewed | Yes |
| Open Access | Yes |
| Type | ARTICLE |
| Venue | Science in Context (JOURNAL) |
| Journal identifiers | ISSN: 0269-8897 • E-ISSN: 1474-0664 |
| Publisher | Cambridge University Press (CUP) (PUBLISHER) |
| DOI | 10.1017/s0269889709990226 |
| OpenAlex | W1989920611 |
| Language | EN |
| Citations received | 8 |
| References cited | 12 |
ArgumentThis article presents ancient documents on the subject of homeomeric lines. On the basis of such documents, the article reconstructs a definition of the notion as well as a proof of the result, which is left unproved in extant sources, that there are only three homeomeric lines: the straight line, the circumference, and the cylindrical helix. A point of particular historiographic interest is that homeomeric lines were the only class of lines defined directly as the extension of a mathematical property, a move that is unparalleled in Greek mathematics. The far-reaching connections between mathematical homeomery and key issues in the ancient cosmological debate are extensively discussed here. An analysis of its relevance as a foundational theme will be presented in a companion paper in a future issue of Science in Context
Archaeology · Epistemology · Extant taxon · Geometry · Political science · Programming language · Computer Science · Historical Astronomy and Related Studies · Historical, Religious, and Philosophical Studies · History · History and Theory of Mathematics · Law · Mathematics · Philosophy
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| Unique citing works | 8 |
|---|---|
| Citations per year | 0,5 |
| Citation span | 2010 - 2018 (9) |
| Citation velocity | historical |
| Highly cited | No |
| Citation types | Neutral: 6 |