The Number Ten Reconsidered: Did the Pythagoreans Have an Account of the Dekad?
Abstract
We critically reconsider an old hypothesis of the role of the dekad in Pythagorean philosophy. Unlike Zhmud, we claim that: 1) the dekad did play a role in Philolaus' astronomical system, and 2) Aristotle did not project Plato's theory of the ten eidetic numbers onto the Pythagoreans. We claim that the dekad, as the should be understood in Philolaus' philosophy as completeness and the basis of counting in Greek - as in most other languages - in a decimal system. Additionally, we argue that the number ten is not even a candidate for the in Plato's philosophy. As a final result of our discussion, we compare and contrast Philolaus', Plato's, and Speusippus' accounts of completeness in relation to numbers.
Keywords:
Plato / Philolaus / dekad / counter-earth / AristotleSource:
Rhizomata-A Journal for Ancient Philosophy and Science, 2020, 8, 1, 37-58Publisher:
- Walter de Gruyter Gmbh, Berlin
DOI: 10.1515/rhiz-2020-0001
ISSN: 2196-5102
WoS: 000594470300002
Scopus: 2-s2.0-85097311689
Institution/Community
Filozofija / PhilosophyTY - JOUR AU - Deretić, Irina AU - Knežević, Višnja PY - 2020 UR - http://reff.f.bg.ac.rs/handle/123456789/3099 AB - We critically reconsider an old hypothesis of the role of the dekad in Pythagorean philosophy. Unlike Zhmud, we claim that: 1) the dekad did play a role in Philolaus' astronomical system, and 2) Aristotle did not project Plato's theory of the ten eidetic numbers onto the Pythagoreans. We claim that the dekad, as the should be understood in Philolaus' philosophy as completeness and the basis of counting in Greek - as in most other languages - in a decimal system. Additionally, we argue that the number ten is not even a candidate for the in Plato's philosophy. As a final result of our discussion, we compare and contrast Philolaus', Plato's, and Speusippus' accounts of completeness in relation to numbers. PB - Walter de Gruyter Gmbh, Berlin T2 - Rhizomata-A Journal for Ancient Philosophy and Science T1 - The Number Ten Reconsidered: Did the Pythagoreans Have an Account of the Dekad? EP - 58 IS - 1 SP - 37 VL - 8 DO - 10.1515/rhiz-2020-0001 ER -
@article{ author = "Deretić, Irina and Knežević, Višnja", year = "2020", abstract = "We critically reconsider an old hypothesis of the role of the dekad in Pythagorean philosophy. Unlike Zhmud, we claim that: 1) the dekad did play a role in Philolaus' astronomical system, and 2) Aristotle did not project Plato's theory of the ten eidetic numbers onto the Pythagoreans. We claim that the dekad, as the should be understood in Philolaus' philosophy as completeness and the basis of counting in Greek - as in most other languages - in a decimal system. Additionally, we argue that the number ten is not even a candidate for the in Plato's philosophy. As a final result of our discussion, we compare and contrast Philolaus', Plato's, and Speusippus' accounts of completeness in relation to numbers.", publisher = "Walter de Gruyter Gmbh, Berlin", journal = "Rhizomata-A Journal for Ancient Philosophy and Science", title = "The Number Ten Reconsidered: Did the Pythagoreans Have an Account of the Dekad?", pages = "58-37", number = "1", volume = "8", doi = "10.1515/rhiz-2020-0001" }
Deretić, I.,& Knežević, V.. (2020). The Number Ten Reconsidered: Did the Pythagoreans Have an Account of the Dekad?. in Rhizomata-A Journal for Ancient Philosophy and Science Walter de Gruyter Gmbh, Berlin., 8(1), 37-58. https://doi.org/10.1515/rhiz-2020-0001
Deretić I, Knežević V. The Number Ten Reconsidered: Did the Pythagoreans Have an Account of the Dekad?. in Rhizomata-A Journal for Ancient Philosophy and Science. 2020;8(1):37-58. doi:10.1515/rhiz-2020-0001 .
Deretić, Irina, Knežević, Višnja, "The Number Ten Reconsidered: Did the Pythagoreans Have an Account of the Dekad?" in Rhizomata-A Journal for Ancient Philosophy and Science, 8, no. 1 (2020):37-58, https://doi.org/10.1515/rhiz-2020-0001 . .