A reference to perfect numbers in Plato's Theaetetus

DOI10.1007/s00407-004-0094-5zbMath1066.01012OpenAlexW2043432693MaRDI QIDQ1781897

Fabio Acerbi

Publication date: 9 June 2005

Published in: Archive for History of Exact Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00407-004-0094-5

zbMATH Keywords

perfect numbersGreek arithmeticPlato's Theaetetus

Mathematics Subject Classification ID

Philosophy of mathematics (00A30) History of number theory (11-03) History of Greek and Roman mathematics (01A20)

Cites Work

• Dýnamis, the Babylonians, and Theaetetus 147c7-148d7
• Techniques of fractions in ancient Egypt and Greece
• On the shoulders of Hipparchus. A reappraisal of ancient Greek combinatorics
• Conceptual divergence -- canons and taboos -- and critique: reflections on explanatory categories
• Arithmêtikê stoicheiôsis: On Diophantus and Hero of Alexandria
• The discovery of the regular solids
• On Parts of Parts and Ascending Continued Fractions An Investigation of the Origins and Spread of a Peculiar System
• Perfect Numbers A Mathematical Pun? An Analysis of the Last Theorem in the Ninth Book of Euclid's Elements
• The Philosophical Sense of Theaetetus' Mathematics
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