Psammites

E627476

Psammites is an ancient mathematical treatise by Archimedes in which he develops a system for expressing extremely large numbers to estimate the quantity of sand grains that could fit in the universe.

All labels observed (1)

Label Occurrences
Psammites canonical 2

How this entity was disambiguated

Statements (46)

Predicate Object
instanceOf mathematical treatise ⓘ
work by Archimedes ⓘ
addressedTo a ruler of Syracuse ⓘ
aimsToShow the power of mathematical reasoning to handle enormous quantities ⓘ
approximateDate 3rd century BCE ⓘ
assumes the Sun is much larger than the Earth ⓘ
the fixed stars lie on a sphere surrounding the Sun-centered system ⓘ
author Archimedes ⓘ
contains early use of a positional-like number system ⓘ
culturalContext ancient Greek mathematics ⓘ
dedicatedTo King Gelon II of Syracuse ⓘ
demonstrates that numbers larger than any previously named Greek numbers can be systematically expressed ⓘ
that the number of grains of sand needed to fill the universe is finite ⓘ
develops a system for expressing extremely large numbers ⓘ
field astronomy ⓘ
mathematics ⓘ
number theory ⓘ
focusesOn arithmetical reasoning rather than geometric diagrams ⓘ
genre scientific prose ⓘ
goal to estimate the number of grains of sand that could fit in the universe ⓘ
hasAlternativeName The Sand Reckoner of Archimedes ⓘ
linked to: The Sand Reckoner
hasEnglishTitle The Sand Reckoner ⓘ
hasForm letter-treatise ⓘ
hasGreekTitle Ψαμμίτης ⓘ
hasLatinTitle Psammites ⓘ
historicalPeriod Hellenistic period ⓘ
influenced later studies of large numbers ⓘ
introduces a method to name numbers far larger than those used in everyday Greek notation ⓘ
a system of orders of magnitude up to 10^8 per order ⓘ
mainSubject astronomical estimation ⓘ
number notation ⓘ
very large numbers ⓘ
modernTitle The Sand Reckoner ⓘ
placeOfOrigin Syracuse ⓘ
preservedIn medieval manuscript tradition ⓘ
relatedWork Measurement of a Circle ⓘ
On the Sphere and Cylinder ⓘ
topic orbital periods of celestial bodies ⓘ
size of the Earth ⓘ
size of the Moon ⓘ
size of the Sun ⓘ
size of the universe ⓘ
usesAssumptionFrom astronomical model of Aristarchus of Samos ⓘ
usesConcept orders and periods of numbers ⓘ
powers of ten ⓘ
writtenInLanguage Ancient Greek ⓘ

How these facts were elicited

Referenced by (2)

Full triples — surface form annotated when it differs from this entity's canonical label.

The Sand Reckoner → alsoKnownAs → Psammites ⓘ
Psammites → hasLatinTitle → Psammites ⓘ