Psammitēs

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Psammitēs is the ancient Greek title of Archimedes’ treatise commonly known in English as "The Sand Reckoner," in which he develops a system for expressing extremely large numbers to estimate the quantity of sand that could fit in the universe.

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Statements (42)

Predicate Object
instanceOf ancient Greek work
mathematical treatise
work by Archimedes
addressedTo a Hellenistic ruler named Gelon
aimsToShow that the number of grains of sand needed to fill the universe is finite and expressible
alsoKnownAs Archimedes’ Sand Reckoner NERFINISHED
associatedWith Syracuse NERFINISHED
author Archimedes NERFINISHED
contains estimates of the size of the Earth
estimates of the size of the Sun
estimates of the size of the universe
dedicatesTo King Gelon II of Syracuse NERFINISHED
demonstrates use of a systematic notation for numbers far beyond everyday magnitudes
develops system for expressing very large integers
explains a method to name numbers up to 10^8 raised to the 10^8 power
field astronomy
mathematics
focusesOn estimation of the number of grains of sand in the universe
representation of extremely large numbers
genre mathematical astronomy
hasForm letter
historicalSignificance early explicit treatment of extremely large finite numbers
influencedField history of mathematics
theory of large numbers
language Ancient Greek
mainSubject astronomy
cosmology
large numbers
number notation
period Hellenistic period NERFINISHED
preservedIn medieval manuscript tradition
relatedWork Measurement of a Circle NERFINISHED
On the Sphere and Cylinder NERFINISHED
studiedIn classics
history of science
philosophy of mathematics
timeOfComposition 3rd century BCE
titleInGreek Ψαμμίτης NERFINISHED
translatedTitle The Sand Reckoner NERFINISHED
uses place-value style number system
powers of 10^8
workOf Archimedes of Syracuse NERFINISHED

Referenced by (1)

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

The Sand Reckoner alsoKnownAs Psammitēs