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Archimedean property
Sign in to savethe absence of infinitesimals in a mathematical system
Wikidata facts
- Instance of
- axiom
- Subclass of
- property
- Named after
- Archimedes
Show 5 more facts
- Commons category
- Archimedean property
- named by
- Otto Stolz
- discoverer or inventor
- Eudoxus of Cnidus
- studied by
- foundations of mathematics
- maintained by WikiProject
- WikiProject Mathematics
Sources (1)
via Wikidata · CC0
~15 min read
Encyclopedic overview
Illustration of the Archimedean property. In abstract algebra and analysis, the Archimedean property, named after the ancient Greek mathematician Archimedes of Syracuse, is a property held by some algebraic structures, such as ordered or normed groups, and fields. The property, as typically construed, states that given two positive numbers
x
Excerpted from Wikipedia’s “Archimedean property” article, available under the CC BY-SA 4.0 licence.