# Archimedean

- (mathematical) A number series is Archimedean if:(∀
*x*)(∀*y*)(∃n)(0 <*x*<*y*→*y*< n*x*) Well-behaved numbers are Archimedean: take any two numbers, however far apart they are, then there is some number that you can multiply the smaller by to give a result greater than the larger. Non-standard analysis introduces infinitesimals of which this is not true.

*Philosophy dictionary.
Academic.
2011.*

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**Archimedean**— means of or pertaining to or named in honor of the Greek mathematician Archimedes. These are most commonly:* Archimedean property * Archimedean absolute value * Archimedean solid * Archimedean point * Archimedean tiling * Archimedean spiral *… … Wikipedia**Archimedean**— Ar chi*me*de an, a. [L. Archimedeus.] Of or pertaining to Archimedes, a celebrated Greek philosopher; constructed on the principle of Archimedes screw; as, Archimedean drill, propeller, etc. [1913 Webster] {Archimedean screw}, or {Archimedes… … The Collaborative International Dictionary of English**archimedean**— adj. of or associated with the Greek mathematician Archimedes (d. 212 BC). Phrases and idioms: Archimedean screw a device of ancient origin for raising water by means of a spiral tube … Useful english dictionary**Archimedean**— adjective see Archimedes … New Collegiate Dictionary**Archimedean**— /ahr keuh mee dee euhn, mi dee euhn/, adj. 1. of, pertaining to, or discovered by Archimedes. 2. Math. of or pertaining to any ordered field, as the field of real numbers, having the property that for any two unequal positive elements there is an … Universalium**Archimedean**— adjective Of or pertaining to Archimedes … Wiktionary**archimedean**— adj. of or developed by Archimedes (Greek mathematician) … English contemporary dictionary**Archimedean**— [ˌα:kɪ mi:dɪən] adjective relating to the Greek mathematician Archimedes (c.287–212 BC) … English new terms dictionary**archimedean**— ar·chi·me·de·an … English syllables**Archimedean**— /akəˈmidiən/ (say ahkuh meedeeuhn) adjective of or relating to Archimedes … Australian English dictionary