Etymology
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sieve (n.)

"instrument for separating the finer from the coarser parts of disintegrated matter by shaking it so as to force the former through meshes too small for the latter to pass," Old English sife, from Proto-Germanic *sib (source also of Middle Dutch seve, Dutch zeef, Old High German sib, German Sieb), from PIE *seib- "to pour out, sieve, drip, trickle" (see soap (n.)). Related to sift. The Sieve of Eratosthenes (1803) is a contrivance for finding prime numbers. Sieve and shears formerly were used in divination.

sieve (v.)

late 15c., from sieve (n.). Related: Sieved; sieving.

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Definitions of sieve
1
sieve (v.)
examine in order to test suitability;
Synonyms: screen / screen out / sort
sieve (v.)
check and sort carefully;
Synonyms: sift
sieve (v.)
separate by passing through a sieve or other straining device to separate out coarser elements;
Synonyms: sift / strain
sieve (v.)
distinguish and separate out;
Synonyms: sift
2
sieve (n.)
a strainer for separating lumps from powdered material or grading particles;
Synonyms: screen
From wordnet.princeton.edu