either Look up either at Dictionary.com
O.E. ægðer, contraction of æghwæðer "each of two, both," from a "always" (see aye (2)) + ge- collective prefix + hwæðer "which of two, whether" (see whether). Cognate with Du. ieder, O.H.G. eogiwedar, Ger. jeder "either, each, every"). Modern sense of "one or the other of two" is late 13c. Use of either-or to suggest an unavoidable choice between alternatives (1931) in some cases reflects Dan. enten-eller, title of an 1843 book by Kierkegaard.
neither Look up neither at Dictionary.com
O.E. nawþer, contraction of nahwæþer, lit. "not of two," from na "no" (see no) + hwæþer "which of two" (see whether). Spelling alt. c.1200 by association with either.