The premises of the Einstein-Podolsky-Rosen argument for their claim t
hat quantum mechanics is an incomplete theory are inconsistent when ap
plied to three-particle systems in entangled Greenberger-Horne-Zeiling
er states. However, thus far there is no experimental confirmation for
existence of such states. We propose a technique to obtain Greenberge
r-Horne-Zeilinger states which rests upon an observation that when a s
ingle particle from two independent entangled pairs is detected in a m
anner such that it is impossible to determine from which pair the sing
le came, the remaining three particles become entangled.