  We present what we call a "motivated proof" of the
G\"{o}llnitz-Gordon-Andrews identities. A similar motivated proof of the
Rogers-Ramanujan identities was previously given by G. E. Andrews and R. J.
Baxter, and was subsequently generalized to Gordon's identities by J. Lepowsky
and M. Zhu. We anticipate that the present proof of the
G\"{o}llnitz-Gordon-Andrews identities will illuminate certain twisted
vertex-algebraic constructions.

Combinatorics;Number Theory;Quantum Algebra