We present new Arecibo 21 cm line measurements of the temperatures of inter
stellar gas. Our temperatures for the cold neutral medium are significantly
lower than previous single-dish results and in very good accord with theor
etical models. For warm gas at T>500 K, we find a significant fraction of g
as (47%) to lie in the thermally unstable region 500 --> 5000 K; moreover,
about 60% of all the neutral atomic gas has T>500 K. Large amounts of therm
ally unstable gas are not allowed in theoretical models of the global inter
stellar medium.