The detection of the Cosmic Thermal Neutrino Background (CTNB) would p
rovide the ''cleanest'' evidence for the hot big bang model of the ear
ly Universe. I discuss some recent thoughts on the possibility of dete
cting the CTNB (especially if neutrinos have a small mass of similar t
o few eV) by looking for certain CTNB-induced features in the extremel
y high energy (E greater than or similar to 10(20) eV) cosmic neutrino
spectrum that may become measurable in the future by some of the larg
e-area extensive air-shower detectors being built for detecting extrem
ely high energy cosmic rays.