despite anything to the contrary (usually preceding a concession)
"although I'm a little afraid, however I'd like to try it"
"while we disliked each other, nevertheless we agreed"
"he was a stern yet fair master"
"granted that it is dangerous, all the same I still want to go"
Nevertheless.
"The team lost the first game, nonetheless they continued to train hard for the championship."
From Middle English *non-the-les, variant of no-the-les, noþeles, naþelees, from Old English nān þȳ lǣs, nā þē lǣs, nā þȳ lǣs. By surface analysis, none + the + less.