It's the "would not" that means to refuse. Although the word "not" is not there, it's a negatively cast sentence. He would admit nothing = He wouldn't admit anything = He refused to admit anything.
New words, one handy idiom, and a 2-minute quiz — delivered to your inbox to keep your streak alive.
AnonymousCould it also mean 'was going to admit'?Yes. but you'd probably need to add wording to make that usage clear: