If you're wondering why Logic refers to himself as "Young Sinatra," I think the answer will become pretty clear when you see his picture. To boot, his music is pretty darn chill -- particularly the backing instrumentals on this track "We Get High."
But, the buck basically stops there. Play this for your grandmother, and there's no way in hell she'll draw a comparison to Old Blue Eyes. That's all good though -- I don't think it's specifically what he's after when he draws the comparison.