Linus Pauling (the Linus Pauling) had a moment in his life when he became obsessed with the idea that antioxidants would make us all live forever.
It's also worth noting that anaerobic organisms are a thing, and they die too. Yes, cells suffer with oxidation and this is indeed related to aging, but if you remove all oxygen from the equation, any replication of genetic material will still slowly age and eventually kill you.
the daily intake of natural antioxidant sources is very important in the prevention of oxidative stress, since it has many positive effects on our health.