Is nihilism the logical extreme of atheism?

[Mudhammam]

How do these two sentiments not contradict?

I think it's possible to give value to yourself without their being value

but it's illogical to give yourself value while not believing there is objective value. Why you chose to live and what you want to do in your life can be chosen by us freely sure...but I don't think you can believe something is morally wrong without believing it's objectively wrong to do so. You can't also give value to life without believing objectively there is value to life.

Why must objective morality or value depend on the imposition of an outside being rather than one's self that exists, relatively briefly, in an objective material world?