What is the name of this theological problem? I have formulated a theological problem, and I would like to research different answers people have for it. This process would be a lot easier if I had a solid starting point. I am wondering if there is a formalized name for this question (ex. some subcategory in theodicy), or a similar question. Or if not that, then possibly the names of some books or papers that discuss it. 

Here is the problem, as I have structured it:


  
  God made humans. (Genesis 1:27)
  God knows the future. (Isaiah 46:10)
  If we don’t follow God, we will go to hell. (Revelation 21:8)
  Many people do not follow God. (Matthew 7:13-14)
  It is better to have not been born than to go to hell. (Mark 14:21)
  God is good. (Psalm 107:1)
  
  
  Therefore God made humans knowing that most of them would go to hell (a place that it would be better to have not been born than to end up in).
  
  Would it not have been better to not have been created?


Note: I have structured it like a very informal logic proof, as that is what I am most familiar with.
The problem is known as "theodicy".  

Actually, this is just one portion of the problem of theodicy, but it's part of the "How can a good God permit evil?" question.  "How God could create beings that will go to Hell" is subset of the problem of theodicy.

This is one of the most commonly covered questions in the field of Apologetics.  A Bing/Google/(Choose your search engine) search for "Apologetic Theodicy" should get you any number of possible answers to that question.  Of course, which makes sense to you, personally, is hard to predict. there are differing approaches to the issue based on your belief in things like free will, where god's sovereignty and man's ability to chose begins and ends, etc.