Some people make the following argument:
1. God is defined as all- powerful, knowing, and good
2. A good being would prevent suffering
3. An all knowing being should come up with a good solution
4. An all powerful being should be able to do anything
5. There is evil and suffering in the world
6. God would prevent evil and suffering
7. Thus, God does not exist
I agree with 1, 3, 4, 5. I strongly disagree with 7. So where is the fallacy?
2 presents real issues for Christianity. Why doesn't god prevent suffering? Similarly, 6, why doesn't God prevent evil? Or be more active healing people?
There is actually a website dedicated to this question. The comments provide a summary of the video presentation.
There is a whole field of theology dedicated to this, known as theodicy.
The main fallacy of this argument is in 2. Yes, suffering is bad, but can good come of it? What is the price of a world without suffering?
I'm not going to deal much with good coming from suffering. Some people, when suffering, turn to God. That is good. But I don't want to say the ends justify the means, because they don't.
What is the price of a world without suffering?
Pain tells us there is something wrong. So too does the suffering in the world. The world was good when God created it, when He was an active part of it. That is not how the world is now. Our ancestors (Adam and Eve) chose to run the world without God. Ever since then God has been separated from the world, and there has been evil, suffering, and death.
So why not create Adam and Eve incapable of sin (not choosing God)? There is an issue of free will. If you are not free to not choose God, there is no meaning in choosing God. Also, without sin, God cannot demonstrate grace, mercy, and justice.
Like it or not, God created the universe to demonstrate His qualities.