Let’s look at the logic, in detail.
If there is a God, then He would have made the world without pain and suffering.
If there is a God, then there is no suffering. (Simplify; if p then not q)
There is suffering. (q)
There is no God. (p)
This is perfectly valid reasoning. But it has assumptions tied to it. The conditional statement (if p then q) is an assumption, which must be justified before the inference stands.
Any vague terms in the conditional must be clarified.
“God”, as some atheistic posters around here commonly point out,
is a vague term. In assuming God, what are we assuming? At least three things: 1) An omnipotent, omniscient being, 2) A being who created everything except Himself, and 3) A being that is entirely good (omnibenevolent).
Let’s just consider #3. If God is not good, then we can immediately scrap the above syllogism, because a imperfectly good God would not necessarily create a world with no suffering.
But there is a further important consideration.
The word “good” is also a vague term. At one point in my life, I may believe that the death penalty is good; at another, that it is evil.
My ideas about what is good refer to nothing else in the world but my ideas about good. Christians believe that there is an objective good, aside from our ideas about it. But we cannot even refer to this objective good with perfect accuracy, because our word “good” is always bound up in our own limited perspective on the matter.
In other words, we do not know what the word “good” in the expression “God is good” means. There are at least embedded premises (EP) in the original argument.
God is good. (EP #1)
Our ideas of “good” are in accordance with the objective nature of “good” (EP #2)
If God exists, then there is no suffering.
There is suffering.
There is no God.
Given the metaphysical assumptions of most atheists, EP #2 is incoherent and unnecessary, because there is no objective nature of good. But theists will not agree to these assumptions, and atheists cannot prove them true. Therefore, the argument – formally, at least – is riddled with ambiguity and inconclusive.
Oh, and yes, I know my answer is more complicated than yours, wanstronian. But, to quote Oscar Wilde, “The truth is rarely pure and never simple.” And, as we all know, Wilde was never wrong.