I will share each of the six points. Following each point, I will give my opinion about why I think these are weak arguments. I'm not saying that my rebuttals will disprove God -- but these arguments are not strong enough to prove that God exists.
1. Our planet's complexity points to a deliberate Designer who not only created our universe, but sustains it today.
My rebuttal: Science shows us that at the very least the Biblical account of creation is a myth. Science proves the Earth is billions of years old, not just thousands or a few million per the Biblical account. If God did create us, he used evolution to do it.
But more importantly, the perceptions and assumptions we humans have concerning the "obvious" are often flawed in critical ways. We assume that everything with structure needs a builder because we must build and design. That assumption does not have to be true for our universe.
For example, observe the image to the right:
The two lines that run across the star burst pattern appear bent; however, they are parallel lines. If you could print out this image (or one similar) and check the lines with a ruler -- you would observe that they are indeed straight lines. Our perceptions can be fooled. We assume the lines are bowed at first glance. But upon further inspection, the lines are actually straight lines.
A complex universe and complex life doesn't mean a creator is necessary. Evolution is a complex process that took millions of years -- yet few people want to say that God created us this way.
2. The complexity of the human brain shows a higher intelligence behind it.
My rebuttal: This second point is really just restating of the first point. I will only add here that evolution shows us that our brains developed over a painstaking process over millions of years. Biologists have found caves where no sunlight reaches inside them. Therein, you can find a pond that has formed from a stream of water that flows inside. Fish swim around in the ponds. Since there is no light, these fish have no eyes! They only have nodes or bulbs that have formed. Biologists surmise that the ancestors of these fish had eyes. After millions of years of swimming in the dark, natural selection decided not to bother forming the eyes in these fish any longer.
Is that intelligent design?
3. Natural causes and chance are insufficient explanations for our existence.
My rebuttal: This third point is barely different from the first two points. Evolution, again, shows us that our course of development is left to a process of natural selection. Perhaps this isn't pure chance, but the survivors and offspring in any given species continues to thrive as long as they are well suited for the environment in which they live.4. The enormously vast number of people who are passionately convinced that there is a God must be ignored should you say God does not exist.
Also, scientists have found that when non-organic elements found in asteroids are mixed with non-organic compounds found in earth a chemical reaction happens and organic compounds are created. Just like taking oxygen and hydrogen and putting them together -- you get water. Or, just in the same way that you take sodium and chloride and form table salt. Asteroids pelted the earth during it's early formation. Life easily could have formed from this natural occurrence.
Besides, saying that God created everything is insufficient as well. We still have questions. Who made God? Saying that he always existed is no different from simply saying that the matter and material of this universe has always existed.
My rebuttal: Galileo Galilei had to ignore the enormously vast number of people who were passionately convinced that the earth was the center of the universe. Nuff said.
5. We know God exists because he pursues us. He is constantly initiating and seeking for us to come to him.
My rebuttal: You cannot say that this pursuit is true for everyone because you have not met everyone to ask them if God has sought him or her out. Besides, why is God so subtle if he is pursuing us?!?!?! Also, since so many people have a vast difference of opinion in who God really is, (because he's so subtle in his "pursuit") how can you say the same God is calling a Muslim to pray when at the same time he calls a Christian to prayer? Perhaps God only exists because we still have questions about ourselves. The more questions we answer with science, the less we need God and scripture to explain everything.
6. Unlike any other revelation of God, Jesus Christ is the clearest, most specific picture of God pursuing us.
The Pagan Origins of the Christian Myth
The Bible's Buried Secrets
The Hidden Book of the Bible
And that's just for starters . . .
I'm not declaring that I've disproved God's existence in my rebuttals. However, I am saying that the six arguments offered for God's existence are not sound and cannot prove his existence, either.