Except that the universe is not infinite in time and billions of years is not a *brief moment*. Besides, the level of complexity of information carrying DNA is not just a little bit of order.
And under any circumstances, simply pouring energy into a system, open or closed, is not going to cause a decrease in entropy unless work is being done on the system. Name the source of the work.
For the level of complexity and order to have existed for so long, there must be some kind of work being done in the system, which uses energy. The kinds of spontaneous appearances of order in an random system that are likely to appear are not likely to be so complex.
Good points.
==And under any circumstances, simply pouring energy into a system, open or closed, is not going to cause a decrease in entropy unless work is being done on the system. Name the source of the work.
In fact, the ONLY known, empirical, reproducible cause for harnessing the sun’s energy to produce work is intelligent design!
Neither the universe, nor the earth, nor any appreciable part of the natural world, is a "random system". They are systems of law: the laws of nature. Furthermore, since the laws of nature are a single system, and ultimately connect everything -- connect all systems -- spontaneously arising order in one system, or one part of a system, can, and often does, generate order, and/or increase complexity, in other parts of the system.
Once you look around a bit it's a fairly obvious characteristic of such a system, of this world, that "spontaneous appearances of order" often start simple and then, because of these connections, get more complex, even before getting to biology.
For example convection cells spontaneously appear in a system where heat is unevenly distributed, not because anyone makes or designs them, but simply as a result of the laws of physics. Consider all that comes from that in the case of our own earth:
Assume that this planet did indeed begin as a simple molten mass. A big, hot ball will cool. But the laws of physics don't allow it to cool evenly. Heat escapes from the outside, so the outside cools more quickly while the inside remains hotter. In consequence convection cells form in the earth's interior. Because the molten material in the earth contains lots of iron, that orderly movement creates a magnetic field. That magnetic field creates a barrier around the earth which deflects the most energetic and destructive particles from the sun. This allows the earth to develop and maintain a complex atmosphere. That allows complex and orderly systems like weather to develop.
The magnetic shield also allows chemical compounds to exist on the earth's surface which would otherwise be destroyed by the energy from the solar wind. It creates complex (and beautiful) phenomena like the Northern Lights.
The convection currents in the earth's interior also move the earth's crust, driving continental drift, in consequence causing mountains and continents to rise.
All this, and much more, from the simple cooling of a big, hot ball.
“And under any circumstances, simply pouring energy into a system, open or closed, is not going to cause a decrease in entropy unless work is being done on the system.”
Just about anywhere on earth pouring energy in decreases entropy. It’s called “springtime”.
Evolution could be described as the competition for available energy to do exactly that - decrease entropy.
Show me the math.
And under any circumstances, simply pouring energy into a system, open or closed, is not going to cause a decrease in entropy unless work is being done on the system.
You have stated a logical paradox than cannot be addressed with math. If energy and matter cannot be created or destroyed and the "system" you are referring to is an infinite universe all existing energy is already present. Addition is impossible.
For the level of complexity and order to have existed for so long, there must be some kind of work being done in the system, which uses energy.
We are not in disagreement on this, there was a Creator and an Intelligent Design. I only take the position that, through math and science, God is revealing the processes He used.