Even assuming that life started, evolution has not explained or demonstrated how new genetic information arises.
It's easy for anyone with even a rudimentary understanding of math to comprehend.
Claude Shannon, when he developed the theory of information, first applied it to biology. And it's pretty simple. You see, the information in a message (some kind of coding) is merely a measure of one's uncertainty about what's in it before decoding it. If you get an email, and you already know precisely what's in it, the information in that email is zero. On the other hand, if you don't know what's in it, it does have information for you.
So let's look at a simple case. Suppose that in a population, there are two alleles for a particular gene, each with a frequency of 0.5. Half of all members have one allele, and half have the other. (an allele is a particular version of a gene)
The information for that gene is then:
Where x is the frequency of each allele. So in the above case information is roughly 3.0. You get this by multiplying the frequency of each allele by the log of the frequency of each allele, and then adding them all up.
Now suppose there's a new mutation, which eventually results in each of three alleles having a frequency of 0.333... (one-third).
Now, the information for that gene is about 0.48. So, as you see, new mutations are the most common way for information to increase in a population of organisms. You might be skeptical about Shannon's theory. But the same theory is used by NASA to determine how to get very accurate information from spacecraft millions of kilometers away, using very weakly-powered transmitters. So we know it works.
I also pointed out that “natural selection” can not account for the complexity of the diverse creatures on this planet.
It requires mutation and natural selection. That was Darwin's great discovery.