I'll do a little play on words here. Are you saying that biology isn't logical? Does it defy the laws of the universe, physics, and the axioms in math? Certainly not. I think what you are saying is that it isn't the same as a silicon chip and follows different rules. We just don't know enough about biology to peel away the layers, but there are definitely layers. There has to be at least a one-to-one mapping between the genome and a live being, but I would bet that the layers are far more complicated.
I read a study a while back which monitors the different areas developed inside a mouse's brain. The study concluded that a certain part of the brain gets more developed as the mouse tries to run threw a maze vs a mouse that does nothing at all. I gather that the study is trying to point out which area of the brain is responsible for memory, and perhaps certain type of memory.
I fail to see how this study could tell us something meaningful regarding our ability to take information from our senses and store it into our memory. How could we understand more about how this process works? Are we that far away from understanding the inner workings of the brain that we need to do studies like this? If so, then I tend to believe that we are far from the singularity.
"My larger point is that lots of biological science is a collection of edge cases. We know so little about the systems we're studying and have such crude tools to investigate them, that we get blindsided by things sitting in plain sight all the time."
I understand. From my previous example, I would probably come up with edge cases too if I was trying to look at binary code for the first time and trying to figure out how a complex computer system works. Perhaps I would poke the system and monitor which part of the file ended up with more 1's and 0's.