Biology has no intended end-design is a math assumption. How would you prove that? Statistical models, which are very common to biology, use a black box with random assumptions, which, by default, can have no intended end designs. It like assuming infinite lives in video games, and than building that into the game, so it become part of the game reality. If you assumed an end design, you could not use statistics. You would need to stick to logic, since dice and cards would not work as well as it does for no intended end design.
Statistical modeling is a tool and it makes no sense to mold reality, to the needs of the tool. It would be like having a small hammer and then building with soft wood, so the hammer works better. Or we can evolve the hammer, with logic, so we can use hard woods.
I work under the assumption of a logical evolution, which has milestones and goals. The single cell was a milestone as was multicellular. You cannot use random assumptions to get there and stay there. Entropy appears to have quantum states, which for life are called species. The most likely variable I found, was entropy, since entropy is a law of science; better than theory, and it has to increase. Entropy has an unusual sense of direction to the future; increases and gets more complex. Energy wants to lower. Dice and cards want to repeat over time, which is not observed in evolution. We do not see new life appear from scratch; throw another one, or see dinosaurs appearing again, like another two, etc. repeating previous steps like throwing dice or flipping cards.
Entropy is what is called a state variable, meaning any given state of matter, has a fixed measurable entropy value. Entropy is not a theory but a measurable value; law. Evolution would come down to its many parts and its wholes increasing their entropy value over time. Below is a table of common entropy values. Each value is like a finger print of given states, even atoms. It can finger print life states since we are made of matter.
A cell ls like an integrated state, similar to all the integrated atoms of a molecule, albeit far more complex. Water as a liquid has a value of 70, while water as a gas has a higher value at 188.8. Like humans and apes, gas and liquid water have many similarities, but define different states with different properties, with humans a higher state like water vapor is to liquid water. This is like evolution. We can share common DNA, but human are a higher entropy state, driven to that state, by the 2nd law.
An interesting one is diamond. Notice diamond on the upper right has the lowest value in the table. This low value or fingerprint is because diamond is a very simple 3-D repeating matrix of carbon atoms bonded to four other carbon atoms that forms a single giant molecule. Its beauty is in its simplicity; very low entropy.
But the second laws says, entropy has to increase, even for diamond. Humans are attracted to diamonds. We help the 2nd law by adding entropy or complexity to diamonds, by forming them into intricate shapes. Even consciousness is driven by entropy, and helps to add complexity to nature and the universe. Entropy is that call of the wild to increase; internal selection process along with external selection.