Multiplexing (utilization of the same microcircuitry for different computational tasks) has been proposed as one of the properties of the nervous system.
It does make sense from an evolutionary standpoint, since it increases the efficiency and speed of the system (which can certainly use some help whenever it attempts to solve real world problems using deterministic approaches, and inevitably chokes with immense numbers).
Considering this, along with the fact that the production of language acts like the vehicle for sequentially increasing levels of abstraction, the existence of homomorphism is a highly likely (although not necessary) consequence. In a clinical setting, likely beyond a reasonable limit (let’s say 0.9999) is good enough for me.
So, mapping different layers of homomorphism (as some sort of metacognition) is probably another important cognitive activity in itself. That is the realm of ‘free association’, dreams and all sorts of art. Maybe that is what the frontal lobe does frantically during those precious REM sleep minutes. Maybe survival depends on it. Establishing a strong connection between the physical world and this metacognitive world should be the most important goal for humankind as a species. Considering that living systems are operationally closed (and have no way to distinguish between the inside and the outside), studying organization in general is equivalent to studying ourselves. Let’s do that.
The Brain Shop 