Theoretical fantasies of evolutionary systems may entertain our minds a lot and this task is a formal version of SciFi. By formal, I mean I plan to develop the the formal and mathematical theories of such fantastical but existable evolutionary systems. The task is intellectually and scientifically enormous and challenging. It is diverse and enlightening. This is because we desire to explore the whole set of evolutionary systems. However, in addition to fantasies of the non-existant but existable evolvers, exploring unrealistic systems may clarify the behavior of general principles which behave differently when integrated with the unrealistic principles to generate the impossible unimaginable fantasies. The construction of systems space with delimitations among existable or realistic systems and unexistable ones, and among themselves is a huge task. While we may go constructively and axiomatizably with varied stress on each, both seem to require finding and combining semantic atoms in all ways.
We need to-
Define and find critical and main sub-spaces of the ‘initial’ and axiomatized and constructed to exist system space,
The Details of the diversity and behavior of the space as evolved from the initial original state,
Locate Maxima, Minima and Trends with their explanations.
We may have to go overboard and use illogical unrealistic logical systems to reason about such unrealistic-realistic system space.We must recognise that we are trying to deal with possible unrealistic-illogical systems too, so their theory would model their possibly strange or exotic logic. However, it might be more satisfying to find more realistic and optimal fantastical systems than unrealistic ones. The exploration of the whole system space is still possibly an enlightening task.
Interestingly, we have a huge database of semantic atoms and semantic pointers to choose from to create the system space- the entities from Math, Physics, Chemistry, Biology and the Arts that nearly include everything possible in our and similar worlds. We may be able to distil trans-universe generalities from ours too. The question is how unusual, frequent, and intense is the Maxima of the whole space.
I shall be using Isabelle/Pure for the formalizations and possibly compute with R and Scilab and hope that this is a rewarding and enjoyable journey for us!
Do get in touch if you have any suggestions.
Thanks & Stay Tuned!