Vladimir,
One cycle to keep in mind in these discussions and knowledge in general, is the relation of simplicity to complexity as a form of expansion/contraction cycle.
Especially in math, there is a natural tendency to treat complex forms as a sort of platonic reality that naturally pre-exists any physical manifestation, because they are, by definition, regular. The assumption being these patterns are inevitable, so their existence must be a deterministic given.
I would argue they are still ultimately bottom up. That no form pre-exists its physical manifestation and regularity is a consequence of the same processes yielding the same results.
Remember that factors are in essence nouns and functions are verbs. We do actually have to commit the act of adding one and one, in order to arrive at two as the answer. If the cause does not occur, there is no effect. In the void, there is no form.
The larger point being is that this flower of expanding mathematical complexity is just as natural and dynamic as an actual flower blooming and regular as a field of flowers, yet still not nearly as complex.
So when we get around to discussions of what is the best course to follow, everyone is naturally going to have their own perspective and lead off in a particular direction, which is good. Like ants exploring for food, our knowledge should go in all directions. Now the resulting complex of input will eventually contract. Either because some answer to the issue in question is found and then the group effort then becomes to expand from that new level of understanding, or no answer is found, the joint effort breaks down and everyone goes off in their own directions, scattered to other endeavors.
Either way, it is that cycle of expansion and then collapse, contraction, or consolidation, depending on the intentions and results.
Regards,
John M