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http://3.bp.blogspot.com/-YSVUDNoeNJQ/UbA5qYTWnJI/AAAAAAAADSM/x31HWOcnTNU/s1600/31060_original.jpg
So let's not delve into how and why that could be constructed right now. Important part is what it is - an extremely sturdy construction, actually the most sturdy type of wall that exists (apart from complete monolith). Thing is that every block in that kind of wall is unique in a way that it cannot be produced as a series, every single block has its own unique place and purpose and other block can't fit into that place or purpose. So that's the analogy I was pushing through.
About 'random' and 'abstract'
The way I see it - abstract reflects reflects a thought which purpose and origin are not yet understood or to some extent hidden. While random reflects a thought which purpose is only in being random, nothing else. And I seriously doubt that this view of random as a concept allows to name any thought as random. At least - that is what I immediately associate the meaning of the word 'random'. That maybe confusing, I need to work on that.
About origin of an actual solution.
Problems the way we as being see them - are manifestations of... how do I put it... details stuck inside the mechanism. If goal is indeed convergence, then solutions come from realizing how to approach that overarching goal. Even on minor scale - it unification which is the general idea of solving any problem. And of course at any point there is the most efficient solution given the amount of power in our possession. Oh, darn, this is too vague. I'll get back to you on this. Probably.