There are always patterns Jimmy. When you look at the natural universe, Nature - the Patternmaster(term borrowed form the late-great author Octavia Butler - Brilliant) - is prolific with its cyclical musings. We are slave to these cycles, these patterns too. For example: Bio-rhythms entrained by the Patternmaster through millennia through ancestral DNA and then to you and me. You know that. The problem is in being able to at first see these patterns, decipher them, and then give them a language. We're just trying to codify observable phenomenon Jimmy.
Mr. Taleb also said that most of the economics metrics, models and theory used to analyze the economy, could not be used to predict the Black Swan drama. But a few did. He argues that these tools actually helped to further blind the actors in the drama Don't you think that all those tools or rather stats you have pulled to prove the fallibility of systems in the lottery may sometimes be a little blind, and too linear sometimes to hone in on the human mind's creatively dynamic and unmatched ability to see and oftentimes intuit observable phenomenon, and then give it a code like E=mc2 for example?
You think patterns don't exist in the lottery, because all you may see are balls. On these balls are numbers: 0,1,2,3,4,5,6,7,8,9. The Number 2 has a different quality than the number 5. Isn't that true? And the number 3 even different still. They each have a different vibration, different energy signature. Put them together as in the number 253, and you have something different altogether. Isn't $2, $3, or $5 different in meaning, and quality than $253. Or if your musically inclined the 2, 3 and 5 notes do not have the same quality sound, frequency or vibration that the 253 note has.
You posit the suggestion that if for example 253 were drawn, there is no way that it would know that 111 was dropped they day before, because balls or numbers are not conscious, So hence its dropping on any particular day is random. Is this correct?
Don't be fooled by the numbered balls in some plastic tube. They are not inert. Are you aware of the experiment with simple electrons that proved that two electrons were of aware of each other. Don't want to go into it, but if the two electron in that experiment were aware, a bunch of electrons in the form of numbered balls are aware on some level. So just as every sentient being has a level of awareness, we can say that particles like numbered balls also have a level of awareness. Again, not my opinion. Fact.
Apart from entropy, human events or rather any-sentient-being event can even have a measurable impact on machines like Random Number and Random Event Generators. Check out the experiment with the live baby rabbits and their literally Robotic Mother and how the Mother Robot repeatedly defied its random programming through test after test by drawing nearer to the rabbits way more than the statistical average would dictate than when the rabbits were not there. The book The Field will give you, among other things, the science behind these kinds of experiments.
Also Check out:
1. A Beginner's Guide to Constructing the Universe- Michael S. Schneider (great book- all about numbers and much more)
2.The Holographic Universe- Michael Talbot
3.The Field - Lynne McTaggart
4. Anything by Amit Goswami
When you look around don't you see how Nature uses numbers or rather math to create. It uses the same patterns and same math over and over again. And through the Law of Correspondence, and nature's all-encompassing beyond-quantum prowess, its even going to have an impact on something as "mundane" as numbered balls. Also everything is inter-dependent. So while 2, 3, 5, and 253 have their own vibration, we humans as conscious observers as also give it "breath" metaphorically speaking. .Its a co-creation. Our conscious observance is a catalyst in converting, for example, the potential of 253 being drawn into an actuality.. I don't know what that exact brew or alchemy is, but my job is to try and track the resulting phenomenon as best I can, and then codify it to some degree. Human history in every endeavor is replete with examples: Einstein, Morihei Ueshiba, Euler, J. Goodall, Dr. Henry Thomas Moray, Newton, Bohr, Mandlebrot, the ancient inventors of Vedic Mathematics, and etc...all did it in their respective fields, so can we, albeit way imperfectly, at least in the beginning. Then we improve.
I'll leave you with a quote from mathematician Schneider's Constructing the Universe:
Its a shame that children are exposed to numbers merely as quantities instead of qualities and characters with distinct personalities relating to each other in various patterns. If only they could see numbers and shapes as the ancient did, as symbols of principles available to teach us about the natural structure and processes of the universe and to give us perspective on human nature.