Three Body Problem
I think the 3 body problem of physics explains very well the limits of science, logic, reasoning: this problem cannot be solved because given 3 bodies of the same size and same distance between each other, the evolution of the paths of the bodies in space cannot in no way be predicted because A influences - interacts with B which influences C which then goes back to influence A, but the order of influences can also start from B influencing C and then A, etc. So it is essentially intractable, any slight modification of distance or size, any slight inequality of the bodies can be amplified, any slight change in initial conditions will bring out a completely different outcome.
In practice, simplifying assumptions are made, 1 body larger than another, etc. So some kinds of solutions can be found and used, but the general problem, which is present in nature from the quarks up, to electrons, to planets, to galaxies etc. is without solution.
So this is the end of line of reasoning, of trying to find a pattern or logic or model to reality: past a certain point, no logic or reasoning or model can be used any more, this is the end of science. Now, this general situation can be also found in many other situations, think of the tens of chemical reactions occurring simultaneously in just 1 cell of the body, think of the molecules, each made up of tens of atoms, all interacting, etc. Think of large scale theories like Economy or Sociology or Psychology, even more complex and difficult, sometimes it is just an act of faith to believe that any models or logic can really apply. They do sometimes, more or less, but we are always approximating.
In Economics, you have millions of people interacting, so any model, no matter how thought out or perfect it is, has to deal with just that one person - actor deciding to do something you wouldn't expect, something you would have never imagined to break down the entire construction. And you will always find just that one point event that demolishes any possible model. And then each person is a kind of creator of cause and effect on the fly, each person can associate anything with anything else and connect them and create this temporary cause and effect: example, person A sees a random car, instantaneously he likes it, decides to buy it right out of the blue, very possible, or decides, to ask for a color that takes a long time to get, the arbitrary cause and effect created in his mind, creates a long sequence of other interactions that all depend on a pure whim and quirk. Now, good luck trying to model any theory of "Economy". Even worse so with Sociology or Psychology.
Anyways, many try to understand the "Stock Market": this is very easy to understand, it will always go up no matter what, it will play a dog and pony show pretending that it goes down every now and then, just to give the impression that it is a real entity, and not a completely fake, man made entity that is piloted by a subtle and invisible intentionality to always make it go up because SO MANY RETURN ON INVESTMENTS ARE TIED TO THE STOCK MARKET GOING UP THAT THEY WILL MAKE IT GO UP NO MATTER WHAT AND NO MATTER WHAT EXCUSE THEY CAN FIND (like first-time unemployment benefits going down last week, etc.).
This dog and pony show also reminds me of how corporations have to play this show of hiring and firing to make believe that they are fighting a real "economic war" of competition, that all the hires and fires are all so important and necessary: nothing further from the truth, it is all a make believe show that wants to convince people that the invisible hand of the market is doing it, while in all truth, it is the very precise and visible intentionality of the capitalists to pretend that all the hiring and firing is somehow "natural". They hire a few thousands of people, wait some time, a few months, maybe 2 or 3 years, and then fire again because "there is a slowdown" - recession, then go figure and really control if it is all true, when 80 % of the jobs are services which means abstract, unknown, has nothing to do with cause and effect and production and sales, etc.
Same with Portugal and Greece "failing": this too is just one giant show, they will never fail, it is all a make believe and pretend we live in such a logical "market economy", this is false:
WE LIVE IN TOTALLY FAKE, MAN MADE ECONOMIES AND RULES, THAT ARE TAKING EVERYONE FOR A RIDE, MAKING BELIEVE THAT THERE ARE ALL OF THESE NECESSITIES, ALL OF THESE LOGICAL MODELS AND CAUSES AND EFFECTS. NOTHING FURTHER FROM THE TRUTH, THEY ARE ALL MAKE BELIEVE EVENTS THAT SERVE TO MAKE A FEW GAIN A LOT OF MONEY BY ROBBING FROM THE MANY.
It is all fake, make believe, false, a pure invention everyone thinks is real. Stock market, unemployment, market economy, etc. The end point, really basis of all is simply a fight, fights between people, power struggles, that try to hide themselves behind all the smoke and mirrors of economic theories, that, THE FIGHT is the only thing that is real.