A Quote by Jordan Ellenberg
This is a collaboration between a complex analyst, a dynamical system expert, and an arithmetical algebraic geometer. It sounds like a joke, a complex analyst, a dynamical system expert, and an arithmetical algebraic geometer walk into a bar.
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In a dynamical system, or a massively complex dynamical system such as we live in, when there is a moment of bifurcation, which is the technical mass jargon for “the snap”, that is the only time you get to do anything about the evolution of the system. So according to this self-inflating view, we live at an especially important special moment in history where when we think something or do something it has actually an enormous effect on the future. What we do has some influence on the creation of the future more than at other times in history.
[T]he democratic principle of "one man, one vote," viewed against a background of voting masses numbering several millions, only serves to demonstrate the pitiful helplessness of the inarticulate individual, who functions at the polls as the smallest indivisible arithmetical (and not always algebraic) unit. He acts in total anonymity, secrecy and legal irresponsibility.
Basically, for any complex to be sustainable needs to have a balance between two factors: resilience and efficiency. These two factors can be calculated from the structure of the network that is involved in a complex system. A resilient, efficient system needs to be diverse and interconnected. On the other hand, diversity and interconnectivity decrease efficiency. Therefore, the key is an appropriate balance between efficiency and resilience.
Analysts keep having to pick away at the scab that the patient tries to form between himself and the analyst to cover over his wounds. The analyst keeps the surface raw, so that the wound will heal properly.
Work/Loaf Ratio”...I have spent fourteen years perfecting... I won't bore you with a long-winded explanation of the “W/LR” save to say that it is an algebraic formula of such complex numeric subtlety that it can be understood only by mathematicians and hobos.
We are unconscious of most of our body's processes, thank goodness, because we'd screw it up if we weren't. The human body is so complex, with so many parts...a system which is far more complex than we can fully imagine. The idea that we are consciously care-taking such a large and mysterious system is ludicrous.
... the laws of physics and of logic ... the number system ... the principle of algebraic substitution. These are ghosts. We just believe in them so thoroughly they seem real.
My analyst warned me, but you were so beautiful I got another analyst.
The neurotic would like to trust his analyst - if only because he's paying him so much money. But he can't - because if the analyst really cared, he'd be doing it for nothing.
Today the network of relationships linking the human race to itself and to the rest of the biosphere is so complex that all aspects affect all others to an extraordinary degree. Someone should be studying the whole system, however crudely that has to be done, because no gluing together of partial studies of a complex nonlinear system can give a good idea of the behavior of the whole.
Down there between our legs, it's like an entertainment complex in the middle of a sewage system. Who designed that?
What I try to do in the book is to trace the chain of relationships running from elementary particles, fundamental building blocks of matter everywhere in the universe, such as quarks, all the way to complex entities, and in particular complex adaptive system like jaguars.
Be warned that being an expert is more than understanding how a system is supposed to work. Expertise is gained by investigating why a system doesn't work.
When we become expert in something, our tastes grow more esoteric and complex.
The mathematicians have been very much absorbed with finding the general solution of algebraic equations, and several of them have tried to prove the impossibility of it. However, if I am not mistaken, they have not as yet succeeded. I therefore dare hope that the mathematicians will receive this memoir with good will, for its purpose is to fill this gap in the theory of algebraic equations.
Modern dynamical systems theory has a relatively short history. It begins with Poincare (of course)... [to whom] a global understanding of the gross behavior of all solutions of the system was more important than the local behavior of particular, analytically-precise solutions.
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