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Chaotic nonlinear dynamics have been an object of mathematical research for a very long time and we have built up good mathematical tools to work with them, but
by gradus_ad 2y ago
Chaotic nonlinear dynamics have been an object of mathematical research for a very long time and we have built up good mathematical tools to work with them, but in spite of that turbulent flow and similar phenomena (brains/LLM's) remain poorly understood.
The problem is that the macro and micro dynamics of complex systems are intimately linked, making for non-stationary non-ergodic behavior that cannot be reduced to a few principles upon which we can build a model or extrapolate a body of knowledge. We simply cannot understand complex systems because they cannot be "reduced". They are what they are, unique and unprincipled in every moment (hey, like people!).
- deleted 2y ago[deleted]
- baxtr 2y agoPhysicists would probably argue that the system might be understood but that we don’t have the model for it yet. Many natural phenomena look chaotic at best without a model. Once you have a model things fall into place and everything starts looking orderly. Maybe it cannot be reduced. But maybe we are just observing the peripherals without understanding the inner workings.
- MrsPeaches 2y agoIf I can speak in aphorisms, Creation is downhill, analysis is uphill. Profound ideas often seem simple once understood.
- baxtr 2y agoWell put. In other words: simplicity is a hallmark of understanding.