How Can We Best Understand a System?

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To understand a system effectively, one must reason at the system level rather than focusing solely on its individual components. The analogy of baking a cake illustrates this point, emphasizing the importance of system properties like texture and color over the chemical properties of ingredients. The challenge lies in the difficulty of linking these properties causally, raising the question of when studying underlying processes becomes unproductive from a systems perspective. The discussion touches on the concept of emergent behavior in complex systems and the need for rigorous mathematical definitions and toolkits to explore this phenomenon. Recommendations for relevant literature and resources were provided to aid in understanding emergent behavior.
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Hi,

I was wondering if this makes sense and would appreciate pointers to relevant topics...

Basic idea is that if you want to understand a system you need to 'reason' on the level of the system and not on the level of its parts.

Analogy (borrowed from Tania Lombrozo from here) is that of baking a cake - when you bake a cake you care about 'system properties' like texture, color, smell, shape and so on and not various chemical properties of the underlying materials.

The problem is that texture, color, etc. are defined in completely different terms from various chemical properties+processes and these terms are very difficult (maybe impossible) to link causally. So, if what interests us is making the best cake does it even make sense to study the 'underlying basics' or should we study what actually interests us?

A slightly more refined version - when does studying the underlying processes stop yielding any interesting information from a 'systems viewpoint'?

Or is this all just hopelessly confused?

Thanks :)
 
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Sounds like a convoluted version of 'emergent behavior in complex systems'.
 
I know the term, though from what little I've seen it's often used as a catchphrase to replace 'we don't know why this happens'.

Are you familiar with sources that give rigorous mathematical definitions, toolkits for exploring emergent behavior or, barring anything concrete, a guide on how to think about emergent behavior? Maybe a course/textbook that you're familiar with and could recommend?

Thanks...
 
This is the problem when trying to 'reverse engineer' systems. You can end up with two boxes which do the same thing . . . usually.
 
query_ious said:
Are you familiar with sources that give rigorous mathematical definitions, toolkits for exploring emergent behavior or, barring anything concrete, a guide on how to think about emergent behavior? Maybe a course/textbook that you're familiar with and could recommend?
Thanks...

I don't know your level of preparation, so here's a few:

https://www.amazon.com/dp/9814366609/?tag=pfamazon01-20
https://www.amazon.com/dp/186094504X/?tag=pfamazon01-20
https://www.amazon.com/dp/1107008255/?tag=pfamazon01-20
https://www.amazon.com/dp/3319107585/?tag=pfamazon01-20
https://www.amazon.com/dp/364236585X/?tag=pfamazon01-20
 
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Thanks for the links, I'll see what my library has and give it a go...
 
I do not have a good working knowledge of physics yet. I tried to piece this together but after researching this, I couldn’t figure out the correct laws of physics to combine to develop a formula to answer this question. Ex. 1 - A moving object impacts a static object at a constant velocity. Ex. 2 - A moving object impacts a static object at the same velocity but is accelerating at the moment of impact. Assuming the mass of the objects is the same and the velocity at the moment of impact...

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