What is Chaos Theory and Does it Explain Predicting the Future?

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Discussion Overview

The discussion centers around chaos theory and its implications for predicting the future. Participants express interest in understanding the theory, its mathematical foundations, and its connection to initial conditions. The conversation also touches on recommendations for accessible literature on the topic.

Discussion Character

  • Exploratory
  • Conceptual clarification
  • Debate/contested

Main Points Raised

  • One participant expresses curiosity about chaos theory and its relation to predicting the future, seeking resources that balance mathematical content with accessibility.
  • Another participant recommends "Chaos and Fractals" by Peitgen et al. and mentions key concepts like the Fiegenbaum diagram, the Mandelbrot Set, and the Lorenz Attractor.
  • A suggestion is made to read "Chaos" by James Gleick, indicating its relevance to the topic.
  • Another participant mentions "Does God Play Dice" as a good book, questioning its connection to chaos theory and noting that chaos involves deterministic behavior rather than randomness.
  • There is a discussion about the title of "Does God Play Dice," referencing Einstein's quote and suggesting that the book may not fully capture the fundamentals of chaos theory.
  • A warning is given that "Does God Play Dice" is popular but contains limited equations, implying that some prior knowledge of differential equations may enhance understanding.

Areas of Agreement / Disagreement

Participants generally agree on the interest in chaos theory and its implications, but there are differing views on the appropriateness and depth of the recommended literature, particularly regarding the mathematical content and clarity of chaos theory concepts.

Contextual Notes

Some participants express uncertainty about the level of mathematical knowledge required to fully benefit from the recommended books, indicating that assumptions about prior knowledge may vary.

semidevil
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after posting my thread about predicting the future and getting some informatve reply, I got really interested in this.

So is this like chaos theory? is that what it's called? I would definatly love to read more about the theory behind this "predicting the future" and initial conditions and all that...to me, it's just so interesting.

Do you guys have any good books to reccommend? something not too technical, but then again, i don't want it to be like a story novel. so something with some math in it, and some theory, and research and all that...

I have no prior knowledge in this, so just want to get started and see what it's all about.
 
Last edited:
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semidevil said:
after posting my thread about predicting the future and getting some informatve reply, I got really interested in this.

So is this like chaos theory? is that what it's called? I would definatly love to read more about the theory behind this "predicting the future" and initial conditions and all that...to me, it's just so interesting.

Do you guys have any good books to reccommend? something not too technical, but then again, i don't want it to be like a story novel. so something with some math in it, and some theory, and research and all that...

I have no prior knowledge in this, so just want to get started and see what it's all about.

Good start: "Chaos and Fractals" by Peitgen et.al.

Learn the three Icons of Chaos Theory: The Fiegenbaum diagram, the Mandelbrot Set, and of course, The Lorenz Attractor.

It's intimately connected to non-linear dynamics. And if the whole world is made up of non-linear dynamics (the equations of mathematical physics are), then what does that tell you about what's going on?
 
Have you read "Chaos", by James Gleick?
 
Math Is Hard said:
Have you read "Chaos", by James Gleick?


yea, I haven't read anything yet, so just wanted to give something a try...thanx guys
 
"Does God Play Dice" is good.
 
danne89 said:
"Does God Play Dice" is good.

Is that about chaos theory? Chaos involves deterministic behavior, not random.
 
HallsofIvy said:
Is that about chaos theory? Chaos involves deterministic behavior, not random.
Indeed. The title is from the famous Einstein-quote "God does not play dice with the universe.". So it's Einstein, not the auhtor, who's gotten the fundamentals of the theory wrong. :smile:

Edit:
But I ought to warn: It's quite popular book and does just contain a handfew equation. Many pictures is provided, though. You should have some differentail equ. knowlage, at least, for benefit maximaly from it, I think.
 
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