Wednesday, October 06, 2004

Chaos and Order (II)

The flapping of a single butterfly's wing today produces a tiny change in the state of the atmosphere. Over a period of time, what the atmosphere actually does diverges from what it would have done. So, in a month's time, a tornado that would have devastated the Indonesian coast doesn't happen. Or maybe one that wasn't going to happen, does.

-Ian Stewart, Does God Play Dice? The Mathematics of Chaos, pg. 141

CHAOS, with reference to above, refers to an apparent lack of ORDER in a system that nevertheless obeys particular laws or rules. However, unlike the butterfly effect, I cant seem to find any theory(ies) explaining order. The closest I got by Googling is this:

Order theory is achieved by specifying properties that a relation must have to be of a mathematical order(like smaller, bigger, equals to, ascending, descending order etc). This abstract approach makes sense, because one can derive numerous theorems in the general setting, without focusing on the details of any particular order. These insights can then be readily transferred to many concrete applications.

-Author unknown.


At 1:59 PM, Blogger Trishank Karthik said...

As someone once said, "It all depends on what you mean by...". Similarly, it depends on what you mean by "order". I think the order theory you found is linked to arithmetic. Chaos, in Ian Stewart's case, also has a mathematically precise meaning. Generally, people have different meanings for "order" and "chaos" than the ones you've just seen. It's nice to see that you're reading some good science.

At 2:59 PM, Blogger Sutharsanan said...

Trishank thanks for the comments. Sorry, I couldnt reply earlier, had been extremely busy. Neway, I visited ur blog. U are thinker ehh, keep it up, kkk. Who knows, maybe u are Malaysia's answer to Karl Marx.

At 10:42 PM, Blogger Sara said...

Awwww....two great thinkers meet.What a lovely union of paradigms....both complimenting each other....awwwwwww......*tears of joy*

At 12:40 PM, Blogger pinksinatra said...

suthar do keep posting... it's good to be able to read these informational posts.


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