Monday, April 5, 2010

(Göd)el

      So, while I was reading various articles here and there, I read one on Gödel's incompleteness theorems. Before I continue with this, I first need to explain the theorem's basic meaning.

Let's say that there's a printer.
The printer is a closed system.
No matter what happens, the printer needs outside input in order to function.
Gödel's theorems state that no matter how large a system you're looking at is, there is always a larger one and that you cannot prove the first system without knowing what's in the next system, and even then, arguably infinite other systems.

     Okay, I think that's a decent explanation of the whole ordeal. Well the first page I'd read about Gödel's theorems on was this one, which has, to say the least, a religious bias thrown in at the end, or at the least the author's own opinion on what the theorems means. He ends the article by basically saying that Gödel's theorems mean that, logically, God exists. For some reason, the author assumes, " There has to be something outside that circle" with the circles being the systems, and continues on with how that basically "proves" that God, or the belief in some all-powerful creator, is the next logical step. Well that's great and all, and however much I can understand wanting to validate your own ideas and beliefs, it's really just taking Gödel's theorems and butchering them for his own needs (which may not be surprising if you realize I found this on some GoogleAd site, just as a funky article).
       The primary problem I have with that article is that it tells you what Gödel's theorems are all about, and then goes on a tangent about God, all while the proof it's relying on is ignored the moment God comes into the picture, because for the to be no outside system of a previously known system, that would disprove Gödel's theorems.
       So say there is a God. Okay, but outside of that system there's something larger, and outside that system something even larger, and that continues into infinity. So even if God exists, there is something larger than s/he is. So while Gödel's theorems don't quite prove God, it does prove that God is devalued because there is infinitely larger systems beyond God that cannot ever be fully explained. Assuming there is a God at all. The "logical" leap the author makes is hilariously based on most any but logic, and that is why it fails (and why there are so many comments in the comment section).

Hope that all made sense, and that you all enjoyed it.

-Palindromatic
Devil liveD

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