Monday, November 22, 2004

The Mathematical existence Of God

Amidst all this talk about Aethism, God, Religion and so much else that seems to have creeped in, I came accross this very interesting uh, derivation(?!).
In 1970 sometime, Austrian mathematician Kurt Gödel wrote a 'Methematical' 'proof' for the existance of god. It goes something like this:
(Hey, another glitch, the O in Godel is supposed to have 2 dots on top of it... this site doesn't seem to have the capacity for these extra symbols. Please bear with the wierd looknig signs...)

Gödels's Mathematical Proof Of God's Existence

Axiom 1: (Dichotomy) A property is positive if and only if its negation is negative.

Axiom 2: (Closure) A property is positive if it necessarily contains a positive property.

Theorem 1: A positive property is logically consistent (i.e. possibly it has some instance.)

Definition: Something is God-like if and only if it possesses all positive properties.

Axiom 3: Being God-like is a positive property.

Axiom 4: Being a positive property is (logical, hence) necessary.

Definition: A property P is the essence of x if and only if x has P and P is necessarily minimal.

Theorem 2: If x is God-like, then being God-like is the essence of x.

Definition: NE(x): x necessarilt exists if it has an essential property.

Axiom 5: Being NE is God-like.

Theorem 3: Necessarily there is some x such that x is God-like.



Isn't it brilliant?? Though I'm not sure that I got it all, I hink I've pretty clearly understood right till Axiom 5. Most scientists, logicians, mathematicians still can't understand every part of it, so it remains a mystery, but it seems to have a (mystical, yet) strong foundation - don't you think?
I am most compelled to believe in God's existance, but I stand my ground very firmly. This is a brilliant piece to ponder about though(So next time you're asked to host an assembly, you know what to talk about!!).
There are so amny fascinating instances of math being applied(is that right...?) everywhere that the whole world takes an entirely different meaning. It's all part of this book called "Wonder Of Numbers". Admitted the name does not sound most enthralling, but if you see it anywhere, you must blindly pick it up. A must read, if only to raise questions about the very foudation of our mathematics.
Verdict: 5 Stars.

3 comments:

Anonymous said...

http://www.saliu.com/almighty_number.html

roopa

Anonymous said...

Randomness is the fundamental attribute of the Universe. The Fundamental Formula of the Everything (FFG) proves mathematically that the concept of god represents absolute absurdity:

Why God fears mathematics, while Einstein hates gambling.

Anonymous said...

Thanks for posting this. I have been doing some research for sometime on logic and concepts of infinity. I like this argument. I will add it to my research.