I'm fascinated by Chaitin's Constant and his use of the word "elegance". His ideas challenge my current belief system.
From the article:
>> [what is] the probability that a randomly constructed program will halt [?]
Where are you in life when this is a question that needs to be pondered? My bet is you're at a point where (when?) you question nature and/or human nature.
>> Real numbers are real
I meant to say, real numbers existed all along and were discovered, as opposed to being an invention.
What made me come to this conclusion? Here's Chaitin (paraphrased):
- run a process that through a series of operations produces a scalar, deterministically.
- alter that process.
- observe that the scalar has increased/decreased in value.
From the article:
>> [what is] the probability that a randomly constructed program will halt [?]
Where are you in life when this is a question that needs to be pondered? My bet is you're at a point where (when?) you question nature and/or human nature.
>> Real numbers are real
I meant to say, real numbers existed all along and were discovered, as opposed to being an invention.
What made me come to this conclusion? Here's Chaitin (paraphrased):
- run a process that through a series of operations produces a scalar, deterministically.
- alter that process.
- observe that the scalar has increased/decreased in value.
I.e. numbers are "real".