On Monday, April 22, 2013 4:53:22 AM UTC-7, fom wrote:
> > [Gregory Chaitin: "How real are real numbers?" (2004)]
(a quote from Chaitin):
> "In spite of the fact that most individual real > numbers will forever escape us, the notion > of an arbitrary real has beautiful mathematical > properties and is a concept that helps us > to organize and understand the real world. > Individual concepts in a theory do not need > to have concrete meaning on their own; it is > enough if the theory as a whole can be > compared with the results of experiments."
Some mathematicians write so beautifully that they should be poets. I mean, they should be poets instead of being mathematicians. As poets, they wouldn't be doing any real harm.