On 4/22/2013 1:48 PM, david petry wrote: > 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. > > Artistic license is out of place in mathematics. >
Fair enough. But, you seem to have stopped reading at the word "beautiful".