Thanks for sharing the link to Doron Zeilberger's blog. I'd never heard of him 
before,  but I spent 
an hour or so reading his past blogs. His views are a little ...  outlandish, 
but very interesting.
I never knew there was a movement in mathematics, to put an end to the 
"Euclidean hegemony" (my phrase)
and promote an alternative "statistical" approach to maths. e.g. 
http://www.math.rutgers.edu/~zeilberg/Opinion145.html

I suppose, in that sense, J is as good a tool as any programming language for 
mathematical discovery. 
--------------------------------------------
On Thu, 4/14/16, R.E. Boss <[email protected]> wrote:

 Subject: Re: [Jchat] Computationally Assisted Mathematical Discovery and 
Experimental Mathematics
 To: "[email protected]" <[email protected]>
 Date: Thursday, April 14, 2016, 5:40 AM
 
 > From: Chat [mailto:[email protected]]
 On Behalf Of 'Jon
 > Hough' via Chat
 > Sent: woensdag 13 april 2016 16:26
 > 
 > Slightly off-topic, but also a little on-topic, your
 post reminded me of a slightly
 > old article
 > http://www.wired.com/2015/05/will-computers-redefine-roots-math/
 > about the use of coq, and other proof helpers, by
 mathematicians. It seems
 > computer aided proofs are going to become more
 important.
 
 I read the article, not that old btw, in Quanta Magazine and
 was amazed that (the name of) Zeilberger was not mentioned,
 who is very outspoken on this subject.
 Read his http://www.math.rutgers.edu/~zeilberg/Opinion149.html
 where he reminded that AlphaGo invented strategies
 unknown by the top world Go-players in its games with the
 world champion.
 He is convinced, and so am I, that computers, robots if you
 will, come up with math we people hardly will understand.
 And so will happen for other parts of science, art and life.
 
 (this is chat anyway)
  
 
 R.E. Boss
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