>
>
> So the article isn't so much about the use of computers in mathematics as 
> it is about this very specific issue.
>
>
Yes, I wasn't intending to say anything else, only that the article at one 
point goes on to mention other things people do with computers in math and 
doesn't mention "discovery".

 

> Whether one can effectively use a computer to "discover" new, useful 
> theorems, remains to be seen. This is quite a distinct issue from using 
> computers to "discover" new conjectures by computing examples and 
> extrapolating.
>
>
Agreed.
 

> Perhaps a homotopy theorist could say something about the relative 
> usefulness of computational mathematics in discovering conjectures in 
> higher homotopy theory. I suspect a computer is not useful here.
>
>>
>> <http://nautil.us/issue/24/error/in-mathematics-mistakes-arent-what-they-used-to-be>
>>
>
When I was in grad school, I remember a now well-known homotopy theorist 
spending hours programming spectral sequences into one of the computers in 
our lab, and apparently getting something good out of it.  I was amazed but 
in retrospect I should have joined him! 

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