Re: Wikipedia-size maths proof too big for humans to check

2014-03-05 Thread Bruno Marchal
On 05 Mar 2014, at 17:09, Telmo Menezes wrote: On Fri, Feb 21, 2014 at 9:10 PM, John Clark wrote: On Wed, Feb 19, 2014 at 1:13 PM, Telmo Menezes wrote: > If no human can check a proof of a theorem, does it really count as mathematics? Good question, sometimes I wonder if we're ge

Re: Wikipedia-size maths proof too big for humans to check

2014-03-05 Thread Telmo Menezes
On Fri, Feb 21, 2014 at 9:10 PM, John Clark wrote: > On Wed, Feb 19, 2014 at 1:13 PM, Telmo Menezes wrote: > > > If no human can check a proof of a theorem, does it really count as >> mathematics? >> > > Good question, sometimes I wonder if we're getting close to that point. > When Andrew Wiles p

Re: Wikipedia-size maths proof too big for humans to check

2014-02-21 Thread John Clark
On Wed, Feb 19, 2014 at 1:13 PM, Telmo Menezes wrote: > If no human can check a proof of a theorem, does it really count as > mathematics? > Good question, sometimes I wonder if we're getting close to that point. When Andrew Wiles proved Fermat's Last Theorem it took another world class mathemati

Re: Wikipedia-size maths proof too big for humans to check

2014-02-20 Thread Bruno Marchal
Hi Telmo, On 20 Feb 2014, at 13:40, Telmo Menezes wrote: On Thu, Feb 20, 2014 at 9:31 AM, Bruno Marchal wrote: On 19 Feb 2014, at 19:13, Telmo Menezes wrote: "If no human can check a proof of a theorem, does it really count as mathematics? That's the intriguing question raised by the

Re: Wikipedia-size maths proof too big for humans to check

2014-02-20 Thread Telmo Menezes
On Thu, Feb 20, 2014 at 9:31 AM, Bruno Marchal wrote: > > On 19 Feb 2014, at 19:13, Telmo Menezes wrote: > > "If no human can check a proof of a theorem, does it really count as > mathematics? That's the intriguing question raised by the latest > computer-assisted proof. It is as large as the ent

Re: Wikipedia-size maths proof too big for humans to check

2014-02-20 Thread Telmo Menezes
On Wed, Feb 19, 2014 at 9:05 PM, Quentin Anciaux wrote: > But is it possible to write program checking the proof (not finding it) ? > I guess it must be, because a proof, is just following rules... so it > should be possible to devise two independent different proof checker... if > these proof ch

Re: Wikipedia-size maths proof too big for humans to check

2014-02-20 Thread Bruno Marchal
On 19 Feb 2014, at 19:13, Telmo Menezes wrote: "If no human can check a proof of a theorem, does it really count as mathematics? That's the intriguing question raised by the latest computer-assisted proof. It is as large as the entire content of Wikipedia, making it unlikely that will ever

Re: Wikipedia-size maths proof too big for humans to check

2014-02-19 Thread LizR
On 20 February 2014 13:56, Craig Weinberg wrote: > On Wednesday, February 19, 2014 3:05:58 PM UTC-5, Quentin Anciaux wrote: >> >> But is it possible to write program checking the proof (not finding it) ? >> I guess it must be, because a proof, is just following rules... so it >> should be possibl

Re: Wikipedia-size maths proof too big for humans to check

2014-02-19 Thread LizR
On 20 February 2014 13:56, Craig Weinberg wrote: > On Wednesday, February 19, 2014 3:05:58 PM UTC-5, Quentin Anciaux wrote: >> >> But is it possible to write program checking the proof (not finding it) ? >> I guess it must be, because a proof, is just following rules... so it >> should be possibl

Re: Wikipedia-size maths proof too big for humans to check

2014-02-19 Thread Craig Weinberg
On Wednesday, February 19, 2014 3:05:58 PM UTC-5, Quentin Anciaux wrote: > > But is it possible to write program checking the proof (not finding it) ? > I guess it must be, because a proof, is just following rules... so it > should be possible to devise two independent different proof checker..

Re: Wikipedia-size maths proof too big for humans to check

2014-02-19 Thread Quentin Anciaux
But is it possible to write program checking the proof (not finding it) ? I guess it must be, because a proof, is just following rules... so it should be possible to devise two independent different proof checker... if these proof checker are smaller than the proof itself (and they should be), then

Wikipedia-size maths proof too big for humans to check

2014-02-19 Thread Telmo Menezes
"If no human can check a proof of a theorem, does it really count as mathematics? That's the intriguing question raised by the latest computer-assisted proof. It is as large as the entire content of Wikipedia, making it unlikely that will ever be checked by a human being." http://www.newscientist.