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 johnkcl...@gmail.com wrote: On Wed, Feb 19, 2014 at 1:13 PM, Telmo Menezes te...@telmomenezes.comwrote: 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

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 johnkcl...@gmail.com wrote: On Wed, Feb 19, 2014 at 1:13 PM, Telmo Menezes te...@telmomenezes.com wrote: If no human can check a proof of a theorem, does it really count as mathematics?

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 te...@telmomenezes.comwrote: 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

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

2014-02-20 Thread Telmo Menezes
On Wed, Feb 19, 2014 at 9:05 PM, Quentin Anciaux allco...@gmail.com 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

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 marc...@ulb.ac.be 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

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 marc...@ulb.ac.be 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

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),

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

2014-02-19 Thread LizR
On 20 February 2014 13:56, Craig Weinberg whatsons...@gmail.com 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

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

2014-02-19 Thread LizR
On 20 February 2014 13:56, Craig Weinberg whatsons...@gmail.com 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