Dear Chris M and Chris P, (01)
Can I suggest we take this to the Ontolog Forum, I don't think it is really
of interest for this year's ontology summit, and I will respond there. (02)
Regards (03)
Matthew West
Information Junction
Tel: +44 560 302 3685
Mobile: +44 750 3385279
matthew.west@xxxxxxxxxxxxxxxxxxxxxxxxx
http://www.informationjunction.co.uk/
http://www.matthew-west.org.uk/ (04)
This email originates from Information Junction Ltd. Registered in England
and Wales No. 6632177.
Registered office: 2 Brookside, Meadow Way, Letchworth Garden City,
Hertfordshire, SG6 3JE. (05)
> -----Original Message-----
> From: ontology-summit-bounces@xxxxxxxxxxxxxxxx [mailto:ontology-summit-
> bounces@xxxxxxxxxxxxxxxx] On Behalf Of Chris Partridge
> Sent: 16 December 2010 22:37
> To: 'Ontology Summit 2011 discussion'
> Subject: Re: [ontology-summit] FW: [ontolog-invitation] Invitation to a
> brainstorming call for the 2011 Ontology Summit
>
> Not every logician agrees with Chris (which I am sure is no surprise to
> anyone - including Chris).
>
> For example,
> http://www.amazon.co.uk/gp/product/1575860082/ref=wms_ohs_product
> Vicious Circles: On the Mathematics of Non-Wellfounded Phenomena - Jon
> Barwise (Author), Lawrence Moss (Author)
>
> Product Description
> Circular analyses of philosophical, linguistic, or computational phenomena
> have been attacked on the assumption that they conflict with mathematical
> rigour. Barwise and Moss have undertaken to prove this assumption false.
> This volume is concerned with extending the modelling capabilities of set
> theory to provide a uniform treatment of circular phenomena.
>
> Jon Barwise (http://en.wikipedia.org/wiki/Jon_Barwise ) argues that the
> circularity found in non-well-foundedness is common in the real world -
i.e.
> it is a common requirement. As such it would make sense to include it on
> your foundation.
> While personally not finding all his examples persuasive, I think the
> general point that it is a requirement is well made.
>
> Another interesting recent (technical) book on a similar the same topic is
> http://www.amazon.co.uk/gp/product/0199276439/ref=wms_ohs_product -
Absolute
> Generality - Agustín Rayo (Editor), Gabriel Uzquiano (Editor).
> I believe the introduction can be found somewhere on the net.
>
> Chris
>
> > -----Original Message-----
> > From: ontology-summit-bounces@xxxxxxxxxxxxxxxx [mailto:ontology-
> > summit-bounces@xxxxxxxxxxxxxxxx] On Behalf Of Christopher Menzel
> > Sent: 16 December 2010 20:53
> > To: Ontology Summit 2011 discussion
> > Subject: Re: [ontology-summit] FW: [ontolog-invitation] Invitation to a
> > brainstorming call for the 2011 Ontology Summit
> >
> > On Dec 16, 2010, at 2:24 PM, Matthew West wrote:
> > >> -1 for 15926, with arguments:
> > >> http://ontology.buffalo.edu/bfo/west.pdf
> > >
> > > Which are answered in:
> > > http://www.matthew-
> > west.org.uk/documents/Reponse%20to%20Barry%20Smith%20Comments%2
> > 0on%20ISO%2015926.htm
> >
> > Barry's criticisms of the use of a non-well-founded set theory like
> Aczel's AFA
> > are on the money. He notes that it is a greatly overpowered for the
needs
> of
> > the document; it entails, among other things, the entire massively
> infinite
> > hierarchy of transfinite numbers. (How massive? So massive that there
> is
> > no transfinite number big enough to number them.) Moreover, ironically,
> > AFA and its like are in a sense underpowered as well for the given task.
> > Notably, as I understand the document, THING is itself a class that
> contains,
> > well, everything. The existence of such a class (understood as a non-wf
> set)
> > is flatly inconsistent with non-wf ZF spinoffs like AFA.
> >
> > Bottom line (as John Sowa likes to say): The underlying class theory of
> the
> > document needs to be thrown out and rethought completely.
> >
> > Chris Menzel
> >
> >
> > ________________________________________________________________
> > _
> > Msg Archives: http://ontolog.cim3.net/forum/ontology-summit/
> > Subscribe/Config: http://ontolog.cim3.net/mailman/listinfo/ontology-
> > summit/
> > Unsubscribe: mailto:ontology-summit-leave@xxxxxxxxxxxxxxxx
> > Community Files: http://ontolog.cim3.net/file/work/OntologySummit2011/
> > Community Wiki: http://ontolog.cim3.net/cgi-
> > bin/wiki.pl?OntologySummit2011
> > Community Portal: http://ontolog.cim3.net/wiki/
>
>
> _________________________________________________________________
> Msg Archives: http://ontolog.cim3.net/forum/ontology-summit/
> Subscribe/Config:
http://ontolog.cim3.net/mailman/listinfo/ontology-summit/
> Unsubscribe: mailto:ontology-summit-leave@xxxxxxxxxxxxxxxx
> Community Files: http://ontolog.cim3.net/file/work/OntologySummit2011/
> Community Wiki: http://ontolog.cim3.net/cgi-bin/wiki.pl?OntologySummit2011
> Community Portal: http://ontolog.cim3.net/wiki/ (06)
_________________________________________________________________
Message Archives: http://ontolog.cim3.net/forum/ontolog-forum/
Config Subscr: http://ontolog.cim3.net/mailman/listinfo/ontolog-forum/
Unsubscribe: mailto:ontolog-forum-leave@xxxxxxxxxxxxxxxx
Shared Files: http://ontolog.cim3.net/file/
Community Wiki: http://ontolog.cim3.net/wiki/
To join: http://ontolog.cim3.net/cgi-bin/wiki.pl?WikiHomePage#nid1J
To Post: mailto:ontolog-forum@xxxxxxxxxxxxxxxx (07)
|