Leo:
My browser returns an Error 404.......
For the referenced link.. is the problem on my end or?
Have fun,
Joe
On Tue, Dec 13, 2011 at 2:40 PM, Obrst, Leo J. <lobrst@xxxxxxxxx> wrote:
Actually, in your cited paper [2], apparently Robert Kent is one of the authors. He’s been involved with category theory for many years, since 2000 or before,
preceding the work at Bremen, I think. Many of us know him from his Information Flow Framework (based on Barwise and Seligmans’ IF Theory, itself an application of category theory) in the old SUO: see e.g.,
http://suo.ieee.org/IFF/slides.pdf.
Thanks,
Leo
From: ontolog-forum-bounces@xxxxxxxxxxxxxxxx [mailto:ontolog-forum-bounces@xxxxxxxxxxxxxxxx]
On Behalf Of Ali SH
Sent: Tuesday, December 13, 2011 3:50 PM
To: [ontolog-forum]
Subject: [ontolog-forum] Ontology, Analogies and Mapping Disparate Fields
Hi all,
Just wanted to pass along a link to an ontology related story (though it's barely framed as such) in a relatively mainstream technology news outlet:
It seems to me that the author is reinventing the wheel (though with a nice twist re formulating /
expressing o-logs and "sketches").
Especially since their review of the ontology field (in the
ologs--basic.pdf paper) seems to extend only to RDF/OWL and completely ignores (or misses) work on Common Logic, conceptual graphs and the most glaring omission - the work on category theory in Bremen. Incidentally, such an omission appears to be an
unfortunate corollary of the crowding out of any non-RDF/OWL work.
In any event, it's interesting work, though the correlation between the two seemingly disparate fields (spider silks and melody) reminds me more of the seminal "Unreasonable
Effectiveness of Mathematics in the Natural Sciences" speech - http://www.dartmouth.edu/~matc/MathDrama/reading/Wigner.html [3]
A lot of semantic mapping to date has indeed focused on DL level mappings (cf Euzenat & Shvaiko's Ontology Matching book [4]), but there is a rich set of logical mappings which can capture a lot of these structural
similarities between disparate fields. I know I've repeated this claim before, but the limited expressivity of DL's mutes many of these mappings, because well, they generally aren't captured (can't be expressed) in the formalism. There is something to be said
for picking the correct language to describe a domain, where difficult problems become much simpler. I suspect this will be one of the first major obstacles in orchestrating services based on LOD sets beyond the low hanging fruit currently being explored.
In a previous discussion with Bijan, we were talking past each other re reasoning over expressive ontologies. I kept on talking about reasoning "off-line", while he insisted such projects were fatally intractable.
I later realized the disconnect was that I was talking about verifying an expressive ontology (which you only need to do once, hence off-line), while he was thinking that you need to process the entire ontology for every query. Verification need be done only
once (and indeed, off-line), while the deployment of queries over fragments of the ontology can then deploy more optimized tools.
I think there's an attractive case for articulating in some way, in some place, an expressive version of an ontology, even if for certain services / tasks you only deploy a decidable fragment of said ontology. For
one, it can greatly facilitate semantic mappings, while secondly, it makes the entire project more upwards compatible, especially as the major DL's are continually adding greater expressivity. The expressive version of the reference ontology can function a
sort of road map for deployment, a sort of technology agnostic commitment, whereas DL or otherwise deployed artifacts are technology dependent products / services...
Lastly, I'd point out that the group at the University of Toronto does have a paper on this topic (modularizing and reducing expressive ontologies into ontologies of other types that preserve the logical structure
of the models), which has the incidental benefit of being able to identify logical similarity between theories according to an open repository... I will see if I have permission to distribute a pre-print to the list (Michael?).
[1] Tristan Giesa, David I. Spivak and Markus J. Buehler "Reoccurring Patterns in Hierarchical Protein Materials and Music: The Power of Analogies" BioNanoScience Volume 1, Number 4, 153–161, DOI: 10.1007/s12668-011-0022-5
[2] D.I. Spivak, R.E. Kent “Ologs: a categorical framework for knowledge representation". PLoS ONE (in press): e24274. (2011) doi:10.1371/journal.pone.0024274
[3] Wigner, E. P. (1960). "The unreasonable effectiveness of mathematics in the natural sciences. Richard courant lecture in mathematical sciences delivered at New York University, May 11, 1959". Communications
on Pure and Applied Mathematics 13: 1–14. doi:10.1002/cpa.3160130102.
[4] Jérôme Euzenat, Pavel Shvaiko.
Ontology Matching. Springer-Verlag, Berlin Heidelberg (DE), 2007
_________________________________________________________________
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
--
Joe Simpson
Sent From My DROID!!
_________________________________________________________________
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 (01)
|