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Isomorphic Domains

From: Oliver Ruebenacker <curoli@gmail.com>
Date: Thu, 26 Mar 2009 21:47:22 -0400
Message-ID: <5639badd0903261847x33fe2393u38186fa4b8a3bd72@mail.gmail.com>
To: W3C HCLSIG hcls <public-semweb-lifesci@w3.org>
     Hello, All,

  There seem to exist frequently isomorphisms between different
domains, for example

  1. A protein has a sequence - a protein record has a sequence entry
  2. An EGFR molecule is a protein molecule - a spoonful of EGFR is a
spoonful of protein
  3. Operators in quantum mechanics - number in classical mechanics
  4. Properties in reality - variables in a mathematical model
  5. Entities - words
  6. Entities - data objects
  7. Actions - intentions

  Suppose I want to construct ontologies for two domains that seem to
be partially isomorphic. Is there a systematic way to exploit such

  Side note: It seems reflection inherently causes an infinite number
of domains. For example, records of entities can be considered a
reflection of entities. Records about different types of entities are
different types of records. Therefore, a record about a protein is
distinct from a record about a record about a protein, which is
distinct from a record about a record about a record about a protein,
and so forth. Managing an infinite number of reflection domains seems
only possible with a systematic approach to isomorphisms.

     Take care

Oliver Ruebenacker, Computational Cell Biologist
BioPAX Integration at Virtual Cell (http://vcell.org/biopax)
Center for Cell Analysis and Modeling
Received on Friday, 27 March 2009 01:47:58 UTC

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