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grahams rdfms-assertion text

From: Brian McBride <bwm@hplb.hpl.hp.com>
Date: Tue, 18 Jun 2002 13:37:16 +0100
Message-Id: <5.1.0.14.0.20020618133636.00aa32c8@15.144.25.13>
To: rdf core <w3c-rdfcore-wg@w3.org>

+ a social dimension to RDF
   + model theory talks about "possible worlds"
   + but RDF statements have an "intended interpretation" about the human 
world and web
   + also, a social context of publication;  e.g. personal home page vs 
software test cases
   + social context of use:  a program invoked to process some RDF will 
operate as if the
     raw statements are true.

+ truth of RDF statements
   + some logically truth
   + some true because people agree they are true
   + semantic web works with both kinds of truth
   + logical reasoning applying to assumed truths
   + "expert" reasoning applied to

+ semantic web deployment
   + initially
     + many assumed assertions
     + new assertions generated by specialized application software
     + few formalized deductions
   + evolving toward
     + more deduced assertions
     + more formalized deductions by generic reasoners
   + trust applies not only to individual assertions,
     but also to different forms of deduction

+ What does it mean to assert a graph?


+ Note:  may have some bearing on rdfs:isDefinedBy?


..........................


Assertion, truth and the social web
-----------------------------------

The web is a shared information space that is navigated and interpreted by 
people, in support of human affairs.

A goal of RDF is to lay a path for offloading some elements of this 
navigation and interpretation to automated processes, by providing a 
structure of relationships between the objects of discourse that can 
support formally defined relationships and logical entailments.

To support logical entailments, formal RDF meaning is based on a model 
theory:  a set of formal rules that constrain the possible worlds that can 
correspond to the truth of some given RDF.  The notion of truth here is 
crucial:  a possible world may correspond to some RDF if and only if the 
RDF statement is true in that world.  This leads to consideration of what 
makes a statement be true.

The position of formal model theory is that truth is determined a 
relationship between a statement and a possible world mediated by some 
formal rules of interpretation.  Not all truths about the world and human 
affairs can be expressed thus in purely logical terms.  Some broader 
notions of truth can be identified:

- logical truths:  statements which are true (in any MT interpretation) 
completely by view of their grammatical form and formal interpretation 
rules of the language.  (Quine:  all statements with the same gramatical 
form are true.)  These statements actually tell you nothing about the world.

- assumed truths:  Quine:  "statements that a native speaker of the 
language would regard as obvious".  These might be regarded as axioms of 
the native speaker's world (?).  In general, these will be truths that 
cannot be described by purely logical means, but rather are assessed by 
social means and institutions.

- assumed deductions:  determined by some informal process (assumed to be 
valid) from some other truths that have already been accepted.

- mixed truths:  truths that can be determined by some logical entailment 
from some other truths that have already been accepted.


It is presumed here that any interesting statement about the world or human 
afairs must ultimately depend on assumed truths.  Having accepted such an 
assumed truth into one's worldview, other interesting truths may be deduced 
by logical means.  So we need to have a coherent framework for combining 
assumed truths with sound logical meaning.  Semantic web vocabulary gains 
currency through use, so also do semantic web deductions ultimately have 
force through acceptance by people.  There is a strong social (non-logical) 
dimension in which semantic web logic must operate.

The semantic web aims to grow the use of automated deduction in the web, 
but it necessarily starts from a low base.  The nature of internet-scale 
deployments is that there must be a migration strategy -- new capabilities 
must coexist with older capabilities.  Thus, the semantic web deals with 
mixed truths;  in early deployments, most will be assumed and a few 
deduced;  as machinery develops, more truths may be deduced.

Currently, RDF provides a way to make simple formal assertions, with very 
little (no?) machinery for formalizing allowable inferences.  Inferences 
are performed by processes, embedded in software implentations, whose 
validity is not formally demonstrable, and must be assumed or trusted to be 
valid (in relation to the world and/or human affairs).  In time, it is 
expected that more of these can be expressed formally, and provable 
deductions by generic software modules can replace the individual 
implemenations.



What does it mean to assert a graph?
------------------------------------

When an RDF graph is asserted in the web, its publisher is saying something 
about their view of the world.  (The mechanism for deciding whether or not 
a graph is asserted is not discussed here, but it is presumed that the 
publisher's intent will be clear in some way -- social convention or 
logical deduction.)  There are a couple of socially grounded ideas 
here:  the publisher of a graph, and the social content in which it is 
published.

When a user invokes an application, there is also a social and technical 
context of invocation that determines some set of RDF assertions that will 
be assumed to be true:  the application itself, and any RDF files that are 
passed to it.  Garbage-in, garbage-out applies:  if the initial assumed 
facts are wrong or meaningless, the results will have little value.  No 
specfic mechanisms for deciding or evaluating the validity of any such 
assertions are discussed here.

An assertion tells us something about "the world" and human affairs, 
through the normal model theoretic possible-world constraint 
mechanisms.  Some of the truths that are asserted may be logical truths 
that can be evaluated using logical machinery.  Others may be assumed 
truths that cannot be evaluated logically, but whose truths can be 
determined by human (non-logical) interpretation.  So when we assert an RDF 
graph, one is stating a constraint on the world of human affairs, saying 
that both the logically testable and humanly interpretable truths in the 
graph are indeed true in that world.

Noting that there is no single human opinion about the truth of some 
statements, the graph may further contain commentary for human interpreters 
to indicate the realm of human interpretation that should be applied.  This 
mans a graph may contain "defining information" that is opaque to logical 
reasoners.  This information may be used by human interpreters of RDF 
informaton, or programmers writing software to perform specialized forms of 
deduction in the semantic web.

(cue Brian's test case)
Received on Tuesday, 18 June 2002 08:38:16 EDT

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