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Re: RDF Semantics - Definition of "Interpretation" is missing

From: Henry Story <henry.story@bblfish.net>
Date: Thu, 10 Oct 2013 08:34:09 +0200
Cc: public-rdf-comments <public-rdf-comments@w3.org>
Message-Id: <390A0001-C5FC-4C75-8AD4-EDB0B6254253@bblfish.net>
To: David Booth <david@dbooth.org>

On 10 Oct 2013, at 04:41, David Booth <david@dbooth.org> wrote:

> Regarding
> http://www.w3.org/TR/2013/WD-rdf11-mt-20130723/
> 
> Section 4 of the RDF Semantics is careful to define all of the major terms that are used within the document . . . except one.  AFAICT, the general notion of an "interpretation" is nowhere defined.  Later in the document, specific kinds of interpretations are defined, such as Simple Interpretations, RDF Interpretations and RDFS Interpretations.  But AFAICT a definition of the general notion of an interpretation is completely absent.
> 
> The 2004 version of the semantics had a very nice explanation of the notion of interpretations:
> http://www.w3.org/TR/2004/REC-rdf-mt-20040210/#interp
> and it had a glossary definition of the term:
> http://www.w3.org/TR/2004/REC-rdf-mt-20040210/#glossInterpretation
> 
> I don't know why the current draft eliminated those sections, but somehow the RDF Semantics needs to explain what is meant by an "interpretation", since the notion is central to the semantics.
> 
> I would suggest restoring the explanation from the 2004 version, but I would be fine with some other replacement instead.

+1 I really like the 2004 definition of interpretation. I'd like to point out that there are courses on Coursera
now that do a very good job of explaining the origin of that notion of interpretation. See the course on 
Mathematical Philosophy:


About the Course
Since antiquity, philosophers have questioned the foundations--the foundations of the physical world, of our everyday experience, of our scientific knowledge, and of culture and society. In recent years, more and more young philosophers have become convinced that, in order to understand these foundations, and thus to make progress in philosophy, the use of mathematical methods is of crucial importance. This is what our course will be concerned with: mathematical philosophy, that is, philosophy done with the help of mathematical methods.


As we will try to show, one can analyze philosophical concepts much more clearly in mathematical terms, one can derive philosophical conclusions from philosophical assumptions by mathematical proof, and one can build mathematical models in which we can study philosophical problems.


So, as Leibniz would have said: even in philosophy, calculemus. Let's calculate.



Course Syllabus
Week One: Infinity (Zeno's Paradox, Galileo's Paradox, very basic set theory, infinite sets).

Week Two: Truth (Tarski's theory of truth, recursive definitions, complete induction over sentences, Liar Paradox).

Week Three: Rational Belief (propositions as sets of possible worlds, rational all-or-nothing belief, rational degrees of belief, bets, Lottery Paradox).

Week Four: If-then (indicative vs subjunctive conditionals, conditionals in mathematics, conditional rational degrees of belief, beliefs in conditionals vs conditional beliefs).

Week Five: Confirmation (the underdetermination thesis, the Monty Hall Problem, Bayesian confirmation theory).

Week Six: Decision (decision making under risk, maximizing xpected utility, von Neumann Morgenstern axioms and representation theorem, Allais Paradox, Ellsberg Paradox).

Week Seven: Voting (Condorcet Paradox, Arrows Theorem, Condorcet Jury Theorem, Judgment Aggregation).

Week Eight: Quantum Logic and Probability (statistical correlations, the CHSH inequality, Boolean and non-Boolean algebras, violation of distributivity)
Recommended Background
We will not presuppose more than bits of high school mathematics.
Suggested Readings
We will give you lists of additional references later in the course.
Course Format
The class will consist of lecture videos, which are between 8 and 15 minutes in length. These contain 1-2 integrated quiz questions per video.
FAQ
Will I get a Statement of Accomplishment after completing this class?
Yes. Students who successfully complete the class will receive a Statement of Accomplishment signed by the instructors.

About the Instructors

Hannes Leitgeb
Ludwig-Maximilians-Universität München (…
Stephan Hartmann
Ludwig-Maximilians-Universität München (…



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> Thanks,
> David
> 

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Received on Thursday, 10 October 2013 06:34:40 UTC

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