Alex and Lars,
The issues are complex, and they require a major effort to explain in detail. It's
not a task that an email list -- such as Ontolog Forum -- can even begin to address. For
a start, I recommend 117 slides (with many, many links and references):
https://www.jfsowa.com/talks/vrmind.pdf .
I am not claiming that my 117 slides solve or explain all the issues. But they summarize
many issues and point to many more references for further details and explanations.
Alex: I prefer First Order LANGUAGE. As there are so many logics right now. And by the
way, the FOL framework (as we discussed after Barwise) does not have numbers of any kind.
Every version of FOL is isomorphic to the versions that were independently discovered by
Frege (1879) and Peirce (1885). Nobody but Frege ever used his notation. But everybody
adopted Peirce's version with minor changes in the choice of symbols. Most
importantly, anything stated in one version can be mapped to and from every other version
automatically without the slightest change of meaning.
However, there are various subsets and supersets of FOL. The Object Management Group
(OMG) developed the DOL standard for defining the mappings among them. The HeTS system
can automatically map any DOL notation to and from equivalent notations. It can also map
any notation to any more expressive notation.
As for numbers, they are a family of systems that can be defined in FOL. As soon as the
axioms are added to the set of FOL specifications, numbers become available. Please read
slides 84 to 105 of vrmind.pdf.
Lars: Information is actually not a good word for what is stored in the brain. Try mneme
(as coined and defined by Richard Semon) or (retrievable/mnemic) engram. One reason being
- in short - that information (the process) is rather associated with the creation of
engrams. And information as the stimulus of perception is also different from engrams.
I agree. I was using the word 'information' for what is stored in computer
systems. Please see the 117 slides of vrmind.pdf. I admit that 117 slides require a
large amount of reading. But I suggest that you just start at slide 2 and flip through
the slides until you find something interesting.
In summary, there are many other groups that do detailed R & D and specifications of
standards. As a mailing list that also sponsors various conferences, Ontolog Forum is not
a place for developing standards. Anybody who wants to do such work should join a project
that does develop standards.
John