Oh, I am definitely dubious of the potential about using AI over cultural 
heritage data for even inferencing based on axioms like this. I am entirely 
unsurprised that the effort required was unrealistically high. This is why, in 
the discussion in the Linked Art space, we put it aside as being a theoretical 
problem, but not one that would cause any real errors.

I think you expressed it perfectly – it is reasonable to assume that properties 
hold from the whole to the part unless it is otherwise stated. If the whole has 
a timespan, then the part can be assumed to have that timespan as well (even if 
an edge case allows it to not in fact have that timespan). With cultural 
heritage everything is uncertain to a large degree, compared to physical 
sciences and especially to mathematics, and expecting all assertions to be 
verified as true is simply impossible.

That said … if there was a sub-property of P9 that was used for activities, we 
could be more explicit in the scope notes about some of these implications 
about the actors, rather than just the time and space. If there’s interest in 
pursuing this, I’m happy to participate and channel use cases. If there isn’t, 
I’m just as happy to leave the sleeping dog alone 😊

Rob


From: Crm-sig <[email protected]> on behalf of Martin Doerr 
<[email protected]>
Date: Friday, April 17, 2020 at 10:15 AM
To: "[email protected]" <[email protected]>
Subject: Re: [Crm-sig] Activity Partitioning (was Actors acting for other 
Actors)

Dear Robert,

Very good remarks! but...
I may say that this discussion runs headlong against the wall of providing 
enough information from the real world in order to feed artificial intelligence 
- you seem yourself to be critical about it.

I can make a qualified statement about that, because I assigned a whole Master 
thesis about reasoning from parts to wholes in activities, and teams and 
instrumentation used in activities to a student.  In the framework of the 
European Project 3D-COFORM, about digitization and creation of 3D models, we 
could show that even when you intend to monitor completely manually what is 
going on in a technical process, the effort becomes unrealistically high. If 
you are interested, I can make the whole thesis available.

Therefore we need inferences that provide reasonable likelihoods: " if there is 
the activity of writing a book which was carried out by a Person, I don’t think 
it is legitimate to conclude that the part of writing a chapter was also 
carried out by that same person." Correct, but it is most reasonable to assume 
in absence of other evidence. Indeed, historical information almost exclusively 
of such kind of reasoning, and a large part of empirical natural science as 
well.

Extending inferences in binary logic with inferences  of likelihood is in my 
eyes the challenge of the future, and not attempting to model the world until 
binary logic can deal with it completely. Likelihoods of such inferences can, 
in enough cases, be approximated by actual distributions. For instance, in a 
certain context, you may be able to estimate how many writers let chapters 
write by other people. This is a research agenda I share with other computer 
scientists.

Please also note, that E4 Period continues to be IsA STV.

Please also note, that the formalization of the CRM does NOT take inverse 
properties to support different inferences from forward ones, and always imply 
each other. Hence, using P9i does not make any difference in CRM logic.

All the best,

Martin

On 4/17/2020 6:53 PM, Robert Sanderson wrote:

Dear all,

This discussion (and the partitioning aspect of it) reminds me of a niggling 
concern that came up in the Linked Art work about scope note of P9 when applied 
to activities.

In particular, P9 only talks about the part being a subset of the phenomena of 
the whole:

This property associates an instance of E4 Period with another instance of E4 
Period that is defined by a subset of the phenomena that define the former.

To what extent can we infer knowledge through the P9 link, if any? For example, 
if there is the activity of writing a book which was carried out by a Person, I 
don’t think it is legitimate to conclude that the part of writing a chapter was 
also carried out by that same person.

If X consists_of Y, and X carried_out_by Z, then it is not necessarily the case 
that Y carried_out_by Z, due to the open world assumption.  It could be that X 
was also carried out by A, B and C, but that was just not stated. Therefore Y 
could have been carried out by anyone.   And the same argument for all other 
relationships and properties.

Do we even know that the part is within the same temporal period as the whole? 
I don’t think so, given that P4 allows alternative opinions about it expressed 
by assigning multiple Time-Spans to the same E2 Temporal Entity, rather than 
creating a new E2 and having a 1:1 relationship with TimeSpan. So the part 
could occur temporally within an undocumented alternative opinion about the 
timespan. We would thus instead need to also assert P117 occurs during … which 
is not a sub-property of P9 or vice versa.

P9 is a sub property of P10, which has a domain and range of Spacetime Volume… 
so this will need to change with the change of STVs no longer being a parent 
class of Period? At which point we could ensure that P9 implies both P117 and 
some spatial equivalent?

Conversely, it seems that P9i forms part of IS a strong assertion. If we assert 
that the part was carried out by A, then the whole MUST have been carried out 
by at least A, because the carrying-out of the part is a subset of the 
carrying-out of the whole.  Thus, we should prefer to use P9i, as it enables 
stronger inferences and understanding.  But … then if we assert that an 
Activity is part of a Period (rather than merely occurs during it), then the 
carrying-out-ness is a part of the phenomena of the Period … which cannot be 
carried out as it’s not an activity.

Result:    :head-exploding-emoji:

For now we have chosen to ignore these issues in linked art for the sake of 
sanity and convenience. However if there is guidance or improvements that can 
be made, we would be happy to contribute to those discussions! 😊

Rob

The original issue: https://github.com/linked-art/linked.art/issues/316








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