Breakout for identity issue:
In at least one ontology one can refer to a “quantity of a substance” as a “PhysicalObject” (mass, location, composition). In the (very common) case where one has a quantity of some mixture of substances (a 14-K gold ring, e.g.) there is a quantity of “gold” and a quantity of “copper”. There is no reason I can think of not to be able to refer to the gold in that ring as an object separate from the copper – that is logically coherent. As long as the ring exists, those two quantities of substance will have the same spatio-temporal location.
Now it is true that the atoms of those two component substances had origins in different spatio-temporal locations. So the atoms composing the ring did not always have the same spatio-temporal location. But I would like to (why not?) refer to those two objects (piece of copper, piece of gold) **While they were in the ring**. In that case those two pieces of stuff, in that time interval, had exactly the same spatio-temporal location.
Doe the notion of “identity” as implying “identical spatio-temporal location” require that we do the impossible, of tracing an object back to the origin of the universe? How does one preserve that notion of identity and deal with the problem of co-location, within some meaningful and accessible time interval?
And how about the ship of Theseus? I presume that diachronic identity is not what is at issue here (a different issue), but since everything made of mass changes with time, the notion of “identity” becomes very tricky unless we mean “diachronic identity” by default, with “identity at a specific time” as a different notion, and perhaps some special notion for special cases (other than mathematical, hard to think of one).
I think that every day I don’t become a better person is a lost day. Do I die every day, to be resurrected the next?
Pat
From: ontolo...@googlegroups.com [mailto:ontolo...@googlegroups.com] On Behalf Of David Whitten
Sent: Saturday, March 23, 2019 9:53 AM
To: ontolog-forum
Subject: Re: [ontolog-forum] nice free talk
I"m enjoying this discussion.
If I say that I have a 4-D spatial temporal entity.
To me, this means that I can take a "double location" pair (spacial location, temporal location)
and see if that pair coincides with the entity.
If I give this a pair a name, does this make that "double location" into a possible property value
of that named property for the entity?
Since I don't have infinite capacity in storage for my equality comparison operation to use,
nor do I have infinite capacity to describe the entity, I would assume that for any particular application,
or for any particular granularity, I would limit the number of such "double location" pairs used by a comparison
in some way.
Perhaps that might even be a good way of defining "granularity" as I struggle with finding a good definition.
As referenced by Mike Bennett, Leibniz's Law stipulates that if two things have exactly the same
characteristics / properties then they are the same thing.
Do you think Leibniz was thinking about a definition of property similar to what I mentioned here?
As to identity versus identification, I'm not clear enough of the distinction you are making to be
able to have a strong opinion.
Dave Whitten
On Sat, Mar 23, 2019 at 5:08 AM 'Alex Titov' via ontolog-forum <ontolo...@googlegroups.com> wrote:
> This is one of the things that 4D can simplify: If two things have the same spatio-temporal extent, they are the same thing.
Let’s say that I agree and share that postulate. But there may be plenty of other observers, who don’t agree…
The issue I don’t know how to solve in that situation - how one knows that two (or more) patio-temporal extents are the same? That has to be observed/measured somehow. Suppose I can make such observations/measurements. What happens if another observer gets another results? In addition, my observation is spatio-temporal related as well and observations from one point and time moment may be different from another.
That makes me thinking that 4D is not enough. Somehow the observers provide influence on observations and are to be included into the model. But I don’t feel that I have enough knowledge, skills, experience to work on this.
Kind regards,
Alex Titov
https://www.linkedin.com/in/alextitovOn 23 Mar 2019, 08:50 +0000, Matthew West <dr.matt...@gmail.com>, wrote:
Dear Mike,
This is one of the things that 4D can simplify: If two things have the same spatio-temporal extent, they are the same thing. The main challenge is that requires maintaining some history of where something is/has been to maintain the confidence that what you are looking at is a state of the whole concerned.
Regards
Matthew
From: ontolo...@googlegroups.com <ontolo...@googlegroups.com> On Behalf Of Mike Bennett
Sent: 22 March 2019 20:58
To: ontolo...@googlegroups.com
Subject: Re: [ontolog-forum] nice free talk
We were talking about some of these issues on the fringes of the Object Management Group meetings this week, around the concept of a 'Digital Twin' and the issues of identifiers for things.
As I recall, Leibniz's Law stipulates that if two things have exactly the same characteristics / properties then they are the same thing. I have always been suspicious of this. It seems to me that there is something to identity qua identity, regardless of the characteristics one might use to detect it. The 'soul' of the thing, as it were. But I don't know any good theories or references that unpack that idea.
Mike
PS I'm glad you were able to have such a valuable discussion in the absence of my having been able to organize something on the day. It sounds like we should do that more often.
On 3/22/2019 4:20 PM, Matthew West wrote:
Dear Alex,
From a cursory glance based on what I have read, that is a good summary. Good spot.
Regards
Matthew
From: ontolo...@googlegroups.com <ontolo...@googlegroups.com> On Behalf Of Alex Shkotin
Sent: 22 March 2019 17:35
To: ontolog-forum <ontolo...@googlegroups.com>
Subject: Re: [ontolog-forum] nice free talk
Dear Matthew,
thank you very much for interesting reference:-) Maybe I begin with https://www.academia.edu/7162073/Review_of_The_Varieties_of_Reference_by_Gareth_Evans
And let me say that a way of reference defers from science to science and from technology to technology. It's just important to know this kind of attributes in an ontology as well as in DB.
For example, for rock samples, we have coordinates of excavation at first, but also where are they now and also reference to the expedition details.
Thank you!
Alex
пт, 22 мар. 2019 г. в 19:43, Matthew West <dr.matt...@gmail.com>:
Dear Alex,
As it happens I am currently reading “Varieties of Reference” by Gareth Evans. What that suggests is that there is more than one way of referring to things. So far, I’m getting the kind of description you are saying and proper names where a particular name has been introduced as referring to a particular thing.
The book seems to be quite good, so I recommend it if you want to discuss/understand the related issues.
Regards
Matthew West
From: 'Alex Titov' via ontolog-forum <ontolo...@googlegroups.com>
Sent: 22 March 2019 11:43
To: ontolo...@googlegroups.com
Subject: Re: [ontolog-forum] nice free talk
In my personal opinion, an identification is a subset of classification relations, so that we have a restriction on the class - its cardinality is to be equal to one. Some consequences - there may not be an ‘absolute’ identification - only ‘relative’ - in some external context - and what can be treated as a thing identification in one context - might not be identification in the other context (where a singular cardinality property is violated)…
Kind regards,
AlexOn 22 Mar 2019, 11:31 +0000, Alex Shkotin <alex.s...@gmail.com>, wrote:
Exactly Metthew,
and for me, identity and identification are more about fingerprint, i.e. very special data structures.
Alex
пт, 22 мар. 2019 г. в 13:48, Matthew West <dr.matt...@gmail.com>:
Dear Alex and Dave,
You need to be very careful about using structure for identity. ISO 10303 (STEP) developed a set of data structures (integrated resources) and then interpreted them in different ways for different purposes. Some people thought this would enable them to integrate the data, but of course the interpretation was as important as the structure, and you could not, at least not on the basis of the common structures.
Regards
Matthew West
From: ontolo...@googlegroups.com <ontolo...@googlegroups.com> On Behalf Of Alex Shkotin
Sent: 22 March 2019 09:34
To: ontolog-forum <ontolo...@googlegroups.com>
Subject: Re: [ontolog-forum] nice free talk
Thank you, Dave.
I am ready to clarify any misunderstanding and the best way for me is by email as I need to translate carefully Eng2Ru, Ru2Eng:-)
About your question: if two structures are equal we may use one of them to model another. In ontologic the identity is important. Consider we look at the object directly and at the same time through the mirror. When we merge two ontologies equality of structures is just precondition for identity. For me, "equal" is a logical and math term, and "identity" - ontological. But maybe you just need examples of "if there were other ways"?
Alex
чт, 21 мар. 2019 г. в 23:16, David Whitten <whi...@worldvista.org>:
I really appreciate your insight as well Alex.
As I said on the call, I feel I gain every time I read one of your e-mails.
I may not always understand it, but I have some ideas for more research.
For those who were not there,
I was talking about Dr. Wirth and his work on the Pascal programming language.
When I studied it, there were some discussions about how do you compare
two variables which may or may not be equal. Do we define the equality
of a value based on the NAME of the datatype for each, or the STRUCTURE
of the datatype for each.
So if we have a variable P of type PCOUNTER and another variable K of type KCOUNTER
and we say names matter for equality
and we see code IF (P == K)
then we can stop and say they are not equal
since we just see that PCOUNTER is a different name than KCOUNTER,
But if say structure matters,
and there is a definition that has PCOUNTER as INTEGER
and there is a definition that has KCOUNTER as INTEGER
then we can't just stop and say they are not equal
because we need to look at the variables P and K and see if they both
represent the same INTEGER value.
We didn't even get into where PCOUNTER is a subtype of KCOUNTER,
though Pascal as I recall had the ability to define a type as a range of values
like FROM 1 TO 100 (though I don't recall the syntax of how to define those types)
In ontologies, we have two ways of describing Categories/Classes
First, define by list where we have a list of the instances of the Categories/Classes
or a list of the subCategories/subClasses.
Second, define by rule where we have some statement we can use in a logical way
to test and determine if a particular potential instance is actually an instance of that
Category/Class.
I was asking if there were other ways where we used the Name of the Category/Class
and or the structure of instances of the Category/Class to determine if they are equal.
Does this make sense?
Dave Whitten
On Thu, Mar 21, 2019 at 10:46 AM Alex Shkotin <alex.s...@gmail.com> wrote:
Hi All,
we have got it occasionally, but maybe it's a good idea to have free talk for ex. one per month.
It's a pity we do not have a record.
Thank you, David, for your attention! You mentioned Wirth+Pascal and my response was that we may look at any type (record...) in a language like Pascal as a hierarchical schema from DB point of view. And we may look at the DB schema as RDFS one and transform it into DL isomorphically. But usually, this is not a good idea, as we need to transform it logically.
There were other interesting topics touched: category theory, "ages", CL, program verification...
I lowered my hand because I have forgotten what I'd like to say: axioms, definitions, and finite models for any kind of science and technology.
And the last but not least, when we have the math model of part of Reality, some attributes have very special meaning - these are input parameters for material algorithms to find out this particular mostly unique object. Without this kind of reference to reality, we have just statistics.
Alex
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Dear Pat,
This is where 4D comes to the rescue. Under 4D an object is its spatio-temporal extent, and if you find two objects with the same spatio-temporal extent, then they are the same thing. Essentially that means that if (and only if) they occupy the same space over the whole of their life, they are the same thing.
This allows things to be coincident at a point in time, but still different over their life. Thus Donald Trump and the President of the United States and currently coincident, but these are two different objects because they are not coincident over the whole of their lives.
Regards
Matthew
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Dear Phil,
I’m going to start at the end of you email, because that is where the key difference lies between us.
“My understanding of 4-D models for representation of the things we experience is limited, but if we are looking for useful ways to support machine interpretation of natural language, shouldn't we always favor a model based on our current shared understanding of the world, which is reflected in how we talk and write about the world? If not, is String Theory even better than ! 4-D?”
I have absolutely no interest in supporting the machine interpretation of natural language. I’m an engineer, and what I am after is the most accurate model I can find that reflects how the world actually is, rather than how we talk about it. Engineers don’t even use words as the major way that they communicate. Most communication is by drawings and tables of specifications, or measurements of properties.
I quite accept that if you do want to support machine interpretation of natural language you might be interested in 3D ontologies. However, I would expect that what you really ought to be doing is translating what is said into something that accurately reflects how the world is, in which case I would still claim 4D is a better choice.
See further comments below.
Dr. West --
I subscribe to the Ontolog Forum precisely because I have so much to learn from the KR experts who participate, but I am bothered by such abstract arguments. In this case, the 4-D model for objects seems at odds with how humans actually experience and understand the things, beings, and processes around them, regardless of changes in state and changes in characteristics over the course of their existence.
Although I appreciate the wry humor of the Trump example, even as President he is still -- always and essentially -- Donald Trump. Isn't it just better to describe him at the moment as "Donald Trump [as President of the United States]" if that qualification is relevant?
[MW>] The question is “What kind of thing is President of the United States?” In 4D I am quite happy saying there is a state of Donald Trump that is also a state of President of the United States, but the key thing I want to say is that does not mean that Donald Trump and President of the United States are the same thing.
What is your position? Do you claim that President of the United States is identical to Donald Trump or are there actually two objects here? If you claim there are two different objects here, how is it that they can be coincident?
And why, given such emphasis on changes in state or role in a 4-D model (or the overlap/coincidence between "Individual 1" and "President of the United States" for a specified range of time), should we stop thi! nking of him as Donald J. Trump when he dies?
[MW>] You should not of course. There is a spatio-temporal extent that is the whole life of Donald Trump. That is what ends when he dies. The state of him when he is president is a temporal part of that whole life. Similarly, President of the United States has temporal parts that are temporal parts of Barrack Obama and many others. As a result we can say that Donald Trump and President of the United States are different particulars because they are not coincident throughout their lives.
The physical pieces are still there, just slowly dissolving into compounds and elements. (I was also going to ask, "Would it just be the absence of a soul?" but I realized that may not apply.) Sorry for the politics. I could not resist.
In any case, most people simply do not perceive or understand the world around them as 4-D objects, and this 3-D understanding of the world is reflected in their communications. We do understand that even rocks ultimately disintegrate or melt ... although most people 3000 years ago may not have.
[MW>] Most people have not understood the world around them. However, I don’t think that is a good argument for having an ontology that reflects that lack of understanding when you are looking for an accurate ontology of how the world is.
My understanding of 4-D models for representation of the things we experience is limited, but if we are looking for useful ways to support machine interpretation of natural language, shouldn't we always favor a model based on our current shared understanding of the world, which is reflected in how we talk and write about the world? If not, is String Theory even better than ! 4-D?
[MW>] I addressed this above.
Regards
Matthew
-----------------------------------------------------------
Phil Murray
TamingComplexity.org
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Dear Phil,
I’m going to start at the end of you email, because that is where the key difference lies between us.
“My understanding of 4-D models for representation of the things we experience is limited, but if we are looking for useful ways to support machine interpretation of natural language, shouldn't we always favor a model based on our current shared understanding of the world, which is reflected in how we talk and write about the world? If not, is String Theory even better than ! 4-D?”
I have absolutely no interest in supporting the machine interpretation of natural language. I’m an engineer, and what I am after is the most accurate model I can find that reflects how the world actually is, rather than how we talk about it. Engineers don’t even use words as the major way that they communicate. Most communication is by drawings and tables of specifications, or measurements of properties.
I quite accept that if you do want to support machine interpretation of natural language you might be interested in 3D ontologies. However, I would expect that what you really ought to be doing is translating what is said into something that accurately reflects how the world is, in which case I would still claim 4D is a better choice.
See further comments below.
Dr. West --
I subscribe to the Ontolog Forum precisely because I have so much to learn from the KR experts who participate, but I am bothered by such abstract arguments. In this case, the 4-D model for objects seems at odds with how humans actually experience and understand the things, beings, and processes around them, regardless of changes in state and changes in characteristics over the course of their existence.
Although I appreciate the wry humor of the Trump example, even as President he is still -- always and essentially -- Donald Trump. Isn't it just better to describe him at the moment as "Donald Trump [as President of the United States]" if that qualification is relevant?
[MW>] The question is “What kind of thing is President of the United States?” In 4D I am quite happy saying there is a state of Donald Trump that is also a state of President of the United States, but the key thing I want to say is that does not mean that Donald Trump and President of the United States are the same thing.
What is your position? Do you claim that President of the United States is identical to Donald Trump or are there actually two objects here? If you claim there are two different objects here, how is it that they can be coincident?
And why, given such emphasis on changes in state or role in a 4-D model (or the overlap/coincidence between "Individual 1" and "President of the United States" for a specified range of time), should we stop thi! nking of him as Donald J. Trump when he dies?
[MW>] You should not of course. There is a spatio-temporal extent that is the whole life of Donald Trump. That is what ends when he dies. The state of him when he is president is a temporal part of that whole life. Similarly, President of the United States has temporal parts that are temporal parts of Barrack Obama and many others. As a result we can say that Donald Trump and President of the United States are different particulars because they are not coincident throughout their lives.
The physical pieces are still there, just slowly dissolving into compounds and elements. (I was also going to ask, "Would it just be the absence of a soul?" but I realized that may not apply.) Sorry for the politics. I could not resist.
In any case, most people simply do not perceive or understand the world around them as 4-D objects, and this 3-D understanding of the world is reflected in their communications. We do understand that even rocks ultimately disintegrate or melt ... although most people 3000 years ago may not have.
[MW>] Most people have not understood the world around them. However, I don’t think that is a good argument for having an ontology that reflects that lack of understanding when you are looking for an accurate ontology of how the world is.
My understanding of 4-D models for representation of the things we experience is limited, but if we are looking for useful ways to support machine interpretation of natural language, shouldn't we always favor a model based on our current shared understanding of the world, which is reflected in how we talk and write about the world? If not, is String Theory even better than ! 4-D?
[MW>] I addressed this above.
Regards
Matthew
-----------------------------------------------------------
Phil Murray
TamingComplexity.org
From: "Matthew West" <dr.matt...@gmail.com>
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Dear Phil,
Matthew --
Apologies for the delay in responding. I'll try to keep this brief.
PCM> My understanding of 4-D models for representation of the things we experience is limited, but if we are looking for useful ways to support machine interpretation of natural language, shouldn't we always favor a model based on our current shared understanding of the world, which is reflected in how we talk and write about the world?
[MW>] I think we should prefer a model that has explanatory power. How we talk and write about the world usually has a lot to do with our current context, which is here, now, you and me. Language has evolved to be efficient for this limited but common situation. It does not reflect our understanding of the world, just how we interact with it on a daily basis.
MW> I have absolutely no interest in supporting the machine interpretation of natural language. I’m an engineer, and what I am after is the most accurate model I can find that reflects how the world actually is, rather than how we talk about it.
PCM> Understood. But I have been trying to work out whether there are fundamental, significant, and necessary differences between (1) ontologies designed for machine interpretation of language (like Cyc?) and (2) ontologies (or other! tools of KR) designed for engineering and other complex, but practical (and more narrowly defined) requirements? Is improving data quality in databases (as described in your paper, "Ontology Meets Business - Applying Ontology to the Development of Business Information Systems") fundamentally at odds with applications of machine interpretation of natural language?
[MW>] No, but you start from a different perspective. My experience is that a model that reflects how the world is, is a bit harder to grasp in the first place, but once you have, then things fall into place. On the other hand, if you start from a linguistic perspective based in a localised context, then as you get away from that things get harder, as you have to work round the limited start point. I think it is easier to map from how we talk to how things are, than it is to bolt on reality to how we talk.
[snip]
MW> Engineers don’t even use words as the major way that they communicate. Most communication is by drawings and tables of specifications, or measurements of properties.
PCM> Of course, and that applies to many professions and communities, not just engineers. But designers of databases do describe in words the most important aspects of those databases in ways that provide understanding to broader audiences within and outside their communities -- not just to engineers. Or, at least, we wish they always would.
[MW>] Designers of databases tend to use entity relationship diagrams. The problem with text is that it is linear, whereas the knowledge in database structure is a network which any linearization hides.
[snip]
MW> Most people have not understood the world around them. However, I don’t think that is a good argument for having an ontology that reflects that lack of understanding when you are looking for an accurate ontology of how the world is.
PCM> True, but precise descriptions of things are simply not relevant, manageable, or useful for most of us most of the time. And such precise descriptions would be impenetrable to most people, even if stated in a well-designed controlled natural language, IMO. But the broader public will tend to evolve to more rigorous and grounded descriptions of the world ... even if the understandings of average people never correlate perfectly with the understandings of experts in particular fields. Or, at least, we pray they will evolve.
[MW>] You need more precise and accurate definitions for reasoning, and so your databases work when a naively designed one would not. It’s fine to bring the context stuff in to how you present to and engage with people, rather than expose them to all the workings under the hood.
In fact, the sheer volume of information accessible to us means that even the average person will need -- more than ever -- well-modeled reference points to make informed judgements about reality. Blogs, comment sections, Twitter, etc., are pulling meaning apart and encouraging broad-! stroke, emotion-based characterizations of the world that create divisions of understanding, not better understanding. Solving that problem is my area of interest.
[MW>] I’m in a much harder area (in the sense of being close to science and engineering rather than more difficult). So, my interest is in simple facts rather than say propositional attitudes.
[snip]
MW> There is a spatio-temporal extent that is the whole life of Donald Trump. That is what ends when he dies. The state of him when he is president is a temporal part of that whole life. Similarly, President of the United States has temporal parts that are temporal parts of Barrack Obama and many others. As a result we can say that Donald Trump and President of the United States are different particulars because they are not coincident throughout their lives.
PCM> I see the notion of a human individual (a known instance of a type of object) as being a very different kind of thing than a possible quality (one of an infinite number of possible qualities or properties, which themselves may evolve) -- not as two things sharing a role for a specified time. For me, this&nbs! p; is an important difference. I suspect you have thought through such differences quite thoroughly, so I'll try to find more about that in your writings.
[MW>] Well my book “Developing High Quality Data Models” would be the best place, but this paper on roles and the different way the term is used is probably what you are looking for:
http://www.matthew-west.org.uk/publications/RolesFOMI2008.pdf?attredirects=0
Regards
Matthew
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