I agree with  P125(x,y,w) ⇔ (∃z) [E70(z) ∧ P16(x,z,w) ∧ P2(z,y)] and the 
argument that the "w" should just be propagated in both directions. 

In fact, I was wondering if the argument is specific for P125/P16 or if it can 
be applied to all "of type" properties that are strong shortcuts? For example 
P199 "represents instance of type":

short: E36 Visual Item P199 represents instance of type E55 Type
long: E36 Visual Item P138 represents [P138.1 mode of representation] E1 CRM 
Entity P2 has type E55 Type 
P199(x,y,w) ⇔ (∃z) [E1(z) ∧ P138(x,z,w) ∧ P2(z,y)]


> A)  I'd argue that P138.1 mode of representation is indeed identical to 
> P62.1. Simply, similar examples have not been provided.  I suggest a FOL for 
> that. 

What does it mean that the .1 properties in a weak shortcut are identical? 

short: E24 Physical Human-Made Thing P62 depicts [P62.1 mode of depiction] E1 
CRM Entity
long: E24 Physical Human-Made Thing P65 shows visual item E36 Visual Item P138 
represents E1 [P138.1 mode of representation] CRM Entity
P62(x,y) ⇐ (∃z) [E36(z) ∧ P65(x,z) ∧ P138(z,y)]

Do you have something like this in mind?
P62(x,y,w) ⇐ (∃z) [E36(z) ∧ P65(x,z) ∧ P138(z,y,w)]
P62(x,y,w) ∧ E36(z) ∧ P65(x,z) ∧ P138(z,y)  ⇒  P138(z,y,w)

Or in one line:
E62(x,y) ∧ E36(z) ∧ P65(x,z) ∧ P138(z,y)  ⇒  [P62(x,y,w) ⇔ P138(z,y,w)]

Wolfgang


> Am 01.12.2022 um 16:11 schrieb Martin Doerr via Crm-sig 
> <[email protected]>:
> 
> I agree with:
>  
> So we need to add (6) 
> P125(x,y,w)  ⇒ (∃z) [E70(z) ∧ P16(x,z,w) ∧  P2(z,y)]
> 
> That is, if an activity x, uses things of type y in the mode of w then there 
> exists a thing used in x in the mode of w and the type of x is y. But now we 
> need to take into consideration that the short path has a .1-property and we 
> add 
> P125(x,y,w) ⇐ (∃z) [E70(z) ∧ P16(x,z,w) ∧  P2(z,y)]
> 
> 😁
> 
> 
> On 12/1/2022 12:02 PM, Christian-Emil Smith Ore via Crm-sig wrote:
>> Thank you for your comment.  The second argument of the P125 is the type of 
>> things used in an activity. Still the type of an object is not equal to the 
>> way such an object is used in an activity. Trilobite fossils can be used in 
>> the production of a jewellery as a mold. (My daughter has one in gilded 
>> silver).
>> 
>> This is an argument for a P125.1 mode of use.
>> 
>> The technicalities:
>> P16(x,z,w) is the current notation for P16.1(x,z,w) 
>> 
>> (1) for all w P16(x,z,w)  ⇒ P16(x,z)
>> 
>> and we already have declared the axiom
>> (2) P125(x,y) ⇔ (∃z) [E70(z) ∧ P16(x,z) ∧  P2(z,y)]
>> 
>> and (3) below can  be deduced from (1) and (2):
>> (3) P125(x,y) ⇐ (∃z) [E70(z) ∧ P16(x,z,w) ∧  P2(z,y)]
>> 
>> The other way is not so easy since (5) below cannot be deduced from (2) 
>> since the fact that a specific thing is used in an activity does not imply 
>> that this thing is used in the mode of used described by any instance of E55 
>> Type which would have been the case if (4) were universally true.
>> (4)P16(x,z)  ⇒ P16(x,z,y)   
>> (5) P125(x,y)  ⇒ (∃z) [E70(z) ∧ P16(x,z,y) ∧  P2(z,y)]
>> 
>> So we need to add (6) 
>> P125(x,y,w)  ⇒ (∃z) [E70(z) ∧ P16(x,z,w) ∧  P2(z,y)]
>> 
>> That is, if an activity x, uses things of type y in the mode of w then there 
>> exists a thing used in x in the mode of w and the type of x is y. But now we 
>> need to take into consideration that the short path has a .1-property and we 
>> add 
>> P125(x,y,w) ⇐ (∃z) [E70(z) ∧ P16(x,z,w) ∧  P2(z,y)]
>> 
>> I hope this is correct. 
>> Christian-Emil
>> From: Crm-sig <[email protected]> on behalf of Martin Doerr via 
>> Crm-sig <[email protected]>
>> Sent: 30 November 2022 16:11
>> To: [email protected]
>> Subject: Re: [Crm-sig] issue 534Shortcuts, .1-properties and the long paths
>>  
>> OK, 😁,
>> 
>> If I understand correctly, the "w" should just be propagated in both 
>> directions. If P125, nothing tells us that the unknown z is the same as one 
>> possibly in a full path of the same activity. Nothing tells us why there 
>> should not be more than one "w" for the same z. Is that what you mean?
>> 
>> I'd support creating such a P125.1.
>> 
>> Best,
>> 
>> Martin
>> 
>> On 11/30/2022 3:57 PM, Christian-Emil Smith Ore via Crm-sig wrote:
>>> 
>>> 
>>> B:
>>> Typo: P125  should be P125.1 in the bold phrase.
>>> 
>>> "The implication from the long path to the shortcut is ok since the 
>>> shortcut has no .1-property. The implication from the shortcut to the long 
>>> path is problematic since there is a .1-property in the long path. It is 
>>> possible to imagine that the shortcut could have a P125.1 mode of use:E55 
>>> Type, but the range instance of P16.1 and P125.1 must be identical so the 
>>> following additional FOL axiom would have to be added:
>>> 
>>> P125(x,y,w) ⇔ (∃z) [E70(z) ∧ P16(x,z,w) ∧  P2(z,y)]"
>>> 
>>> 
>>> From: Crm-sig <[email protected]> on behalf of Martin Doerr via 
>>> Crm-sig <[email protected]>
>>> Sent: 30 November 2022 14:35
>>> To: [email protected]
>>> Subject: Re: [Crm-sig] issue 534Shortcuts, .1-properties and the long paths
>>>  
>>> Dear Christian-Emil,
>>> 
>>> I agree with your precise analysis, except for:
>>> 
>>> A)  I'd argue that P138.1 mode of representation is indeed identical to 
>>> P62.1. Simply, similar examples have not been provided.  I suggest a FOL 
>>> for that. 
>>> 
>>> "P138.1 mode of representation   seems to be unrelated to P62.1 mode of 
>>> depiction. 
>>> 
>>> Conclusion
>>> Neither of the .1-properties in the long path are semantically related to 
>>> the .1-property of the shortcut property. Since P62 is declared as a 
>>> shortcut of the long path, it cannot have the .1-property."
>>> 
>>> I agree that P67.1 is unrelated. The kind of reference of a P138 instance 
>>> would be "represents". This is implicit I think in the explanation of .1 
>>> properties of "has type"-type in the introduction.  Could be a new issue.
>>> 
>>> B) 
>>> "The implication from the long path to the shortcut is ok since the 
>>> shortcut has no .1-property. The implication from the shortcut to the long 
>>> path is problematic since there is a .1-property in the long path. It is 
>>> possible to imagine that the shortcut could have a P125.1 mode of use:E55 
>>> Type, but the range instance of P16.1 and P125 must be identical so the 
>>> following additional FOL axiom would have to be added:
>>> 
>>> P125(x,y,w) ⇔ (∃z) [E70(z) ∧ P16(x,z,w) ∧  P2(z,y)]"
>>> 
>>> 
>>> 
>>> I have not understood why "the range instance of P16.1 and P125 must be 
>>> identical ". 
>>> 
>>> E.g., used "passiflora racemosa flower", mode of use "as model", (Martin 
>>> Johnson Heade, "Hummingbirds and Passionflowers", ca 1870-1883, Museum of 
>>> Fine Arts Boston, 
>>> https://artsandculture.google.com/asset/hummingbird-and-passionflowers/LAEr7eIcfErZwg?hl=en-GB&ms=%7B%22x%22%3A0.5%2C%22y%22%3A0.5%2C%22z%22%3A8.643661874326806%2C%22size%22%3A%7B%22width%22%3A3.2807205935359844%2C%22height%22%3A1.2375%7D%7D)
>>>  
>>> a typical case for the ten thousands of botanical images from European 
>>> botanical researchers in the previous centuries.
>>> 
>>> Funny example is John James Audubon: He reportedly shot a bird in 1812 in 
>>> Pennsylvania, named it "Regulus cuvieri", painted it probably with an error 
>>> in "Birds of America", so that this species was never seen again.
>>> 
>>> Best,
>>> 
>>> Martin
>>> 
>>> On 11/30/2022 1:35 PM, Christian-Emil Smith Ore via Crm-sig wrote:
>>>> Dear all,
>>>> 
>>>> My HW can be found here:
>>>> 
>>>> https://docs.google.com/document/d/1kd-zCO8e00WoKWb-9VAm96ECDEA2O_1iFI6kpgcuCnE
>>>> 
>>>> 
>>>> 
>>>> Best,
>>>> 
>>>> Christian-Emil
>>>> 
>>>> 
>>>> 
>>>> _______________________________________________
>>>> Crm-sig mailing list
>>>> 
>>>> [email protected]
>>>> http://lists.ics.forth.gr/mailman/listinfo/crm-sig
>>> 
>>> 
>>> -- 
>>> ------------------------------------
>>>  Dr. Martin Doerr
>>>               
>>>  Honorary Head of the                                                       
>>>             
>>>  Center for Cultural Informatics
>>>  
>>>  Information Systems Laboratory  
>>>  Institute of Computer Science             
>>>  Foundation for Research and Technology - Hellas (FORTH)   
>>>                   
>>>  N.Plastira 100, Vassilika Vouton,         
>>>  GR70013 Heraklion,Crete,Greece 
>>>  
>>>  Vox:+30(2810)391625  
>>>  Email: 
>>> [email protected]
>>>   
>>>  Web-site: 
>>> http://www.ics.forth.gr/isl
>>> 
>>> 
>>> _______________________________________________
>>> Crm-sig mailing list
>>> 
>>> [email protected]
>>> http://lists.ics.forth.gr/mailman/listinfo/crm-sig
>> 
>> 
>> -- 
>> ------------------------------------
>>  Dr. Martin Doerr
>>               
>>  Honorary Head of the                                                        
>>            
>>  Center for Cultural Informatics
>>  
>>  Information Systems Laboratory  
>>  Institute of Computer Science             
>>  Foundation for Research and Technology - Hellas (FORTH)   
>>                   
>>  N.Plastira 100, Vassilika Vouton,         
>>  GR70013 Heraklion,Crete,Greece 
>>  
>>  Vox:+30(2810)391625  
>>  Email: 
>> [email protected]
>>   
>>  Web-site: 
>> http://www.ics.forth.gr/isl
>> 
>> 
>> _______________________________________________
>> Crm-sig mailing list
>> 
>> [email protected]
>> http://lists.ics.forth.gr/mailman/listinfo/crm-sig
> 
> 
> -- 
> ------------------------------------
>  Dr. Martin Doerr
>               
>  Honorary Head of the                                                         
>           
>  Center for Cultural Informatics
>  
>  Information Systems Laboratory  
>  Institute of Computer Science             
>  Foundation for Research and Technology - Hellas (FORTH)   
>                   
>  N.Plastira 100, Vassilika Vouton,         
>  GR70013 Heraklion,Crete,Greece 
>  
>  Vox:+30(2810)391625  
>  Email: 
> [email protected]
>   
>  Web-site: 
> http://www.ics.forth.gr/isl
> _______________________________________________
> Crm-sig mailing list
> [email protected]
> http://lists.ics.forth.gr/mailman/listinfo/crm-sig


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