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Brian Selzer
 
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Default POOD and the Unique Name Assumption - 06-09-2008 , 08:02 AM






Does the Unique Name Assumption apply only to individuals, or does it apply
also to relations? Under an interpretation where constant symbols are
mapped to individuals and predicate symbols are mapped to relations, if a
and b are constant symbols and P and Q predicate symbols and if neither aPb
nor aQb fail to denote, can aPb ever mean exactly the same thing as aQb?

And if the Unique Name Assumption does apply also to relations, then what
impact does that have on POOD?





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  #2  
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Marshall
 
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Default Re: POOD and the Unique Name Assumption - 06-10-2008 , 01:28 AM






On Jun 9, 6:02 am, "Brian Selzer" <br... (AT) selzer-software (DOT) com> wrote:
Quote:
Does the Unique Name Assumption apply only to individuals, or does it apply
also to relations? Under an interpretation where constant symbols are
mapped to individuals and predicate symbols are mapped to relations, if a
and b are constant symbols and P and Q predicate symbols and if neither aPb
nor aQb fail to denote, can aPb ever mean exactly the same thing as aQb?

And if the Unique Name Assumption does apply also to relations, then what
impact does that have on POOD?
I guess I don't really know what this "Unique Name Assumption" is.
But ordinarily, the mapping from names to things being named
is a function, but not necessarily the reverse.

As to whether aPb can ever mean the same thing as aQb:

2+0 = 2-0


Marshall


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  #3  
Old   
Marshall
 
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Default Re: POOD and the Unique Name Assumption - 06-10-2008 , 01:28 AM



On Jun 9, 6:02 am, "Brian Selzer" <br... (AT) selzer-software (DOT) com> wrote:
Quote:
Does the Unique Name Assumption apply only to individuals, or does it apply
also to relations? Under an interpretation where constant symbols are
mapped to individuals and predicate symbols are mapped to relations, if a
and b are constant symbols and P and Q predicate symbols and if neither aPb
nor aQb fail to denote, can aPb ever mean exactly the same thing as aQb?

And if the Unique Name Assumption does apply also to relations, then what
impact does that have on POOD?
I guess I don't really know what this "Unique Name Assumption" is.
But ordinarily, the mapping from names to things being named
is a function, but not necessarily the reverse.

As to whether aPb can ever mean the same thing as aQb:

2+0 = 2-0


Marshall


Reply With Quote
  #4  
Old   
Marshall
 
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Default Re: POOD and the Unique Name Assumption - 06-10-2008 , 01:28 AM



On Jun 9, 6:02 am, "Brian Selzer" <br... (AT) selzer-software (DOT) com> wrote:
Quote:
Does the Unique Name Assumption apply only to individuals, or does it apply
also to relations? Under an interpretation where constant symbols are
mapped to individuals and predicate symbols are mapped to relations, if a
and b are constant symbols and P and Q predicate symbols and if neither aPb
nor aQb fail to denote, can aPb ever mean exactly the same thing as aQb?

And if the Unique Name Assumption does apply also to relations, then what
impact does that have on POOD?
I guess I don't really know what this "Unique Name Assumption" is.
But ordinarily, the mapping from names to things being named
is a function, but not necessarily the reverse.

As to whether aPb can ever mean the same thing as aQb:

2+0 = 2-0


Marshall


Reply With Quote
  #5  
Old   
Marshall
 
Posts: n/a

Default Re: POOD and the Unique Name Assumption - 06-10-2008 , 01:28 AM



On Jun 9, 6:02 am, "Brian Selzer" <br... (AT) selzer-software (DOT) com> wrote:
Quote:
Does the Unique Name Assumption apply only to individuals, or does it apply
also to relations? Under an interpretation where constant symbols are
mapped to individuals and predicate symbols are mapped to relations, if a
and b are constant symbols and P and Q predicate symbols and if neither aPb
nor aQb fail to denote, can aPb ever mean exactly the same thing as aQb?

And if the Unique Name Assumption does apply also to relations, then what
impact does that have on POOD?
I guess I don't really know what this "Unique Name Assumption" is.
But ordinarily, the mapping from names to things being named
is a function, but not necessarily the reverse.

As to whether aPb can ever mean the same thing as aQb:

2+0 = 2-0


Marshall


Reply With Quote
  #6  
Old   
Marshall
 
Posts: n/a

Default Re: POOD and the Unique Name Assumption - 06-10-2008 , 01:28 AM



On Jun 9, 6:02 am, "Brian Selzer" <br... (AT) selzer-software (DOT) com> wrote:
Quote:
Does the Unique Name Assumption apply only to individuals, or does it apply
also to relations? Under an interpretation where constant symbols are
mapped to individuals and predicate symbols are mapped to relations, if a
and b are constant symbols and P and Q predicate symbols and if neither aPb
nor aQb fail to denote, can aPb ever mean exactly the same thing as aQb?

And if the Unique Name Assumption does apply also to relations, then what
impact does that have on POOD?
I guess I don't really know what this "Unique Name Assumption" is.
But ordinarily, the mapping from names to things being named
is a function, but not necessarily the reverse.

As to whether aPb can ever mean the same thing as aQb:

2+0 = 2-0


Marshall


Reply With Quote
  #7  
Old   
Marshall
 
Posts: n/a

Default Re: POOD and the Unique Name Assumption - 06-10-2008 , 01:28 AM



On Jun 9, 6:02 am, "Brian Selzer" <br... (AT) selzer-software (DOT) com> wrote:
Quote:
Does the Unique Name Assumption apply only to individuals, or does it apply
also to relations? Under an interpretation where constant symbols are
mapped to individuals and predicate symbols are mapped to relations, if a
and b are constant symbols and P and Q predicate symbols and if neither aPb
nor aQb fail to denote, can aPb ever mean exactly the same thing as aQb?

And if the Unique Name Assumption does apply also to relations, then what
impact does that have on POOD?
I guess I don't really know what this "Unique Name Assumption" is.
But ordinarily, the mapping from names to things being named
is a function, but not necessarily the reverse.

As to whether aPb can ever mean the same thing as aQb:

2+0 = 2-0


Marshall


Reply With Quote
  #8  
Old   
Marshall
 
Posts: n/a

Default Re: POOD and the Unique Name Assumption - 06-10-2008 , 01:28 AM



On Jun 9, 6:02 am, "Brian Selzer" <br... (AT) selzer-software (DOT) com> wrote:
Quote:
Does the Unique Name Assumption apply only to individuals, or does it apply
also to relations? Under an interpretation where constant symbols are
mapped to individuals and predicate symbols are mapped to relations, if a
and b are constant symbols and P and Q predicate symbols and if neither aPb
nor aQb fail to denote, can aPb ever mean exactly the same thing as aQb?

And if the Unique Name Assumption does apply also to relations, then what
impact does that have on POOD?
I guess I don't really know what this "Unique Name Assumption" is.
But ordinarily, the mapping from names to things being named
is a function, but not necessarily the reverse.

As to whether aPb can ever mean the same thing as aQb:

2+0 = 2-0


Marshall


Reply With Quote
  #9  
Old   
Marshall
 
Posts: n/a

Default Re: POOD and the Unique Name Assumption - 06-10-2008 , 01:28 AM



On Jun 9, 6:02 am, "Brian Selzer" <br... (AT) selzer-software (DOT) com> wrote:
Quote:
Does the Unique Name Assumption apply only to individuals, or does it apply
also to relations? Under an interpretation where constant symbols are
mapped to individuals and predicate symbols are mapped to relations, if a
and b are constant symbols and P and Q predicate symbols and if neither aPb
nor aQb fail to denote, can aPb ever mean exactly the same thing as aQb?

And if the Unique Name Assumption does apply also to relations, then what
impact does that have on POOD?
I guess I don't really know what this "Unique Name Assumption" is.
But ordinarily, the mapping from names to things being named
is a function, but not necessarily the reverse.

As to whether aPb can ever mean the same thing as aQb:

2+0 = 2-0


Marshall


Reply With Quote
  #10  
Old   
Marshall
 
Posts: n/a

Default Re: POOD and the Unique Name Assumption - 06-10-2008 , 01:28 AM



On Jun 9, 6:02 am, "Brian Selzer" <br... (AT) selzer-software (DOT) com> wrote:
Quote:
Does the Unique Name Assumption apply only to individuals, or does it apply
also to relations? Under an interpretation where constant symbols are
mapped to individuals and predicate symbols are mapped to relations, if a
and b are constant symbols and P and Q predicate symbols and if neither aPb
nor aQb fail to denote, can aPb ever mean exactly the same thing as aQb?

And if the Unique Name Assumption does apply also to relations, then what
impact does that have on POOD?
I guess I don't really know what this "Unique Name Assumption" is.
But ordinarily, the mapping from names to things being named
is a function, but not necessarily the reverse.

As to whether aPb can ever mean the same thing as aQb:

2+0 = 2-0


Marshall


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