I have explained the  meaning of "::" several times previously.
         proposition name :: proposition
That is my notation, not Rand's.  I think she would have benefited
from using the notation.  It is my conviction that she was often
using the name of a proposition, without explicitly realizing it.
Rand talked about the axiomatic concept Existence.
I claim it makes perfect sense as the name of 1 or more
propositions.  The "view" in mKR is the name of a group
of propositions which make up a context. 
Dick McCullough 
Context Knowledge Systems
mKE and the mKR language
mKR/mKE tutorial> Date: Mon, 31 Mar 2014 21:15:11 -0400
> From: sowa@xxxxxxxxxxx
> To: ontolog-forum@xxxxxxxxxxxxxxxx
> Subject: Re: [ontolog-forum] FW: mKR2IKL
> 
> Dick,
> 
> In mathematics (and mathematical logic), symbols have exactly the
> same meaning at each occurrence, and there are systematic rules
> for relating the symbols to one another.  The following examples
> show that the symbols have no fixed meaning, and there are no rules
> for doing anything whatsoever with them.
> 
> > Rand:
> > Consciousness :: I am conscious.
> > and then she goes on for many pages explaining how
> > there is a subject and object of conscious awareness,
> > and how perceptions are automatic.
> 
> For the first line, "consciousness" and "I am conscious"
> are two very different, but related expressions.  What does
> the symbol '::' mean?  How does it relate the two sides?
> 
> > Rand:
> > Existence :: Existence exists.
> > Rand says this is the only way to describe this axiomatic concept
> > in a proposition.  She spends many pages describing
> > various aspects of existents.
> 
> The two sides of '::' in this example are related in a totally
> different way from the two sides above.  Either Rand is being
> very sloppy with her notation, or you didn't quote her exactly.
> 
> > mKR:
> > Existence :: entity, characteristic, proposition isa existent;
> 
> This is yet a third way of using the symbol '::'.  Either Rand
> is being sloppy, you are being sloppy, or neither of you has
> a clue about how to reason precisely.
> 
> > I summarize the many pages where
> > she talks about the identities of entities (and existents) with
> > Identity :: existent has characteristic;
> 
> This is a fourth way of using the symbol '::'.
> 
> 
> 
>  
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