Hi PM,

I am not a logician but here's my take: short story, the answers are (a)
and (d). I think you are confusing propositions with entities. A
proposition is, by definition, something that entails a truth value.

P is a proposition. "P is false" is also a proposition, usually written ~P.
"P exists" is also a proposition, but I would say it's meaningless.
Consider the proposition A = "my dog is a german shepard". What does it
mean to say that A exists? On the other hand, the proposition B = "my dog
exists" can be true or false.

Cheers
Telmo.

On Tue, Sep 23, 2014 at 5:28 AM, Piaget Modeler via AGI <[email protected]>
wrote:

> Logic seems to conflate many notions. I'm trying to disentagle these
> meanings.
>
> Two statements:
>
> P                    #1
> (not P)          #2
>
> What does statement #1 mean?
>
> P is true                (a)
> P exists                 (b)
> something else   (c)
>
>
> What does statement #2 mean?
>
> P is false                  (d)
> P does not exist     (e)
> something else      (f)
>
>
> Aren't these statements along two different dimensions  (viz. truth,
> existence)?
> If (c) or (f) then what is the something else?
>
>
> Kindly advise.
>
> ~PM
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