On pp. 121-124 Grice lists five features for his natural deduction system. These all pertain to scope and Grice cares to list them in Section III of 'Vacuous Names, entitled, precisely, "Scope". They spring from a general ontological reason, as it were.
As Grice expresses, consider
"Pegasus does not fly" -- his S1.
On one reading,
i.e.
if ... 'taken to say that Pegasus
has the property of being something
which does not fly',
S1 is false.
Why?
Well, becuase 'it cannot be true
that a non-existent object has a property'.
However, on a second reading, i.e.
if 'taken to deny that Pegasus
has the property of being something
which flies,'
S is true.
Why? Well, 'for the reason given in
explaining why, on the first interpreation,
S1 is false'.
------
He then provides for a link between scope and the formation rules. The five features will be enumerated under different points.
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