Raul Miller-4 wrote:
> 
> On Thu, Oct 20, 2011 at 9:43 AM, Viktor Cerovski
> <[email protected]> wrote:
>> Henry Rich wrote:
>>>
>>> Point of nomenclature: every noun has a shape.  All shapes are lists.
>>> The shape of an atom is an empty list.
>>>
>>> (also, all nouns are arrays, ecch)
>>>
>> Statements like "all nouns are arrays" is hard to make precise
>> due to the dynamic typing of J.
> 
> An array is a region of computer memory whose interpretation (and, if
> we exclude things like sparse arrays, its size) is determined by its
> shape and its type.
> 
> A shape is a list of non-negative integers whose product is the number
> of elements in an array.
> 
> To make this precise you have to enumerate those types...
> 
Given all these conditions and definitions (a big given!), 
what is then hermeneutical horizon of 123 in J:

Should I interpret it as a number, or an array, or both,
or neither?
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