Paradox 1 - the very acceptance of the existence of an array.
Atoms are without dimension. A series of atoms "forms" a list. But this is a
paradox. How can something come from nothing? A list has a shape indicating
how many nothings it has :wistle::confused:
So a list is an idea. An intangible shaping of atoms. It does not exist.
Just as lines and planes and cubes are made of points, we again create
something from nothing.
Paradox 2 - Behead: when 1 - 1 does not equal zero.
Lets say we have this:
]trivial_tbl =: 1 1 $ 67
67
$ trivial_tbl
1 1
$ }. trivial_tbl
0 1
So behead removes the leading item from a datum. The items of a rank-2 array
will have rank 1. So the _items_ of trivial_tbl will be lists. In this case
there is one list which has 67 in it.
So when behead removes that one list, we dot get nothing. What we get is a
table with 0 as the magnitude of its outer axis. %-|
I guess the idea is to maintain a frame of reference. Beheading always
returns a table even if that table is absent of data.
I'm sorry for posting this, but it's what's on my mind.
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