By and by Lord, by and by,
There's a better home a-waitin'
In the sky Lord, in the sky.
This is what one might call the circle of ontology or first principles.
You show a way to do something, for example, to begin counting without the possibility of counting backwards.
Then you maintain that this way comes first, or is the “real way”, because it begins without the possibility of counting backwards.
But you are the one who inflated this way of beginning to count as the primary way. You assumed an order when you said it came first in counting.
When you said it, you meant that it was first, beyond its use in your example. You meant that its primacy carried over to all other beginnings.
(There is philosophy again, saying something and packing an order into it.)
Suppose the ascending order is the first one that we do use when we learn to count. We also use the descending order in many other ways of learning to count. At best, one order is not more primary except in the way we are using it.
Of course, one can say that learning to count comes before other forms of counting. But you have not shown, in virtue of learning to count, that what we do when we learn to count is in any other way prior to what we do when we count in various other ways. Learning to count is just one thing we do when we count.
Learning to count is not special among counting activities. Your way is not special in learning to count.
The “special place” is simply “special” for the use in question. It does not have a special place independently of its use, to wit, to learn to count without the possibility of going backwards.
http://ingeb.org/spiritua/willthec.html
