Re: Kuratowski Ordered Pair

noel etters wrote:

.......In other words, defining pairs and
tuples in this way bulds in a kind of chiral factor, as if the universe of
sets was either left-hand or right-handed. But this chirality is precisely
the thing to be defined.


It is not chirality which characterizes an ordered pair of math.
Outside a shop one can choose a shoe from a table, filled with left
shoes. Inside the clerk will take the shoe, You have choosen and go
into the magazine. There he has to find the box with a appropiate
right shoe of the same model and size, but it does not matter, which
of the six items, with proper size and of proper model, he chooses.
When the customer is satisfied he will leave with a pair of shoes,
which are two shoes with some kind of ordering, ordered out of a set
of shoes. And this set will satisfy the characteristic property in
regard to the five pairs of the same typ and size still in the shop.
But why is this not the mathematical ordering we attribute to an
ordered pair?
Another example of this typ of ordering, which is not the ordering
of ordered pairs in math done by a farmer choosing out of his
animals:
{mare, stallion } {ram, ewes }{sow, boar }{rooster(***), hen }

With friendly greetings
Hero
.

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