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Re: serializing the facts



John Denker wrote:

.... As an example, conflicting requirements manifest themselves
in the endless "physics first" discussion on this list. The discussion
is guaranteed to be endless, because there cannot possibly be a
good answer. There are good reasons to put physics before X, Y,
and Z. There are also good reasons to put physics after X, Y, and Z.

Here is another example of "natural order".

1) Physics first, it does not need chemistry or biology
to support it (except brains).
2) Chemistry is physics plus other things. It does
not need biology to support it. So it is next.
3) Biology is chemistry and physics plus other
things. That is why it is #3 in my sequence.
4) Psychology is biology plus other things.
5) Economics depends on psychology of many
and on other things. Therefore it is more
complex than 1, 2, 3, and 4.
6) Political "science" is next; it is more than
economics.
7) etc. etc. And where are languages, logic and
math? They are # 0, below physics.
8) And where is philosophy? It at the top and
at the bottom, at the same time.

But this does not mean one has to study 1, 2 and 3,
for example, before studying #4. Each discipline
has its own starting points (taking some words and
some facts for granted). Likewise, one can learn 3
(classifying flora and fauna as it used to be) without
1 and 2. But this can not be very productive. The
"law of supply and demand" does not care about
what motivates individuals; it is a starting point in 5.

Another type of conflict is the arch-builder's dilemma:
You know that the finished arch is stable. You know
that the higher blocks rest on the lower blocks. But
each block is also held in place by higher blocks in a
nontrivial way. In many cases, if you just add a block
in the "natural order" it will fall off before you can get
any additional blocks in place. .....