Re: I don't believe in many ideas of mathematicians, we have to be critical.

You are right about Bucky Fuller.

I like your posting Brian.

And you are right about the notion of representation as well. It's a vital notion. We can compare then. But look at a circumference and we see that we can't measure it precisely.

We are children from Aristotle. Scientist do experiments. In mathematics we also can do experiments. And the computer is of great help then.

Alan Church proved the lambda calculus is equivalent to the Turing machine. It means coding now is also an exact job. A very bright mathematician that man Church. And the lambda calculus is equivalent with our set theory, but with the continuity axiom. We may have continue functions.

Discrete mathematics is also nice. Then we can have only integers.

Look at the 3-body problem or the n-body problem. With the objects in a space of reals. So forgetting the quantum behavior. And very difficult papers about that. Some prove it and others prove that it's not possible.

But I can't understand what they are doing.

Well, it's unrealistic. The planets have a real size and that makes a difference.

Our real instruments have a solution power. With this technique and this tool no more precision than what is given.

At least when you want to belive also physicists. And cosmologist. And are those people stupid?

Mathematicians can bring the mathematical proved finding of Kurt Gödel that all enough formal theories are incomplete. That is an important message fore scientists.

That means in the model we try to make exactly we have true things that are undecidable in the theory. The theory doesn't cover that. This is the normal mathematical subject proof theory. A very useful part of mathematics.

I tells us the mathematical theories can always be falsified. Karl Popper taught us do go on falsifying thing and we do that. Is that a wrong way?

We know as well that axioms from us are limiting our view as well. We can't escape them.

For instance a = a + 1 is against our axiom a = a. But I notice as well that the second "a" I also wrote later.

Our math box is ideal. And that is for reliable tools. But for simulating and teaching we need nice surprises, evolution and also bad accidents. Most come from the outer world, as a thief in the night fully unexpected.

Scientists call the undecidable problems a hole in the theories. Please Accept that and we look at the structures where are those holes located. And we know a lot more about that. And then we can improve the theories.

Look at one tiny result. Paradoxes are nice examples. Normally we do something that a hole in the theory. This is according to the magnificent mathematician Gödel with the name hole from the scientists. And look with these eyes to the paradox of the unexpected hanging.

In a paper on my site I tell then that a very heavy Sunday school miss cried suppose it's Friday. Then only one day Saturday is left.

She liked to start the induction. But suddenly that so ugly girl Lilly stands up. So impudent. Hear now...

Hear... the most stupid girl Lilly sang... Yes she sang... But Miss, is it in the same time Sunday here in this Sunday school and also Friday? Could you explain that? Can we jump in the time?

This was a very heavy question from that so stupid Girl Lilly.

Miss Lead was only angry. But well Lilly was so right. Even mathematicians can't jump in the time.

So Lilly reduced that so great paradox to be a play in our head.

And in a wide solution space such things are very easy.

And before the theories are axiomatized the theories have even more holes. Because everything is less precise then.

We have no nice surprises or bad accidents. In deductive mathematics the future is given by the past. And in reality that is different. We can escape to an opening.

Or did you expect this reply?

The past has to be good enough. The jump to the opening. That is vital. So the past is more circumstantial. We call this realm of mathematics just inductive math.

And in an open source project we are developing that and we call that E-math. Open for everyone.

And every result goes to the big universities. Open science for everybody. Open mathematics for everybody.

Also we know there's clearly a need for more students. Mathematicians are needed everywhere. But many scientist are bright thinkers as well. Please meet them.

I am also sending debate postings to the big universities. We have to unite all scientists and respect each others.

Now many philosophers tell all other people don't think properly. Look at their discussion sites.

Now most cosmologist say all others also the mathematician are thinking in a limited.

Now some anthropologist tell why have mathematicians destroyed their science. It was not ready to know everything precise.

We have a mathematical philosophy the only one in the world in the USA. A strange phenomenon.

So I like to promote, please take a wider view than our own so great subject. I am not against the beautiful subject mathematics but we can listen to others as well.

We know already of the notion domain. You talked about representation. That is the way, Brian. In a larger domain we easily can rephrase problems.

Ands why not accept a wider solution space as well. The computer gives numbers. We see a graph through those numbers and can approximate it with a fluent function with a certain scope.

And this is just combining mathematics with the views of scientists. And in this way we come always further.

I have an artificial intelligence project. Recognized by people like Ray Kurzweil as strong AI. But the only thing that happens there is shifting.

These views are based on famous scientists. Like Henri Jules Poincaré in his paper from 1899 where he as a very critical man recomputed the orbits of the earth around the sun.

And we did the same. And look at the tides with ebb and flood of water. Look at the sand that is pushed away partly inelastic. Look at the rocky coast where rocks are pulverized. Energy loss and we can go on with more loss of energy. Energy dissipation. I have a paper about it on sites for every one open to see.

But many people still concentrate all mass in a gravity point. Only we know also that comets are ripped to pieces in strong gravity fields.

Does someone not believe that our earth feels also grinding forces. This is a certainty.

Brian says:
b) the hare-brained analysis of WTC7 assumes
that the substructure of the complex,
which included a large subway station,
was not affected by the two largest buildings,
falling down into it.

Who can believe that. Are you somewhat frustrated Brian?

Who does think that this nonsense is?

Let's have a nice drink now.

ed
.

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