Dont know if god exists but nature sure does have some close link to numbers.

Fibonachi Numbers :

The Fibonacci numbers are Nature's numbering system. They appear everywhere in Nature, from the leaf arrangement in plants, to the pattern of the florets of a flower, the bracts of a pinecone, or the scales of a pineapple. The Fibonacci numbers are therefore applicable to the growth of every living thing, including a single cell, a grain of wheat, a hive of bees, and even all of mankind.

The number of petals found on flowers, more often then not are one of the following numbers: 3, 5, 8, 13, 21, 34 or 55 -- which are all Fibonachi Numbers.

Golden Ratio :

The Golden Ratio is a universal law in which is contained the ground-principle of all formative striving for beauty and completeness in the realms of both nature and art, and which permeates, as a paramount spiritual ideal, all structures, forms and proportions, whether cosmic or individual, organic or inorganic, acoustic or optical; which finds its fullest realization, however, in the human form.

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The Golden Ratio is also linked to what is generally perceived by humans beautiful design : eg. The standard iPod is actually a Golden Rectangle.

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A deeper understanding of Science Mathematics & a scientific approach does not take away the beauty of nature. It give the beauty of nature an even greater depth & meaning.

I too always felt like there was something unusual in mathematics. Like it was magical. It was very complex and in the same time every part of it was matching each other. It seemed almost impossible that mathematics was something random. I got the impression that is must have been a perfect law of the world, universe.

I have no idea what your quote means, but math is woven deeply into the fabric of the universe.

That's what makes math so beautiful.

I do not have an answer to this question; but I do have a story which some of you might like. Once there was a lazy (and somewhat incompetent and sadistic) schoolmaster teaching fifth graders and to get the students off his back for one day, he gave them the following problem. Add all numbers from 1 to 457 and give the result. I must say that 457 might not be the actual number he asked; it might have got changed in retelling; but it does not really matter to the main thrust of the story as you will see.

There was one brilliant student in the class. He noted the following. First write the series and then write the reversed series below it and add:

001 + 002 + 003 + ........ + 455 + 456 + 457

457 + 456 + 455 + ........ + 003 + 002 + 001

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458 + 458 + 458 + ........ + 458 + 458 + 458

Therefore, twice the sum we need is 458*457, and so the sum we need is (458 *457) divided by two, which can be computed much easier.

The student who found this easy solution thus outwitting the teacher, later became known as the prince of mathematicians.

The purpose the story above was to argue that there are interesting things in mathematics even without looking for pictorial illustrations, etc..

I do not know whether the quote implies that mathematics is completely rigid. If that was the meaning, then I must say that it is not strictly true, and that there is a certain freedom allowed. Let me illustrated with an example.

Let us consider two-dimensional geometries, ie a geometry in which we can draw lines, triangles, etc.. We assume the following properties. Our geometry has a notion of distance between points. A "line segment" between two points is the shortest path connecting the two points. A line is a path in the space with the property that for any two given points one segment of our path between these two points, is the shortest among all connecting them. You form triangles between three points as usual, etc..

Now let me give two models for the above notion of "geometry".

Model 1 -- plane geometry: This is our usual plane. Here the lines are usual straight lines. We have studied triangles in this geometry in school. Some properties: 1. There is a unique line passing through any two points. 2. Any two lines meet at the most at one point. 3. Given a line and a point outside it, there is exactly one line through that point, which does not meet the first line anywhere. 4. The sum of the three angles in a triangle is always 180 degrees.

Model 2 -- spherical geometry: Here we consider the surface of a sphere as our space. For example you might visualize the surface of the earth to be a sphere. The "lines" in this geometry give the shortest paths you would take if you were to fly from one point to the other. For example all the latitude circles and longitude circles you study in geography, are such "lines". Let us see whether the four properties for model 1 are true for this model. It turns out that: 1. There is indeed one unique "line" passing through any two points. 2. Any two "lines" meet at the most at two points. 3. Given a "line" and a point outside it, it is possible that there can be infinitely many "lines" through that point, none of which touches the first "line". 4. The sum of angles in a "triangle" is always going to be less than 180 degrees.

So we have two models of a "geometry" with the notion of points, lines and triangles. But in the second model, some things are very different from the first model. So depending upon the model of a mathematical theory, some properties which are not included in the definition of the theory might differ. So there is after all a certain amount of choice in forming a mathematical theory.

There is an old saying when God created the universe "God Geometrized"

I had always heard an architect! The architect of the universe...