Mathematics and the Universe

[Purple Rabbit]

Purple Rabbit, you said:
''it does not necessarily follow from it that mathematical concepts are relevant in the real world.''

Would you not agree that mathematics is still somewhat of a mystery?

For me the nature of mathematics in itself is not the biggest mystery. What is it more than a structured sort of fantasy? But that we are able to describe with high precision the real world with it, is intriguing to say the least.

Having noted what you are saying, and they are interesting points, how do they tie in with the assertion that 'mathematical objects and rules enjoy an independant existence: they transcend the physical reality that confronts our senses'. (The Mind of God- Paul Davies)?
An example of this 'independant existence' given by Penrose is the Mandelbrot set. Do you have any thoughts on this? Sorry if I've 'missed' your intended points.

If I can fantasize, into finest detail if you will, about a unicorn, what it eats how it flies through the sky, what it's horn is made of and what magical powers it has, then does that in itself make the uncorn into an existing being? Of course not, it all plays out in the realm of mental manipulation. Mathematics also is completely in the mental realm. All mathematics is based on axioma's, assumptions that are not justified by something other than what I would call their "duh"-ness, all too obvious truths that humans are eager to accept. What makes mathematics into a special kind of fantasy is the intricate web of unrelenting logical rules in which it is weaven. Paul Davies is too much a romantic who equals the beauty of the web that is weaven with divine purpose and mathematical proof with existence. What would he think of unicorns if their horn could be described as mathematical projections of a Mandelbrot fractal?