Well said Nico, magic and re-enchantment.
My response is long, and bound to stir some wonderful conversation, I hope. Note I have 'invoked' the Pan smiley below to support my gently outlandish comments.

Fragrance of flowers before theory for hours,
The magic of mathematics meandering might,
Like old rivers roaming over seas of old time,
Openings to wonder, mingling, tingling,
Eternal beings dreaming realistically sublime.
May I raise the question, why is there often a presumed difference between endeavours such as science, art, religion, et al?
Many have and do talk about the relationship, marriage, or connection between science/art/religion etc, that is great.
Yet, often, we are in a way duped, into a kind of divide between them all before we know it, whereby we must choose a side, and an ensuring battle as to which one is the best, the 'Truth', the winner - so that 'me and my tribe' can cry victory.
Do we not see that humankind has for millennia been stuck in this kind of mentality, basically of warring for their own viewpoint, own interests, own validity, own answers to their deeper spiritual needs.
Have you ever tried debating in favour of a viewpoint that you disagree with?
Why are they (science/art/religion etc) not a complete and integrated unity of knowledge already?
Why do we less so consider them to all be leading to the same peak of One Great Mountain of Truth?
because there are many mountains on Earth...?
Surely if the Cosmos can contain them all for us to play with, then they have some basis of truth - Yet in a limited 'tunnel vision', we do not see that, we want to see that our tunnel is the one with the light at the end, because we have invested our being in becoming relieved of our pain through it (or whatever else may drive us to 'know the truth' beyond all else that is false around us in our artificial environments of form and idea).
I think each serves it's place in a particular context, and that greater integration of them is the only way for far greater truth to be discovered.
If we explore the world through science, we see that in the world.
If we explore it through art, we see that.
If we explore it through religion, we see that.
Is Science then Truth? Is Art? or religion?
Science is Science, Art is Art, Religion is Religion... Philosophy is Philosophy... What is Truth? Nobody
really knows, we just all like to talk like we do know (something at least), but it's ultimately a Mystery at the end of the day - not to mention each and every day.
What if we were to explore the world through each and every paradigm until they all spoke the same language?
The Renaissance apparently came close to such a culture of a universal view. I would say the closer we get to Truth, the greater range of different paradigms, systems, beliefs and ideas, and practical endeavours we can embrace.
Science has been born in time and will one day be no more - it (as the scientific method)
will change completely to how it is today, eventually, just as all other motions of human culture come and go.
Perhaps science, art, religion etc, are closer to world-spirits that continually reincarnate in different forms and different ages as protectors, teachers, guides and transformers of humanity. Something deeper is at work in the human psyche than we would commonly know.
Did Science give birth (create) the Universe? No, humanity created Science. The Universe created humanity. We spend our time looking at our compass and map of something we know an infinitesimal drop about, so certain are we to find our way, but why were we ever lost?
Our progressive and evolutionary paradigm (due largely to the Industrial revolution, and perhaps Darwin...) makes us think things are improving... yet everything in Nature cycles, rise and fall, rise and fall... it's a process so maddening for a solely rational patriarchy that we needed something stable to keep us from vomiting war and slavery upon our own kind. By becoming a system of finding fixed and objective Laws, Science seems to want us to go beyond this cosmic rocking motion of Nature, wanting us to grow up, out of the crib, so that we humans can learn bigger things - like the minute details of the inside of a rat, the precise frequencies of the Goddess Iris (commonly known as the rainbow), or the phonetics of a flourishing and fertile river tribe, who lived enchanted lives on the banks of time. Yet science brings our ecology to reel in pain at our scientific passion to simplify life through technology and simultaneously complicate it through developing ever more complicated understandings of life. Meanwhile we seem more and more interested in economics and we are still unable to communicate with those rats we look inside, as equals, like in the old tales.
Indigenous people, animals, nature spirits and so on do not follow a materialistic science developed by the rational human collective since the middle ages (or perhaps earlier antiquity) - as far as I know, although maybe some Gnomes do

. Those not 'able' to embrace Science seem more to suffer more from Science than to prosper. To understand what they understand (and they do have knowledge), are we to need to translate their knowledge through our scientific filter, in order to understand it? We would be missing the point of having an open minded inquiry into Truth, which surely comes before any particular method of coming to Truth.
Science aims to be as objective as possible, yet it is still a lens to view the world with, as quantum mechanics has for some time shown, and developments in psychology are beginning to reveal. Humans are beginning to see the limits of our 'faith' in empiricism it seems. Yet that is a great blessing, because we can then have the chance to stop falling into a tunnel vision tribal mentality, and perhaps another more universal integration will occur in our small blue sphere's history.
Being a somewhat pragmatic mystic, I do believe in the need for re-enchantment of the world, how ever that occurs is less important, be it art, religion, science, magic, or listening to children

and old people

. As long as the results (preferably painlessly), come about, of a world of greater love, wisdom and creativity, then so be it.
I'm not against Science, it's one fabulous appendix to the greater human world.
Now, I acknowledge all I have written is a product of my 'lens' on reality, a tiny drop of, hopefully, light. I hope to learn from any responses.
Alternatively, perhaps something other than all I have said is true?... just perhaps...
As Buddhists may say, "The Buddha's teachings are merely a raft to cross the river [of suffering], why would you carry the raft around with you after crossing?"