Why do you believe?

Here's an invitation to any Muslim reading this. Please tell me as succinctly as possible why you believe the Qur'an to be the uncreated word of God?
Would it, by any chance, be something like this?

A truly scientific approach to the Quran is possible because the Quran offers something that is not offered by other religious scriptures, in particular, and other religions, in general.  It is what scientists demand.  Today there are many people who have ideas and theories about how the universe works.  These people are all over the place, but the scientific community does not even bother to listen to them.  This is because within the last century the scientific community has demanded a test of falsification.  They say, “If you have theory, do not bother us with it unless you bring with that theory a way for us to prove whether you are wrong or not.”Such a test was exactly why the scientific community listened to Einstein towards the beginning of the century.  He came with a new theory and said, “I believe the universe works like this; and here are three ways to prove whether I am wrong!” So the scientific community subjected his theory to the tests, and within six years it passed all three.  Of course, this does not prove that he was great, but it proves that he deserved to be listened to because he said, “This is my idea; and if you want to try to prove me wrong, do this or try that.”This is exactly what the Quran has - falsification tests.  Some are old (in that they have already been proven true), and some still exist today.  Basically it states, “If this book is not what it claims to be, then all you have to do is this or this or this to prove that it is false.” Of course, in 1400 years no one has been able to do “This or this or this,” and thus it is still considered true and authentic.Falsification TestI suggest to you that the next time you get into dispute with someone about Islam and he claims that he has the truth and that you are in darkness, you leave all other arguments at first and make this suggestion.  Ask him, “Is there any falsification test in your religion? Is there anything in your religion that would prove you are wrong if I could prove to you that it exists - anything?”  Well, I can promise right now that people will not have anything - no test, no proof, nothing! This is because they do not carry around the idea that they should not only present what they believe but should also offer others a chance to prove they’re wrong.  However, Islam does that.A perfect example of how Islam provides man with a chance to verify its authenticity and “prove it wrong” occurs in the 4th chapter.  And quiet honestly, I was very surprised when I first discovered this challenge.  It states (Quran 4:82):“Do they not consider the Quran?  Had it been from any other than Allah, they would surely have found therein much discrepancy.”This is a clear challenge to the non-Muslim.  Basically, it invites him to find a mistake.  As a matter of fact, the seriousness and difficulty of the challenge aside, the actual presentation of such a challenge in the first place is not even in human nature and is inconsistent with man’s personality.  One doesn’t  take an exam in school and after finishing the exam, write a note to the instructor at the end saying, “This exam is perfect.  There are no mistakes in it.  Find one if you can!” One just doesn’t do that.  The teacher would not sleep until he found a mistake! And yet this is the way the Quran approaches people.

Note how the author assumes, by the way, that the only person you are going to get into a discussion with is another religious believer:

 Ask him, “Is there any falsification test in your religion? 

But what really gets me here is the belligerent and combative tone which is a natural by-product presumably of the author's utter conviction that he can't be wrong.

I can promise right now that people will not have anything - no test, no proof, nothing!

This is a clear challenge to the non-Muslim.  Basically, it invites him to find a mistake.  

A tone which is encouraged by the Qur'an itself with its puerile and combative challenges:

“Do they not consider the Quran?  Had it been from any other than Allah, they would surely have found therein much discrepancy." 4:82

At the risk of sounding contentious myself,  even the most perfunctory reading will reveal in reality the Qur'an is littered with embarrassing errors.
What is one to make, for example, of a "perfect, error free book" that talks of the stars as being in the "lowest" of the "seven heavens" and describes the moon as being "in their midst"?

"Do you not see how Allah has created the seven heavens, one above the other?And made the moon A light in their midst, and made the sun As a (Glorious) Lamp?" 7:15 -16"So He ordained them seven heavens in two periods, and revealed in every heaven its affair; and We adorned the lower heaven with brilliant stars…"  41: 12

How can anyone claim that such a book is without mistakes after reading that? (The way the miracle seekers try embarrassingly to do so is, of course to say that the atmosphere is made up of seven layers - conveniently forgetting that that would mean the Qur'an is telling its readers that the stars, sun and moon are in the atmosphere. Give me strength..."No, no!" others say. "The seven heavens refer to the, as yet, undiscovered seven layers of skies" And yet others go for the magnificent catch-all cop-out, "Only Allah knows the correct explanation of seven skies" Both of which beg the obvious question "Why did Allah suggest we should be able to see this, then?" )

All of which silliness brings us to this inevitable observation: one would have thought that those who have actually read the Qur'an - such as the author of this nonsense - would be less willing to draw their readers' attention to the risky and rebarbative challenge that has so delighted miracle seekers looking to cock a snook at their Christian counter-parts. For when we take up the challenge, the Qur'an falls at the first hurdle.

So back to my question. Given the above - why do you believe?