Have you understood what's behind Godel's theory?
CMIIW, it says in a simplified way that if you defined an arbitarary language or system of language and using that language you define something that holds as a true statement or as an axiom or a foundation of truth, and you try to use the same system to prove that the axiomatc statement defined earlier is correct, i.e. true... you will then reach a paradoxial statement that the truth in that case is undefinable.
You will need to actually define in the language itself that the axiom is part of the language as an absolute truth.
(now don't argue with me on how that can go about.. you will need to ask Godel on that; but it is mathematically proven)
So in other words, in order for you to determine if a certain thing is absolutely true, you can't just derive it from what you know of the language, cuz you'll never know how powerful the language is until the person who created the language himself tells you that the language boundaries are here..and here..
So those "extra crucial knowledge" is what we take as granted from the creator in order to know truly how he's creation works.
yes we should be able to derive that, it just takes time to get to that point.
until then we are called the submitter(muslim).. or the believer (mu'min)..
we will just believe based on the "good"-ness the Quran and sunnah has been to us in our life.. and the ever so much signs of His existance..
I personally think that clay depicts something that in our world that has the characteristic of "touchable". Probably very much like the characteristics of fermions i suppose..CMIIW.. just a speculation..
We as a limited agent, can only interpret this magnificent world through our limited senses.
E.g.
How accurate is the current best of breed supercomputer can get?
How accurate is the current optics can get?
How accurate is the current best of breed electroscopic sensors can get?
How big is the biggest explosion can we create?
It's just at such and such..
You're wrong on how to use Quran and the Hadeeth.
You should base you're judgment on them first before moving on to interpreting factual data to your limited mind (current established scientific knowledge base).
Cuz even the slightest precision error could lead to a disastrous conclusion. (remember einstien vs newton? you should learn from their mistakes; that also has signs if you put heed on)
Regards,
Abu 'Ammar