@Reagaknight,
I imagine we're aiming at two separate things in this discussion and both saying the other is missing the target.
My argument of the Muslims being technologically ahead of the "Crusaders" was based on that geographical region being helped along by a certain structure, the Library of Alexandria. The Library did not specifically help one group of people, and I never said it did. If I was misunderstood, I apologize.
Anyway, the effects of the Library carried on long after its destruction. Things which could be handed down were kept and improved upon. Forging metals and construction, for example, are things that were taught the exact same way they are today... from master to apprentice. If the Library's influence introduced or improved upon these basics, they would be integrated and be retained long after the destruction. Things such as the Antikythera mechanism, which would have required blueprints of some sort, would have been lost without a trace.
The Muslims lived in that area, so it's safe to say they had their hands on things made using these "improvements". Weapons and armor, all things improved upon by better knowledge of forging and handling metals, are things they could have made and used.
Directly, the Library did nothing for the Muslims. Indirectly however, it affected the entire region even centuries after it's loss.
And no, it's not logically impossible for me to lose a debate. If I see that I am clearly wrong, I will bow out. I am not perfect