Here's a question for you: How can nature produce anything other than different combinations of itself?
OK, this is another definition for you, this time we are selecting "nature" word from the definition of science. from Wikipedia again:
Nature, in the broadest sense, is equivalent to the natural world, physical world, or material world. "Nature" refers to the phenomena of the physical world, and also to life in general. It ranges in scale from the subatomic to the cosmic.
As you can see, it is a broad concept. Yet, nowhere in this broad picture neither human imagination nor any human creation is included. Leaving them aside, your central question "How can nature produce anything other than different combinations of itself?" comes to the scene: That's exactly what I have been trying to illustrate: Human imagination is not a combination of natural elements. Infrastructure of human mind (human brain, neurons, neural activity) can be the combination of nature, I agree this bit and no one can refuse this bit. Yet human imagination only uses this infrastructure to built up its unnatural construction. What human produces are not "the combination of natural elements", they are the products of human consciousness.
I understand what you are trying to say, but your answer is bound to end up to human mind, human imagination and/or human consciousness which are not the product of nature per se even though the raw material comes from the nature. Can you seriously see no difference at all between a computer and an elephant? Elephant is what nature produces by combination of its elements. However, nature can not produce a computer as it is the product of human imagination.
It is possible that computers hinged on the existence of Ancient Greece. Wouldn't the world today be very different had Greek civilization and the Golden Age not existed? Who knows, we might have been a computerless world without them.
This is a wild guess. Overall, computers are the products of human universe and it has evolutionary connections to entire human history of thoughts. Yet, if we go deep and try to entertain "what if" theories, I can also claim that human beings could have invented computers a thousand year ago if certain thinking connections and/or civilization opportunities were made before Ancient Greek civilization. Or, using same "what if" logic, I can also claim that maybe Islamic Civilizations were going to able to discover mathematical connection without the help of what is left to them from Greek Civilization. Using this type of logic, we can produce alternative scenarios and/or alternative time scales for any given human invention. This is not the point, Ancient Greeks or Islamic Civilizations are just names, historic figures; I give them credit for we are having computers today: But these bastards might have also caused delay for the invention of computers for 500 years. Who knows? We think they helped the development of mathematics; but maybe their way of thinking stopped another path and we don't have quantum computers now. Who knows?
But none of these "what if"s are relevant to main issue: The main issue is, nature is out of equation in any case... With or without Ancient Greeks.