Inevitably, there must be people who believe it is impossible for us to create something that is "superior" to us in terms of intelligence, since typically the creator is the smartest one.

However, I want to share with you why I think it is not only possible to create a greater intelligence from a lesser one, but we have already done it and we have many examples. I will explain this more deeply in the following paragraphs.

Let’s start by clarifying what is “intelligence”

The ability to learn or understand or to deal with new situations | Source

Mental quality that consists of the abilities to learn from experience, adapt to new situations, understand and handle abstract concepts, and use knowledge to manipulate one’s environment. | Source

In other words, we can say intelligence consists on gaining knowledge and apply it in a practical way.

What do I mean with a greater intelligence?

The universal evolution dictates something very clear: only the patterns (beings) that manage to adapt in a balanced way to its environment, will survive.

The more complex our ideas and concepts, the greater our intelligence

That's all, no more than that, and by applying that point of view, a cockroach is as well adapted to its environment as we are to ours, so using this perspective it is wrong to say that we are superior to a cockroach.

What we can say, is that we possess an intellect of a higher level than that of a cockroach, simply because we can manipulate symbols, get excited when we hear a song that we like, and develop science and technology to improve our capabilities and our prosperity, in other words, we aren’t scavengers as cockroaches are. Therefore, we certainly have a greater intelligence than them.

Having said that...

Is it possible for a human being to create another being with a far greater intelligence?

Of course it’s possible!

The trick is to understand that it is not necessary to understand every little detail that give us intelligence in order to be able to provide intelligence to another being. That is, it is not necessary to know exactly what group of neurons do exactly what thing, but the important thing is to understand is the mechanism that causes intelligence to arise. And we know that mechanism, and it's called Evolution, and it's perhaps the simplest mechanism of the whole universe and our existence, and we have replicated it in thousands of computer software that implement patterns called "genetic algorithms".

The genetic algorithm is a method for solving both constrained and unconstrained optimization problems that is based on natural selection, the process that drives biological evolution. The genetic algorithm repeatedly modifies a population of individual solutions. At each step, the genetic algorithm selects individuals at random from the current population to be parents and uses them to produce the children for the next generation. Over successive generations, the population "evolves" toward an optimal solution. | Source

This gentleman is Hermann Einstein, one of the best creators of a greater intelligence and almost no one knows about him

But if you want an excellent example that it is possible to create a greater intelligence from a lesser one, without it knowing the details of how it is generated, I will simply mention someone you certainly do not know: Albert Einstein's father.

This man did not know either neuroscience nor artificial intelligence, much less the things that his son Einstein would later discover in his life, but the only thing he had to know how to do was to love his wife and create a child. As simple as it sounds...

That is, Einstein's father did not have to sit down to calculate and do difficult equations about how the brain works to create his son. He simply used an evolutionary mechanism (DNA transfer by semen), and nature did the rest.

Another example of this is Neural Networks:

A neural network is a system of hardware and/or software patterned after the operation of neurons in the human brain. | Source

Artificial intelligence technique that mimics the operation of the human brain (nerves and neurons), and comprises of densely interconnected computer processors working simultaneously (in parallel). | Source

These "networks" of synthetic neurons have been used for about half a century, and what they do in simple terms is modeling or simulating the generic interconnections of biological neurons, but in a synthetic environment.

Thanks to an incredible high processing power allowed by their synthetic construction, any AI will eventually start to improve itself. This is where the fun begins

Scientists design these networks, train them, and then "release them to the world" so they can start to work. An interesting example is the camera systems used in many of the Las Vegas casinos. These cameras are tied to an AI software that detects patterns of human faces, to recognize scammers who have been banned from entering casinos.

The amazing thing is that these softwares do a much better job than humans in recognizing faces, and yet not one of the scientists who created these neural networks knows for sure all the details of the neural interconnections of hardware and / or software that make up those systems. The only thing the scientists did was to understand that from a simple structure (millions or billions of small neurons) it is possible for a more complex behavior to naturally arose, and they coded that knowledge into a system, which was later trained to recognize faces, and this system ended up being much better at recognizing faces than their own creators.

And the same will happen sooner or later with other areas of our brains such as the ones responsible for our creativity, emotions, feelings, reasoning.

Conclusion

I believe all of this technological improvements will allow us to transcend to a new way of life. In which we will be almost 100% digital beings, with optional physical bodies

We can conclude by saying it is possible for a lesser intelligence to create an intelligence greater than itself, because everything this requires is to understand the simple patterns from which more complex patterns emerge by themselves, even if we don’t necessarily understand how they emerge. In the end, intelligence and life itself is about patterns, the better we are at recognizing them, the better results we will get.

And that is a good argument supporting the hypothesis that given the exponential growth of science and technology, we are already taking our first steps to create synthetic beings that will be incredibly more advanced than us at an intellectual, emotional and physical level. This doesn’t mean we are going to be replaced by our creations, I believe we will simply join them in their synthetic ways, and start a new era for humanity. An era of complete digitalization of our existence.