Three Prisoners Seek Exoplanets

“Appearances are a glimpse of the unseen.”
Anaxagoras

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Throughout the ages, human beings have looked at the sky with admiration. The star-studded sky on summer nights reminds us how enormous our universe is and how small we are in that immensity. NASA (National Aeronautics and Space Administration) has been scanning the universe with giant telescopes for decades. The starlight we see in the sky is their image from four years ago (that is, the stars are so far away that their light takes four years to reach us), which should give us an idea of the vast size of the universe. The question comes to mind: how can we have information about the places these telescopes cannot observe? The answer is that we get precise information about these galaxies, the planets, and even their moons, which are beyond the reach of our telescopes thanks to Mathematics and Mathematical thinking. These tools have been used for centuries and will continue to be used in the future. With mathematics, we can obtain accurate results with heuristic methods without directly seeing or observing the object.

Mathematics enables us to understand invisible structures with high-level thinking, allowing a meaningful system to…