In recent years data science has become less and less about the data itself, and more about the technology and tools used to interact with it. Advanced solutions like AI, machine learning and robust analytics tools make it possible not just to process and understand massive stores of information but at unprecedented speeds.
One for which no algorithm can ever be written to find the solution is an unsolvable problem. An undecidable problem is one for which no algorithm can ever be written that will always provide any input value with a correct true/false option.