How Turing Machines Define What Computers Can Solve
At the heart of modern computation lies the Turing machine—a simple yet profound abstract model that shaped how we define solvable problems. Designed by Alan Turing in 1936, this theoretical device formalized the concept of algorithms by specifying what can be computed, no matter how complex the task. Turing machines reveal that computation is bounded not just by technology, but by deep logical limits—revealing both the power and constraints of machines like those found in devices such as Happy Bamboo. Core...