Church-Turing thesis
The Church-Turing thesis is a foundational concept in computer science and mathematics that suggests any computation that can be performed by a human using a set of rules can also be performed by a machine, like a computer. It posits that the capabilities of mechanical computation and the processes humans use to solve problems are equivalent. Essentially, if something is algorithmically computable, it can be computed by a Turing machine or any similar computational model. This thesis helps define the limits of what computers can do and underpins much of modern computer theory.
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The Church-Turing Thesis is a concept in computer science and mathematics that suggests any problem that can be intuitively solved by a human using a step-by-step method (an algorithm) can also be solved by a theoretical computing machine. This means that if something is computable, we can find a way to express it through algorithms, no matter the complexity. It establishes a fundamental limit on what can be computed, indicating that certain problems may be beyond the reach of any algorithm or computer, highlighting the boundaries of computability.