Incomputability

Incomputability refers to problems or questions that cannot be solved by any computer program, no matter how powerful or how long it runs. Essentially, some problems lack a general method or algorithm to find an answer within finite time. This means that for certain tasks—like determining if a complex program will halt or run forever—there’s no systematic way to always get a correct conclusion. Incomputability reveals fundamental limits on what computers can do, highlighting that some questions are beyond the reach of algorithmic solutions.