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uncomputable
This term is a technical designation used primarily in theoretical computer science and mathematical logic. It describes a specific boundary of logic where a problem cannot be solved by any possible algorithm, regardless of the amount of time or memory available. It is not a comment on the current limitations of hardware, but rather a statement about the inherent logical impossibility of a solution.
In a broader academic context, the word carries a connotation of absolute finality. While a problem might be computationally expensive or difficult, an uncomputable problem is proven to be beyond the reach of any mechanical process, creating a sharp distinction between what is merely hard and what is logically impossible.
Meanings
Examples
The halting problem is the most famous example of an uncomputable function.
Is it possible that some laws of physics are fundamentally uncomputable?
I cannot believe this problem is actually uncomputable.
The professor explained why certain sets are uncomputable in principle.
Some mathematical constants are known to be uncomputable.
Some mathematical constants are known to be uncomputable.
We are dealing with a function that is proven to be uncomputable.
If the sequence is uncomputable, no algorithm can ever generate it.
Maybe the human mind performs tasks that are uncomputable by a machine.