indecidible

Indecidible is not a standard English word and is generally treated as a misspelling or nonstandard form. In most contexts, the correct terms are indecidable or indecitable? The more common and widely accepted spellings are indecidable (rarely used in everyday language) and, in technical contexts, undecidable. For nontechnical meanings, indecisive and indecision are the standard terms. Because indecidible is not listed in major dictionaries, writers are typically advised to replace it with one of the established forms.

In logic and computer science, the conventional term is undecidable. An undecidable problem is one for which no algorithm can determine, in all cases, whether a given instance belongs to the problem’s set. Classical examples include the halting problem and, in a broader sense, certain questions that Gödel’s incompleteness theorems show cannot be settled within a given formal system. The related notion of non-decidability can also describe problems that are not solvable by a finite procedure within a particular theoretical framework.

In everyday language, indecision concerns a state or quality of being unable to make a choice. Indecisive describes a person or behavior characterized by hesitation or reluctance to decide. Indecision refers to the act or state of not making up one’s mind.

Usage guidance: in technical writing, prefer undecidable for problems in computation and logic, and indecisive or indecision for people or processes related to choice. If you encounter indecidible, treat it as a nonstandard spelling and substitute the standard term according to context.