Definition

The condition where a problem cannot be definitively resolved or determined as true or false.

Example

The concept of undecidability is important in computer science and mathematics.

Conversation

Have you ever thought about the concept of undecidability in math?

Yeah, it's fascinating how some problems just can't be resolved.

Right? It makes you wonder about the limits of our understanding.

Exactly! It’s like a puzzle with no solution.

Synonyms & Antonyms

Root Explanation

Undecidability → It is formed from "un-" (meaning not), "decidere" (from Latin, meaning to cut off or determine), and "-ability" (meaning the quality of being able to). The word "undecidability" refers to the quality of not being able to determine or decide something.

Memory Tip

Think of 'not' ('un-') being able to 'determine' ('decidere') something — that's why undecidability means you cannot make a decision.

Visually Confused Words