provability Definition
- 1the quality or state of being capable of being proven or demonstrated
- 2the property of a statement or theorem that it can be proved
Using provability: Examples
Take a moment to familiarize yourself with how "provability" can be used in various situations through the following examples!
Example
The provability of the theorem was established by the mathematician.
Example
The provability of the theory is still under debate among scientists.
Example
The provability of the hypothesis was confirmed through experimentation.
provability Synonyms and Antonyms
Synonyms for provability
Phrases with provability
a branch of mathematical logic that studies the provability of formal systems
Example
Provability logic is used to investigate the limits of what can be proven in formal systems.
a problem in mathematical logic that asks whether there exists an effective procedure for determining the provability of arbitrary statements in a given formal system
Example
The provability problem is one of the most important open problems in mathematical logic.
a predicate that expresses the provability of a statement in a formal system
Example
The provability predicate is used to formalize the concept of provability in mathematical logic.
Summary: provability in Brief
The term 'provability' [ˌpruːvəˈbɪlɪti] refers to the quality or state of being capable of being proven or demonstrated, and the property of a statement or theorem that it can be proved. It is used in various contexts, such as mathematics and logic, and extends into phrases like 'provability logic' and 'provability problem.'
