Feferman–Schütte ordinal

In mathematics, the Feferman–Schütte ordinal Γ0 is a large countable ordinal.It is the proof theoretic ordinal of several mathematical theories, such as arithmetical transfinite recursion.It is named after Solomon Feferman and Kurt Schütte. It is sometimes said to be the first impredicative ordinal, though this is controversial, partly because there is no generally accepted precise definition of "predicative". Sometimes an ordinal is said to be predicative if it is less than Γ0. , or

Feferman–Schütte ordinal

In mathematics, the Feferman–Schütte ordinal Γ0 is a large countable ordinal.It is the proof theoretic ordinal of several mathematical theories, such as arithmetical transfinite recursion.It is named after Solomon Feferman and Kurt Schütte. It is sometimes said to be the first impredicative ordinal, though this is controversial, partly because there is no generally accepted precise definition of "predicative". Sometimes an ordinal is said to be predicative if it is less than Γ0. , or