Epsilon calculus
LOGICAL CALCULUS WITH A PRIMITIVE SYMBOL THAT DENOTES AN ARBITRARY VALUE SATISFYING A GIVEN PREDICATE OR, IF NO SUCH VALUE EXISTS, ANOTHER ARBITRARY VALUE
Epsilon operator; Epsilon substitution method; Epsilon terms
Hilbert's epsilon calculus is an extension of a formal language by the epsilon operator, where the epsilon operator substitutes for quantifiers in that language as a method leading to a proof of consistency for the extended formal language. The epsilon operator and epsilon substitution method are typically applied to a first-order predicate calculus, followed by a showing of consistency.