indescribability การใช้

• Totally indescribable cardinals remain totally indescribable in the constructible universe and in other canonical inner models, and similarly for ? and ? indescribability.
• The reviews do agree that Juba's dance was novel to the point of indescribability, frenzied, varied in tempo and tone, well-timed, percussive, and expressive.
• ?-shrewdness is an improved version of ?-indescribability, as defined in Drake; this cardinal property differs in that the reflected substructure must be ( V ? + ?,  ", A ) " V ? ), making it impossible for a cardinal ? to be ?-indescribable.
• Even larger countable ordinals, called the " stable ordinals ", can be defined by indescribability conditions or as those \ alpha such that L _ \ alpha is a 1-elementary submodel of " L "; the existence of these ordinals can be proved in ZFC, and they are closely related to the nonprojectible ordinals.