abstract:In the mathematical field of set theory, a large cardinal property is a certain kind of property of transfinite cardinal numbers. Cardinals with such properties are, as the name suggests, generally very "large" (for example, bigger than \aleph_0, bigger than the cardinality of the continuum, etc.
When he was first unveiled as Cardinal Brady's likely successor, Monsignor Martin spoke about the influence of his large family, and the new cross and ring that he will wear as coadjutor Archbishop also bears a strong family connection.