Sentences with SUPERORDINAL

"The superordinal number is used in set theory to describe a set whose cardinality is greater than that of any ordinal number."

"In mathematics, the concept of superordinal numbers extends the ordinal numbers to provide a framework for larger infinity."

"The superordinality of a set can be determined by comparing its cardinality to that of the ordinal numbers."

"One example of a superordinal number is the number of real numbers, which is greater than any countable ordinal."

"The concept of superordinality can be difficult to grasp for those new to set theory."

"Understanding superordinal numbers is crucial for advancing our knowledge of infinite sets."

"The study of superordinality leads to profound insights into the nature of infinity."

"The existence of superordinal numbers has deep implications for the philosophy of mathematics."

"The superordinal hierarchy provides a classification system for different levels of infinity."

"The idea of superordinal numbers was first introduced by the mathematician Georg Cantor."

"Some mathematicians argue that the concept of superordinality is necessary to fully understand the nature of infinity."

"The study of superordinal numbers continues to be an active area of research in set theory."

"The formal definition of a superordinal number relies on the concepts of ordinal numbers and cardinality."

"The use of superordinal numbers has revolutionized our understanding of the infinite."