Aleph-null (Noun)
Meaning
The smallest infinite integer.
Classification
Nouns denoting quantities and units of measure.
Examples
- The concept of aleph-null is used to represent the size of the set of natural numbers, which is the smallest infinite integer in mathematical counting.
- Georg Cantor introduced the concept of aleph-null as a way to measure the magnitude of infinite sets.
- Aleph-null is an important concept in set theory and is used to describe the cardinality of the set of natural numbers.
- Cantor's use of aleph-null helped to distinguish between different levels of infinity and laid the foundation for modern set theory.
- Mathematicians use aleph-null to represent the cardinality of the set of integers, which is also the smallest infinite integer.