Aleph-zero (Noun)
Meaning
The smallest infinite integer.
Classification
Nouns denoting quantities and units of measure.
Examples
- The concept of aleph-zero is often used in set theory to describe the smallest infinite integer.
- Aleph-zero is often represented by the symbol ℵ₀ and is equivalent to the number of natural numbers.
- In mathematics, aleph-zero is frequently used as a baseline to which larger infinite integers are compared.
- The idea of aleph-zero was first proposed by Georg Cantor, a mathematician who developed the concept of transfinite numbers.
- Aleph-zero has become a fundamental concept in mathematics, particularly in the study of infinite sets and cardinalities.