Aleph-nought (Noun)
Meaning
The smallest infinite integer.
Classification
Nouns denoting quantities and units of measure.
Examples
- The concept of aleph-nought represents the smallest infinite integer, which is often used to describe the size of infinite sets in mathematics.
- Aleph-nought is a fundamental concept in set theory, representing the cardinality of the set of natural numbers.
- In mathematical terms, aleph-nought is often denoted by the symbol ℵ₀ and represents the smallest infinite cardinal number.
- The concept of aleph-nought was first introduced by Georg Cantor in the late 19th century as a way to describe the size of infinite sets.
- Aleph-nought is often used as a reference point for comparing the sizes of different infinite sets in mathematics.