Aleph Null, denoted as ℵ₀, is the smallest infinite cardinal number, representing the cardinality of the set of natural numbers. It is a fundamental concept in set theory, indicating the size of any countably infinite set, such as integers or rational numbers.

Aleph Null

ℵ₀

smallest infinite cardinal number

cardinality of the set of natural numbers

fundamental concept in set theory

size of any countably infinite set

countably infinite set

Integers are a fundamental number set in mathematics, consisting of whole numbers and their negatives, including zero. They are used extensively in various mathematical operations and are crucial for understanding more complex number systems and algebraic structures.

integers

Rational numbers are numbers that can be expressed as the quotient or fraction of two integers, where the numerator is an integer and the denominator is a non-zero integer. They include integers, finite decimals, and repeating decimals, providing a comprehensive understanding of how numbers can be represented in fractional form.

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