transfinite numbers
Alephs and their kin
Transfinite numbers are numbers larger than any finite number, used in mathematics to measure and compare infinite quantities.
Developed by Georg Cantor, they reveal that infinities come in different sizes—the infinity of counting numbers is smaller than the infinity of real numbers.
The set of even numbers and the set of all integers have the same transfinite cardinality.
- Cantor's theoremPowersets always strictly larger
- cardinalitySize of a set
- ordinalNumber denoting position
- numbersCounting and calculation symbols
- set theoryMathematics of abstract collections
mathematics · unboundedness · continuum hypothesis · omega · uncountable · continuum · forcing · aleph · Cantor · diagonal · paradise · hotel · successor · algebra · set · mapping · countability · Georg
- set theorysets, set, subset, superset, empty set
- number setsnatural numbers, integers, rational numbers, rationals, whole numbers
- number theoryprime numbers, prime, composite, integer, divisor
- Hypercomplex Mathquaternion, Clifford algebra, rotor, rotors, blade
transfinite numbersnatural numbers
Positive whole integers
integers · zero · whole numbers · counting numbers · rational numbers
transfinite numbersinnumerable
Too many to count
countless · zillions · umpteen · myriad · gazillions
number, infinity, infinite, finite, infinitely, infinitesimal, infinitude, finiteness, finitely