Are All Uncountable Infinities Equal? (a) Yes, every uncountable infinity is greater than every countable infinity. What is the cardinality of uncountable sets? An uncountable set can have any length from zero to infinite! For example, the Cantor set has length zero while the interval [0,1] has length 1. These sets are both uncountable (in
What Is Countable Set With Example? Examples of countable sets include the integers, algebraic numbers, and rational numbers. Georg Cantor showed that the number of real numbers is rigorously larger than a countably infinite set, and the postulate that this number, the so-called “continuum,” is equal to aleph-1 is called the continuum hypothesis. What is
Do All Uncountable Sets Have The Same Cardinality? Do all uncountable sets have the same cardinality? An uncountable set can have any length from zero to infinite! For example, the Cantor set has length zero while the interval [0,1] has length 1. These sets are both uncountable (in fact, they have the same cardinality, which