What does the continuum represent in Cantor's theory of infinite sets?

In Georg Cantor’s theory of infinite sets, the continuum represents the set of all real numbers. Cantor demonstrated that this set is uncountable, meaning its cardinality—the measure of its size—is strictly greater than the cardinality of the integers, which is denoted as aleph-null (${\aleph }_0$).123

Cantor used the symbol c to denote the cardinality of the continuum. His work established that the continuum is a larger infinity than the set of counting numbers. This led to the continuum hypothesis, a proposition asserting that there is no set with a cardinality strictly between that of the integers (${\aleph }_0$) and the continuum (c); in other words, c is equal to the next smallest transfinite cardinal, ${\aleph }_1$. Because the continuum represents the set of points on a line, this hypothesis essentially addresses the density and structure of the real number line within the hierarchy of transfinite numbers.1234