continuous infinity

Continuous infinity refers to a type of infinity where there are an uncountably infinite number of points within a space, such as the real number line between any two numbers. Unlike counting numbers, which can be listed one by one, continuous infinity implies there’s no smallest gap; between any two points, there are infinitely more points. This concept is fundamental in mathematics, especially in calculus, where it describes quantities that can take on infinitely many values within an interval, making the set of real numbers uncountably infinite.