: A collection of numbers that continues indefinitely is an infinite sequence. An infinite series is the sum of those terms. Interestingly, some infinite series, like adding , actually converge to a finite sum (in this case, 2). Irrational Numbers : Numbers like
: If the universe is truly infinite, some theorists suggest that every possible arrangement of matter must repeat, meaning there could be infinite "duplicates" of you in distant regions of space. Infinite
: Aristotle argued that infinity is "potential"—you can always keep dividing or adding, but you never "reach" an actual infinite state. : A collection of numbers that continues indefinitely
), often called the (meaning "ribbon"), was introduced by John Wallis in 1657. 2. Philosophy and Science Irrational Numbers : Numbers like : If the
(pi) have an infinite, non-repeating decimal expansion, meaning they can never be "nailed down" to a terminating value. : The infinity sign ( ∞infinity