Philosophers and scientists have long debated whether infinity can actually exist in the physical world.
), often called the (meaning "ribbon"), was introduced by John Wallis in 1657. 2. Philosophy and Science Infinite
The concept of "" stretches across mathematics, philosophy, and modern culture, representing anything that is boundless, limitless, or endless. It is not a specific number you can count to, but rather an idea that a process or sequence can continue forever without reaching a terminal point. 1. Mathematical Foundations In mathematics, infinity ( ∞infinity ) is used to describe sets or series that never end. Philosophy and Science The concept of "" stretches
: 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 some infinite series
(pi) have an infinite, non-repeating decimal expansion, meaning they can never be "nailed down" to a terminating value. : The infinity sign ( ∞infinity
: 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.