KnowraReal numberLinked fromLinked fromThe 87 pages that link to Real number, each with the reason it gives.All 87Broader topic 9Related 27Narrower topic 45Compared with 6Finite fieldCompared with: The real numbers illustrate an infinite field with an order, which finite fields cannot have.Countable setCompared with: The real numbers cannot be listed in a sequence, unlike the rationals.p-adic numberCompared with: The real numbers use ordinary magnitude, unlike p-adic size based on divisibility.Algebraic closureCompared with: The real field is not algebraically closed because some real polynomials have no real roots.Imaginary unitCompared with: No real number squares to −1, unlike the imaginary unit.Algebraically closed fieldCompared with: The real field is not algebraically closed, since polynomials such as x² + 1 have no real root.