imaginaries

Numbers involving roots

Imaginaries are imaginary numbers—numbers involving the square root of negative one, which has no solution among real numbers.

Mathematicians represent this value as *i*, and imaginaries take the form of *i* multiplied by a real number: 2i, -5i.

Despite the name suggesting fiction, imaginaries are essential in physics, engineering, and signal processing.

Combined with real numbers, they form complex numbers.

illusory

phantom

Insubstantial apparition

specter · figment · hallucination · delusion · phantasm · ghost · specter · fabrication · make-believe · unreality

mathematical

complex number

Quantity with imaginary component

Euler · quadratic · polynomial · conjugate · modulus · algebraic

fantastical

mythical creatures

Imaginary beings from folklore

  • unicornMythical one-horned horse
  • dragonLegendary fire-breathing reptile
  • fairyTiny winged magical creature

elf · wizard · enchantment · magic · legend · chimera · griffin · phoenix · mermaid · centaur

conceptual

abstraction

Distilling to essential qualities

ideology · representation · signification · mental model · worldview · paradigm · discourse · schema · conceptualization · narrative

visionary

utopia

Imagined perfect society

possibility · prophetic · anticipation · foresight · innovation · what-if · counterfactual · thought experiment · projection · scenario

Opposites
mathematical number type

imaginariesreal numbers

Complete ordered field

reals · rationals · rational numbers · integers · natural numbers

ontological status

imaginariesrealities

Things that exist

actualities · concretions · tangibles · materialities · facts

Family

image, imagine, imagination, imagined, imaginary, imaginative, imagery, imagines, unimaginable

Familiarity
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Used worldwide · Timeless · Abstract · Rated G