One nested-set diagram maps the entire number hierarchy, from counting numbers to transcendentals

TinfoilTricorn · x · 2026-10-14

A shared math-explainer graphic lays out the full number hierarchy as nested sets: counting numbers sit inside whole numbers, then integers, rationals, and reals. Irrationals separate reals from rationals; algebraic numbers capture every root of polynomials with rational coefficients (including √2 and i), while transcendentals like π and e lie beyond any algebraic equation. Pure imaginaries extend the same algebraic/non-algebraic split into the complex plane. A handy one-glance cheat sheet for the number system.

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