Template:Number systems

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v t e Number systems

Countable sets	Natural numbers ( $\scriptstyle\mathbb{N}$ ) Integers ( $\scriptstyle\mathbb{Z}$ ) Rational numbers ( $\scriptstyle\mathbb{Q}$ ) Algebraic numbers ( $\scriptstyle\overline{\mathbb{Q}}$ ) Periods Computable numbers Arithmetical numbers

Real numbers and their extensions	Real numbers ( $\scriptstyle\mathbb{R}$ ) Complex numbers ( $\scriptstyle\mathbb{C}$ ) Quaternions ( $\scriptstyle\mathbb{H}$ ) Octonions ( $\scriptstyle\mathbb{O}$ ) Sedenions ( $\scriptstyle\mathbb{S}$ ) Cayley–Dickson construction Dual numbers Split-complex numbers Hypercomplex numbers Superreal numbers Irrational numbers Transcendental numbers Hyperreal numbers Surreal numbers

Other systems	Cardinal numbers Ordinal numbers p-adic numbers Supernatural numbers