THC Science

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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 Hypercomplex numbers Superreal numbers Irrational numbers Transcendental numbers Hyperreal numbers Surreal numbers
Other number systems	Cardinal numbers Ordinal numbers p-adic numbers Supernatural numbers

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