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A rounded double-cupped Greek omega, the first infinite ordinal.
Also known as: Omega ordinal, First transfinite ordinal, Little omega
Omega is the first infinite ordinal: the order type of the natural numbers. Ordinal arithmetic on it is not commutative — 1 + ω equals ω but ω + 1 does not — which is the fact that separates ordinals from cardinals most sharply.
Denotes the least infinite ordinal, the order type of the natural numbers under their usual order.
Contexts: Mathematics
Obeys non-commutative arithmetic: 1 + ω = ω while ω + 1 > ω, unlike cardinal addition.
Contexts: Mathematics
A Greek lowercase omega — two curved bowls joined by a stroke at their base, both open at the top.