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English[en]
A set with all the natural numbers (counting numbers) in it is countable too. It's infinite but if someone counted forever they wouldn't miss any of the numbers. Sometimes when people say 'countable set' they mean countable and infinite.
Norwegian[nb]
Med andre ord er en mengde tellbar hvis det er mulig å telle dem ved hjelp av de naturlige tallene. Hvis en mengde er tellbar, men ikke endelig, sier man at den er tellbart uendelig.

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