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What does countable mean?

Looking for the meaning or definition of the word countable? Here's what it means.

Adjective
  1. Capable of being counted; having a quantity.
  2. (mathematics) Finite or countably infinite; having a one-to-one correspondence (bijection) with a subset of the natural numbers.
  3. (mathematics) Countably infinite; having a bijection with the natural numbers.
  4. (grammar) Freely usable with the indefinite article and with numbers, and therefore having a plural form.
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Examples
A full hierarchical perspective suggests a continuum of variation rather than a countable number of objects.
As might be expected Cantor went on to find other kinds of infinities that were not countable by the rules he had established.
Every uncountable closed set can be partitioned into a perfect set and a countable set.
In order to cast a countable vote, a voter must read and follow a set of rudimentary instructions.
The lightning came, in one of those broad, sheetlike flickers that seem to irradiate the world for countable seconds.
After irradiation, the cells were left for 2 weeks under standard conditions to allow the formation of countable colonies.

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