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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
The lightning came, in one of those broad, sheetlike flickers that seem to irradiate the world for countable seconds.
Mathematicians divide infinite sets into two categories, countable and uncountable sets.
Thus, 100 countable individuals was a targeted minimum that was easily surpassed in many samples but not achieved in others.
This then becomes the divisor to determine the piece count from the weight of an unknown quantity of countable parts.
A full hierarchical perspective suggests a continuum of variation rather than a countable number of objects.
The optimum fibre density should give an average of about one or two countable fibre per fields of view at 5 000 magnification.

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