| 31. | For countable theories there are only four possible stability spectra.
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| 32. | We know that the set of integers is infinite, but countable.
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| 33. | The set of definable numbers is broader, but still only countable.
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| 34. | The distinction is made between a countable set and an uncountable set.
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| 35. | This is the free Boolean algebra on a countable number of generators.
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| 36. | Is there a name for something that is finite but not countable?
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| 37. | A large class of spaces satisfying the countable first axiom are metric spaces.
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| 38. | Thus, limits in first-countable spaces can be described by sequences.
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| 39. | This space is Hausdorff, paracompact and first countable.
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| 40. | Neither is a countable sequence or array of points.
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