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In maths, what is aleph-zero?

the cardinality of the set of all countable ordinal numbers
the cardinality of the set of all natural numbers
the base value of the natural logarithm
the cardinality of the set of real numbers
The aleph numbers are a sequence of numbers used to represent the cardinality of infinite sets that can be well-ordered. The cardinality of the natural numbers is aleph-zero, the next larger cardinality is aleph-one, then aleph-two and so on. The concept and notation are due to Georg Cantor, who defined the notion of cardinality and realized that infinite sets can have different cardinalities.
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Answers by country

the cardinality of the set of all countable ordinal numbers
the cardinality of the set of all natural numbers
the base value of the natural logarithm
the cardinality of the set of real numbers
answers
flagAustralia
11%
42%
34%
11%
26
flagPakistan
8%
41%
33%
16%
12
flagCanada
20%
40%
30%
0%
10
flagPoland
25%
38%
17%
17%
4259
flagthe United States
20%
37%
26%
15%
90
flagthe Netherlands
33%
33%
27%
5%
18
flagRepublic of Ireland
18%
31%
18%
31%
16
flagIndia
24%
30%
30%
11%
89
flagFrance
30%
30%
30%
10%
10
flagMalaysia
30%
30%
30%
10%
10
flagthe United Kingdom
18%
28%
26%
26%
75
flagGermany
20%
25%
33%
18%
355
flagAustria
14%
24%
42%
20%
50
flagSwitzerland
26%
19%
26%
24%
41
flagGreece
33%
16%
33%
16%
12

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