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ibc
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(not assuming any kind of continuum hypothesis of course) does every cardinal have a following one, i.e a minimal cardinal that is strictly larger?edit: ops, the title should be "following cardinal"
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An ordinal number is a number that represents the position or order of an object in a sequence. For example, first, second, third, etc. A cardinal number, on the other hand, represents the quantity or number of objects in a set. For example, one, two, three, etc.
No, not every ordinal has a following cardinal. Ordinal numbers can continue infinitely, while cardinal numbers only go up to a certain point. For example, there is no cardinal number that follows the ordinal number "infinity".
Ordinal and cardinal numbers are related in that ordinal numbers can be converted to cardinal numbers by counting the number of objects in a set. For example, the ordinal number "third" can be converted to the cardinal number "3" if there are 3 objects in the set.
No, ordinal and cardinal numbers have different purposes and cannot be used interchangeably. Ordinal numbers are used to represent order or position, while cardinal numbers represent quantity or number.
Yes, there are some exceptions to this rule. For example, the ordinal number "half" does not have a corresponding cardinal number. Also, some infinite ordinals do not have a corresponding cardinal number, such as "infinity" or "aleph-null".