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Enumerable: A set is one whose members can be enumerated is called enumerable, or countable.
There are arranged in a single list with a first entry, a second entry, and so on, so that every
member of
the set appears sooner or later on the list.
Examples: the set P of positive integers is enumerated by the list.
If a member of a list is appeared in the list, it is absolutely correct.
The only requirement is that member should atleast showed up once. We don't care if the list is
redundant. we only need is that list must be complete.
if the list is redundant, we can thin out it to get a irredundant list. If the list has gaps it is also
correct because one could go out and fill them. The only requiremnt is that every element in the
set that is enumerated be associated with some positive number, and not that every positive
member of the set associated with it.
Solution
Enumerable: A set is one whose members can be enumerated is called enumerable, or countable.
There are arranged in a single list with a first entry, a second entry, and so on, so that every
member of
the set appears sooner or later on the list.
Examples: the set P of positive integers is enumerated by the list.
If a member of a list is appeared in the list, it is absolutely correct.
The only requirement is that member should atleast showed up once. We don't care if the list is
redundant. we only need is that list must be complete.
if the list is redundant, we can thin out it to get a irredundant list. If the list has gaps it is also
correct because one could go out and fill them. The only requiremnt is that every element in the
set that is enumerated be associated with some positive number, and not that every positive
member of the set associated with it.

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Enumerable A set is one whose members can be enumerated is called e.pdf

  • 1. Enumerable: A set is one whose members can be enumerated is called enumerable, or countable. There are arranged in a single list with a first entry, a second entry, and so on, so that every member of the set appears sooner or later on the list. Examples: the set P of positive integers is enumerated by the list. If a member of a list is appeared in the list, it is absolutely correct. The only requirement is that member should atleast showed up once. We don't care if the list is redundant. we only need is that list must be complete. if the list is redundant, we can thin out it to get a irredundant list. If the list has gaps it is also correct because one could go out and fill them. The only requiremnt is that every element in the set that is enumerated be associated with some positive number, and not that every positive member of the set associated with it. Solution Enumerable: A set is one whose members can be enumerated is called enumerable, or countable. There are arranged in a single list with a first entry, a second entry, and so on, so that every member of the set appears sooner or later on the list. Examples: the set P of positive integers is enumerated by the list. If a member of a list is appeared in the list, it is absolutely correct. The only requirement is that member should atleast showed up once. We don't care if the list is redundant. we only need is that list must be complete. if the list is redundant, we can thin out it to get a irredundant list. If the list has gaps it is also correct because one could go out and fill them. The only requiremnt is that every element in the set that is enumerated be associated with some positive number, and not that every positive member of the set associated with it.