What is the difference between the terms denumerable and enumerable.
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What's the meaning of them?
a set is "denumarable" if you can count the elements
first, second, third etc
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just like when you first learn math as a 4 year old by learning to count things. denumerable means "countable"
A denumerable set is a so-called countable set, an an enumerable set is something that seems to be used in computer science, but is essentially the same thing.
and counting things means you are assigning a positive integer to each item
first item, second item, third item, etc
so it is actually pretty sophisticated. you are creating a one to one function from the positive integers to the elements of the set
so to be very formal, you can say a set S is "denumerable" "countable" etc if there is an injective function (one to one function) from
\[S \to \mathbb N\]