## 2bornot2b What is the difference between the terms denumerable and enumerable. 2 years ago 2 years ago

1. satellite73

synonyms

2. 2bornot2b

What's the meaning of them?

3. satellite73

a set is "denumarable" if you can count the elements first, second, third etc

4. satellite73

just like when you first learn math as a 4 year old by learning to count things. denumerable means "countable"

5. KingGeorge

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.

6. satellite73

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

7. satellite73

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 $S \to \mathbb N$

8. 2bornot2b

what are you talking about @robot1234

9. FoolForMath
10. satellite73

think maybe robot is bored

11. 2bornot2b

Might be a clever method of squeezing a medal from someone who thinks robot1234 is helping

12. FoolForMath

Lol!

13. satellite73

watch this

14. 2bornot2b

I have seen these earlier, users coming in and just posting a nonsense and expecting to get a medal.

15. 2bornot2b

This is a good trick after all

16. FoolForMath

Driveling for medals lol!