acording to the definition of a set "the collection of distinct &well defined things is called a set"but in empty set there is no member.then why we said it a set
2006-09-09 06:58:08 · 5 answers · asked by adbeer z 1 in Science & Mathematics ➔ Mathematics
Think about a string of 5 lights. They could be on or not.
If all of them are off, wouldn't you want to be able to talk about that state? That could be considered an empty set.
If there were no empty set, it'd be an awkward 31. It's important to have the empty set as an element of sets.
How many possible states are there in the lights example? a nice and even 32 = 2^5
2006-09-09 07:05:25 · answer #1 · answered by J G 4 · 0⤊ 0⤋
I suppose it's technically true, by that definition, that the empty set is not a set at all. But it's important to consider it a set, because of its applications. For all intents and purposes, it functions as a set, and is used in conjunction with non-empty set, so calling it a set is mainly for expedience.
2006-09-09 07:01:58 · answer #2 · answered by DavidK93 7 · 0⤊ 0⤋
This set plays a very similar role as the number zero does with numbers.
2006-09-09 07:41:03 · answer #3 · answered by bruinfan 7 · 0⤊ 0⤋
Because it use to be a set,so you know more about what you are seeing
2006-09-09 07:05:42 · answer #4 · answered by class4 5 · 0⤊ 0⤋
there's nothing in the set-no solution, the set is empty-so it's an empty set.
2006-09-09 07:03:59 · answer #5 · answered by practicalwizard 6 · 0⤊ 0⤋