Does phi in empty set be written in curly braces or not?
Answers
Answer:
yes you can write in curly brackets
Step-by-step explanation:
bcoz brackets in mathematics can be used as u want
Answer:
MathFour
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Empty Sets – When to Use Curly Brackets
Filed Under: Sets and Counting; This post has 4 comments - join the discussion!
Are you teaching sets? Some of the stuff that you talk about in set theory is pretty clear – you have a basket { } and you put stuff in it {♥, ✂, ☎, ✿}. No problem.
But what’s the deal with the basket with no stuff in it?
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That’s the empty set. It’s written like Ø or simply as the “basket” like this: { }.
But kids might be tempted to write {Ø} – and then they get it wrong. BUT WHY?
The empty set is an object!
Suppose you have four empty sets. Do you have nothing? Nope – you have four containers. Just check your cabinets – I’m guessing you have a handful of empty sets in there with the Rubbermaid® or Tupperware® logo on them.
And {Ø} is an object inside a set.
Supposed you put one inside the other, like this:
This is an empty set contained in an empty set: {Ø} So the bigger empty set isn't really empty!
This is the same as {Ø}. Would you be willing to put leftovers inside the bigger one while the smaller one is there? It would be something like this:
If Ø is the same as {Ø} then you shouldn't be grossed out about doing this with your leftovers.
Instead, wouldn’t you be more likely to remove one empty set from the other and have just Ø and Ø (no curly brackets) like this:
These are two empty sets: Ø and Ø
What do you think? Does this help you understand the empty set? Will it help you teach it?