- #1

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C={∅,{∅}} why is this correct ∅ ⊆C instead of {∅} ⊆C for the first object?

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- Thread starter bonfire09
- Start date

- #1

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C={∅,{∅}} why is this correct ∅ ⊆C instead of {∅} ⊆C for the first object?

- #2

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https://www.physicsforums.com/showthread.php?t=630957

in post #5. (I couldn't figure out how to link to my specific post, is that possible?).

- #3

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If you're just asking why the empty set is always a subset, just look at what it would mean if it

Steve - right click the number and copy the link address, or just look at the format here:

https://www.physicsforums.com/showpost.php?p=4048220&postcount=5

- #4

- 795

- 7

Steve - right click the number and copy the link address, or just look at the format here:

https://www.physicsforums.com/showpost.php?p=4048220&postcount=5

Oh the numbers are the links!! Thanks.

- #5

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im asking is that if i say that ∅⊆C is this correct?

- #6

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Feel free to read that symbol as "Is a subset of OR is equal to." Since the empty set is a subset of

- #7

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- #8

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What???

- #9

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how would i say that the first empty set in set C is a subset of C?

- #10

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With what you just wrote.

∅ is the empty set.

{∅} is.. "the set of the empty set."

∅ is the empty set.

{∅} is.. "the set of the empty set."

- #11

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C={4,5,6) D={1,2,3,4,5,6}

{4,5,6}⊆{1,2,3,4,5,6}

But with the empty set I assume don't need to put brackets around it unless its a set within another set

- #12

HallsofIvy

Science Advisor

Homework Helper

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- #13

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oh ok i get it but how about this one A={4,{5},6} and B={{5},6,7}. would A be a proper subset of B?

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