Empty set

Can the empty set be written in interval form as (infinity, infinity) or (infinity,a) U (b, infinity)?

Of course: where

Quote:

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Originally Posted by summerset353

Can the empty set be written in interval form as (infinity, infinity) or (infinity,a) U (b, infinity)?

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The real question is “does the empty set exist”?
Is that an idea for convenience?
Do mathematicians “hid there ignorance” in infinity and an empty set?