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Math Help - Empty set

  1. #1
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    Empty set

    Can the empty set be written in interval form as (infinity, infinity) or (infinity,a) U (b, infinity)?
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  2. #2
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    Of course: ]a,b[ where a>b
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  3. #3
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    Quote Originally Posted by summerset353 View Post
    Can the empty set be written in interval form as (infinity, infinity) or (infinity,a) U (b, infinity)?
    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?
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