# Empty set

• February 8th 2010, 05:15 PM
summerset353
Empty set
Can the empty set be written in interval form as (infinity, infinity) or (infinity,a) U (b, infinity)?
• February 8th 2010, 05:21 PM
Nyrox
Of course: $]a,b[$ where $a>b$
• February 8th 2010, 05:22 PM
Plato
Quote:

Originally Posted by summerset353
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?