What exactly is a set with no elements? What does it mean? Aren't sets entirely defined by their contents? In what manner is a set with no contents defined?(adsbygoogle = window.adsbygoogle || []).push({});

I'm not arguing for or against such an axiom... I simply want to know what the axiom actually is saying. If an empty set is not well-defined, what is it actually asserting?

**Physics Forums | Science Articles, Homework Help, Discussion**

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Trouble comprehending the empty set

**Physics Forums | Science Articles, Homework Help, Discussion**