the.com/empty set

The set containing nothing, yet mathematicians can't stop talking about it.

means The unique set that has no members at all — written ∅ or {} — and every other set is built up logically from this foundation of nothing.

from The symbol ∅ comes from Scandinavian alphabets (a letter like Norwegian/Danish Ø), introduced into mathematics by the 20th-century Bourbaki group of French mathematicians, who wanted a distinct character not to be confused with the Greek letter phi or the digit zero. The concept itself traces back to set theory's founders — Cantor and others in the late 1800s — who needed a way to talk rigorously about 'collections with nothing in them' so that operations like intersection always produce a set, even when two sets share no elements.

notation
written as a circle with a slash, like a null symbol
subset of everything
it is a subset of every set, including itself
foundation builder
all of number theory can be built from this nothingness
uniqueness
there is only one empty set, no matter how you define it
the.com · every word