Context:
In ZFC set theory (which most of modern maths is built upon). The natural numbers are defined as recursions of empty sets.
Ie. 0 = ∅ (the empty set)
1 = {∅} = {0}
2 = {∅, {∅}} etc…
this post was submitted on 24 Jun 2025
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0 is the empty set.
1 is the set containing only 0.
2 is the set containing only 1 and 0.