Axiom:Leibniz's Law/Historical Note
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Historical Note on Leibniz's Law
Leibniz used this law as the definition of equality.
However, Alfred Tarski notes:
- To regard Leibniz's law here as a definition would make sense only if the meaning of the symbol "$=$" seemed to us less evident than that of expressions [such as 'every property $x$ has, $y$ has'].
Hence it can be argued that Leibniz's law should either be adopted as an axiom, or not adopted at all.