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Use this tag for general questions about logic that are not categorizable under some more specific tag, like "mathematical logic", "informal logic", "classical logic", etc.

8 votes

Can there be logic without the law of identity?

A reasoning system designed to check the correctness of numerical algorithms has to implement a logic with a non-standard 'equality' operator. … You can still do logic in these situations, because identity works some of the time, in limited but generally well-defined circumstances. But it's not a universal law. …
Nullius in Verba's user avatar