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Math has it right in this case. There are no true definitions of these terms, only conventions. The meanings of these things differ by context. Things are the same, identical, or equal according to the 'equivalence relation' appropriate to the context in which one is speaking. Famously Leibniz defines identity as having exactly the same values for all the ...


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Your two questions are similar in nature and the your intuition seems more or less correct that most modern phenomenologists hold the position of some types of direct realism (naive, enactivism, critical, etc) when it comes to perception of objects even challenged by argument from hallucination, according to below 2 contemporary references on this matter. ...


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