this post was submitted on 03 Nov 2024
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Philosophy
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The volume of a mixture cannot be described by a simple sum of the volume of its components. As such, this does not make the statement "1+1=2" false in this situation; it's still true but irrelevant, there's no "+" here on first place.
Additionally, let us suppose for a moment that the reasoning above is invalid. Even then, it's still an objective matter - because then the truth value of "1+1=2" would vary depending on the object (are we dealing with apples, or liquid mixtures?), not on the subject (who's mixing the liquids - you or me?).
It's subjective as in: imagine a different society/species constructing a sense of reality and computation, based on liquid mixtures. Their basis of computation, their axiom is 1l of alcohol + 1l of water = 2l of mixture.
They meet us, and we exchange ideas.
They go: of course 1 + 1 = 2, look at our mixture. For fruits, apples and pears? That's outside of normal arithmetics, it's an exception. There's no + there, as you're not mixing. You have to correct for the non mixture nature, the answer will be larger than 2.