• NoLifeGaming@lemmy.world
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    10 months ago

    Right, so in Math we have axioms and we build upon those axioms and construct theorems which are deductively true. They are not true in the same way a scientific theory is. My point is, not everything that can be true needs empirical verification. Math is one example.

    • fkn@lemmy.worldM
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      10 months ago

      While what you say is true, tautological arguments are not useful in and of themselves. Internally consistent mathematics is not a useful construct unless we can empirically discover structures that those mathematical systems model. Einsteins theory of relativity is not impressive without the empirical discovery that the it is/was a better model than the existing Newtonian models that proceeded it.

      To argue that internally consistent tautologies are true and are of equivalent usefulness is a bad faith argument that inappropriately equates two logical constructs.