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I’m fully aware of the definitions. I didn’t say the definition of irrationals was wrong. I said the definition of the reals is wrong. The statement about quantum mechanics is so vague as to be meaningless.

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bstix@feddit.dk ⁨1⁩ ⁨week⁩ ago
Come on then, enlighten the average Joe.

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- kogasa@programming.dev ⁨1⁩ ⁨week⁩ ago
  Google it? Axiomatic definition, dedekind cuts, cauchy sequences are the 3 typical ones and are provably equivalent.
  
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- wholookshere@lemmy.blahaj.zone ⁨1⁩ ⁨week⁩ ago
  A real number is the set of both rational and irrational numbers. Nothing about continuous anything.
  
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  - bstix@feddit.dk ⁨1⁩ ⁨week⁩ ago
    It is exactly that though.
    
    Irrationel and rational numbers are both real.
    
    Quantum physics is limited to the quantum, hence the name.
    
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    wholookshere@lemmy.blahaj.zone ⁨1⁩ ⁨week⁩ ago
    Being continuous is not actually a requirement of being real.
    
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