@[email protected]M to Science [email protected]English • 3 months agoIrrationalmander.xyzmessage-square55fedilinkarrow-up1297
arrow-up1297imageIrrationalmander.xyz@[email protected]M to Science [email protected]English • 3 months agomessage-square55fedilink
minus-squareKogasalinkfedilinkEnglish3•3 months agoI’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.
minus-square@[email protected]linkfedilinkEnglish2•3 months agoCome on then, enlighten the average Joe.
minus-squareKogasalinkfedilinkEnglish3•3 months agoGoogle it? Axiomatic definition, dedekind cuts, cauchy sequences are the 3 typical ones and are provably equivalent.
minus-square@[email protected]linkfedilinkEnglish1•3 months agoA real number is the set of both rational and irrational numbers. Nothing about continuous anything.
minus-square@[email protected]linkfedilinkEnglish2•3 months agoIt is exactly that though. Irrationel and rational numbers are both real. Quantum physics is limited to the quantum, hence the name.
minus-square@[email protected]linkfedilinkEnglish3•3 months agoBeing continuous is not actually a requirement of being real.
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.
Come on then, enlighten the average Joe.
Google it? Axiomatic definition, dedekind cuts, cauchy sequences are the 3 typical ones and are provably equivalent.
A real number is the set of both rational and irrational numbers. Nothing about continuous anything.
It is exactly that though.
Irrationel and rational numbers are both real.
Quantum physics is limited to the quantum, hence the name.
Being continuous is not actually a requirement of being real.
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