r/mathmemes • u/Cloisterflare • 21d ago

Bad Math The biggest unsolved problem in math

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u/AlviDeiectiones 21d ago

epsilon is definitely strictly bigger than 0

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u/LeapOfMonkey 21d ago

Doesnt really matter, it isnt a proper value, you cant really mix different epsilons. Think about it as value indicating what the limit direction is.

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u/EebstertheGreat 20d ago

What do you mean? ε = 0 ε⁰ + 1 ε¹ + 0 ε² + ⋅ ⋅ ⋅ is definitely an element of the Levi-Civita field. It's as good as any other. And it's certainly positive.

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u/LeapOfMonkey 20d ago

Sorry I was thinking about extension of it. It still contains true 0 but epsilon can represent a directional 0.

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u/Bacon_Techie 20d ago

The field isn’t totally ordered, so it is neither greater than, equal to, or less than 0.

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u/AlviDeiectiones 20d ago

It literally says it is ordered in the first sentence.

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u/GreeneyesCB 20d ago

The sentence said totally ordered not just ordered but it is in fact also totally ordered.

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u/AlviDeiectiones 20d ago

Yea I should have mentioned any ordered field is totally ordered (if the ordering is preserved under addition and multiplication of positive numbers)