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Why no order in complex numbers?

Updated: 10/25/2022
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13y ago

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Basically you can have an order on a number line, but complex numbers are points on a plane. You can invent some arbitrary order, like which number has the largest real part, or the biggest absolute value, but many of the order properties of real numbers are no longer valid with such definitions.

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Q: Why no order in complex numbers?
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