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Why do you need a extenstion of rational numbers?

Updated: 8/20/2019
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10y ago

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You need an extension because rational numbers are a tiny subset of all real numbers. There are transcendental numbers such as pi and e which are key to geometry and calculus (respectively), the Golden ratio, as well as all the non-rational roots of rational numbers.

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7y ago
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Q: Why do you need a extenstion of rational numbers?
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There are no consecutive rational numbers. Between any two rational numbers there are an infinity of rational numbers.


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