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zkmontoday at 1:27 PM3 repliesview on HN

If a number system has a transcendental number as its base, would these numbers still be called transcendental in that number system?


Replies

moefhtoday at 1:37 PM

Yes. A number is transcendental if it's not the root of a polynomial with integer coefficients; that's completely independent of how you represent it.

frutigertoday at 1:38 PM

I think the elements of the base need to be enumerable (proof needed but it feels natural), and transcendental numbers are not enumerable (proof also needed).

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kinkyusatoday at 1:49 PM

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