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What doesn't sit right? Your orderability idea is about "monotonic" mappings. Rational numbers are interesting even if they aren't ordered at all (but still c
by lupire 4y ago
What doesn't sit right?
Your orderability idea is about "monotonic" mappings.
Rational numbers are interesting even if they aren't ordered at all (but still can add and multiply, like other non-ordered objects like the integers mod N).
- yarg 4y agoI don't quite know. It feels as if there's some deep structural aspects to the rationals that get casually tossed to the side in order to shoehorn them into integer indices.
- LudwigNagasena 4y agoI guess the point is that you can't map them in a way that preserves "structure" in some sense.