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Am 20.04.2024 um 20:34 schrieb WM:More precisely: A gap on the ordinal axis is a not existing ordinal in distance 1 from an existing ordinal. Example: Between -oo and 0 there us a huge gap.Le 20/04/2024 à 19:42, FromTheRafters a écrit :Aha, dann gibt es also zwischen allen Ordinalzahlen "gaps".What is a gap in the ordinals?It is a not existing ordinal between two ordinals.
Below ω there is a huge gap or there are dark ordinals.It is a not existing natural number next to ω, for instance.Ja, solche natürlichen Zahlen gibt es in der Tat nicht.
> the idea that ω follows upon all natural numbers with no gap in between.If so, then at ω-n there are gaps.
Hint: There is no "gap in between" in the following sense:
ω is (provably) the smallest ordinal AFTER (large than) all finite ordinals.
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