Ueber unendliche, lineare Punktmannichfaltigkeiten, 5¶
Cantor, G. (1883). Ueber unendliche, lineare Punktmannichfaltigkeiten, 5. Grundlagen einer allgemeinen Mannigfaltigkeitslehre, 21(4), 545-591.
Cited by¶
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Primes¶
- Well-Foundedness (Well-Ordering)
- Well-foundedness is not order type — order type classifies well-orderings up to order-isomorphism; two well-orderings of the same cardinality can have wildly different order types (ω, ω + ω, ω · ω, ω^ω, ε₀ all have cardinality ℵ₀ but differ in order type), a distinction Cantor (1883) drew already in the Grundlagen between cardinality and the finer ordinal-classification of well-orderings.
This sourceFoundational treatment of well-ordering and the transfinite ordinals.
- Well-foundedness is not order type — order type classifies well-orderings up to order-isomorphism; two well-orderings of the same cardinality can have wildly different order types (ω, ω + ω, ω · ω, ω^ω, ε₀ all have cardinality ℵ₀ but differ in order type), a distinction Cantor (1883) drew already in the Grundlagen between cardinality and the finer ordinal-classification of well-orderings.
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Registry ID ref:538c574e233c · see in the full table