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- Θ_(set_theory) abstract "In set theory, Θ (pronounced like the letter theta) is the least nonzero ordinal α such that there is no surjection from the reals onto α. If the axiom of choice (AC) holds (or even if the reals can be wellordered) then Θ is simply , the cardinal successor of the cardinality of the continuum. However, Θ is often studied in contexts where the axiom of choice fails, such as models of the axiom of determinacy. Θ is also the supremum of the lengths of all prewellorderings of the reals.[citation needed]".
- Θ_(set_theory) wikiPageID "2818849".
- Θ_(set_theory) wikiPageRevisionID "601145089".
- Θ_(set_theory) subject Category:Cardinal_numbers.
- Θ_(set_theory) subject Category:Descriptive_set_theory.
- Θ_(set_theory) subject Category:Determinacy.
- Θ_(set_theory) comment "In set theory, Θ (pronounced like the letter theta) is the least nonzero ordinal α such that there is no surjection from the reals onto α. If the axiom of choice (AC) holds (or even if the reals can be wellordered) then Θ is simply , the cardinal successor of the cardinality of the continuum. However, Θ is often studied in contexts where the axiom of choice fails, such as models of the axiom of determinacy.".
- Θ_(set_theory) label "Θ (set theory)".
- Θ_(set_theory) sameAs %CE%98_(set_theory).
- Θ_(set_theory) sameAs Q8083984.
- Θ_(set_theory) sameAs Q8083984.
- Θ_(set_theory) wasDerivedFrom Θ_(set_theory)?oldid=601145089.