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Is it possible to define cardinals that are distinct from either the $\aleph$ numbers or $\beth$ numbers?

By ExtraProxies | Proxy Quality | Comments are Closed | 8 January, 2018 | 0

I am wondering if there are ways of defining “structure” on infinite sets that generate sequences of cardinals distinct from either the $ \aleph$ or $ \beth$ numbers? Let me explain: Start by defining $ \beth_0=|\mathbb N|$ , which then is also the cardinality of any other countably infinite set. Next use the power setRead more

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