@[email protected] to [email protected]English • 5 months agoImaginary numbers are more real than infinity.message-square43fedilinkarrow-up197
arrow-up197message-squareImaginary numbers are more real than infinity.@[email protected] to [email protected]English • 5 months agomessage-square43fedilink
minus-square@[email protected]OPlinkfedilinkEnglish3•5 months agoDoes this mean the concept of infinity requires an infinite number of infinities?
minus-square@[email protected]linkfedilink1•5 months agoI believe so. I wonder what is the ordinal of the set of ordinals.
minus-square@[email protected]linkfedilinkEnglish4•5 months agoInformally, yes. Formally, no. There is no cardinal sufficient such that every cardinal can fit in a set with that cardinality. Isn’t that fascinating? There’s too many infinities for us to mathematically express how many infinities there are.
Does this mean the concept of infinity requires an infinite number of infinities?
I believe so. I wonder what is the ordinal of the set of ordinals.
Informally, yes. Formally, no. There is no cardinal sufficient such that every cardinal can fit in a set with that cardinality. Isn’t that fascinating? There’s too many infinities for us to mathematically express how many infinities there are.