xia@lemmy.sdf.org to Showerthoughts@lemmy.worldEnglish · 2 days agoImaginary numbers are more real than infinity.message-squaremessage-square26fedilinkarrow-up119arrow-down14
arrow-up115arrow-down1message-squareImaginary numbers are more real than infinity.xia@lemmy.sdf.org to Showerthoughts@lemmy.worldEnglish · 2 days agomessage-square26fedilink
minus-squarexia@lemmy.sdf.orgOPlinkfedilinkEnglisharrow-up1·19 hours agoDoes this mean the concept of infinity requires an infinite number of infinities?
minus-squareLeate_Wonceslace@lemmy.dbzer0.comlinkfedilinkEnglisharrow-up3·11 hours 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?
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.