As if you are a mathematician — AgentTangarine
Why I write inf^1 is to highlighten the concept of cardinality. — AgentTangarine
FZ lived 120 years ago. — AgentTangarine
The axiom of choice is based on finite sets. — AgentTangarine
aleph1.6 — AgentTangarine
Who is FZ? And why does it matter that he lived 120 years ago? — TonesInDeepFreeze
That would imply that the covered piece has the same cardinality as the whole square. — AgentTangarine
This is getting painful to watch. A simple example shows that the "number" of points in the interior of a cube {p=(x,y,z):0<x<1,0<y<1,0<z<1} , is exactly the "number" of points on the line {r:0<r<1}:
1:1 correspondence demonstrated by r=.3917249105... <-> p=(.3795..., .921..., .140...)
Extending these ideas shows the cardinality of R^3 is the same as that of R. — jgill
Fraenkel and Zermelo. — AgentTangarine
Delusional and disconnected from reality. Check for fever. — TonesInDeepFreeze
That's what is said about geniuses in general. — AgentTangarine
Untill now I haven't seen one bit of math — AgentTangarine
only parrot references to the net. — AgentTangarine
I gave you a link to a so-called proof of a bijection between R and RxR. A wrong one. I asked you why it's wrong. — AgentTangarine
You only replied that you can't raise infinity to a power. — AgentTangarine
You cannot project the naturals to R one to one. — AgentTangarine
And that directly contradicts your claim now that we can map N onto R one-to-one. — TonesInDeepFreeze
I gave you the primary formulas that you need to start with. You ignore them then complain that I haven't given you any math — TonesInDeepFreeze
In an any case, you show no evidence of genius. Very much to the contrary. — TonesInDeepFreeze
Which functions? Of repeated fractions? — AgentTangarine
Like being crackpots. — AgentTangarine
This is getting painful to watch. A simple example shows that the "number" of points in the interior of a cube {p=(x,y,z):0<x<1,0<y<1,0<z<1} , is exactly the "number" of points on the line {r:0<r<1}: — jgill
You haven't proven any math. But you have proven yourself to be a crank. — TonesInDeepFreeze
1:1 correspondence demonstrated by r=.3917249105... <-> p=(.3795..., .921..., .140...) — jgill
I have been referencing the more general theorem that for an infinite set S and natural number n>0, we have card(S) = card(S^n). — TonesInDeepFreeze
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