That is, there are real numbers not mapped to. — TonesInDeepFreeze
You are exclusionary and dogmatic. — AgentTangarine
That's not what the proof is about. It just shows that [0-1]is uncountable. — AgentTangarine
Just now, and in the other thread that was deleted yesterday — TonesInDeepFreeze
You don't need the diagonal proof to realize that. — AgentTangarine
Every real number can be mapped from N^3 — AgentTangarine
You have not shown any dogmatism by my. Nor any exclusion other than of ignorant confusion and misinformation. — TonesInDeepFreeze
I never told you to consider other posts. — AgentTangarine
There is no map from N^3 onto R. — TonesInDeepFreeze
Then I bet you really would not like Banach-Tarski. — TonesInDeepFreeze
Example? — TonesInDeepFreeze
The definition you are seeing is the formal aspect. It's a kind of final touch to an idea that began as an interesting notion. — jgill
You can map N to all reals between 0.1 and 0.999999... — AgentTangarine
Where am I wrong? — AgentTangarine
In thinking that the fact that in your own mind you imagine that it must be so implies a mathematical proof. — TonesInDeepFreeze
infinitesimals. — Agent Smith
making a definition precise (usually) means losing some/all of the feelings that go with the intuition. — Agent Smith
Math, for some reason, refuses to let me unravel its secrets. — Agent Smith
where am I wrong if I say that N^3 can be mapped on R? — AgentTangarine
think it's the continuum that confuses me, — AgentTangarine
I told you. You don't have proof of it. You only think you do. — TonesInDeepFreeze
Cannot N be mapped onto 0.1-1? — AgentTangarine
By the way, you claimed that I have no sense of humor — TonesInDeepFreeze
Cannot N be mapped onto 0.1-1?
— AgentTangarine
Do you mean to suggest that there is a 1-1 function from N onto 0? — TonesInDeepFreeze
Do you mean to suggest that there is a 1-1 function from N onto 0? — TonesInDeepFreeze
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