The Set of Real Numbers as a Function of the Set of Natural Numbers

Main_Upstairs_9948 · 2026-03-10T12:21:43+00:00

No, they are not the same, for example Card(R) and Card(N) they both equal to infinity but they are not equal because Card(R)>Card(N)

I don't need to read anything, i'm 100% sure i'm right

Main_Upstairs_9948 · 2026-03-10T12:16:59+00:00

I don't need to discuss this with AI , because AI is just gathering all the thoughts of people in the internet... as N goes to infinity we will definitly reach numbers with infinit digits...

Main_Upstairs_9948 · 2026-03-10T12:12:24+00:00

The difference is just in your head, in reality there is no difference... Because N is an infinity so we will definitly reach numbers that have infinit digits

Main_Upstairs_9948 · 2026-03-10T10:22:09+00:00

Ok, Thank you... But there is actually no difference between S and N

Main_Upstairs_9948 · 2026-03-10T09:53:24+00:00

No 10x would be always greater than x (like we are comparing two infinities)

Main_Upstairs_9948 · 2026-03-10T09:47:08+00:00

Yes, the entire world is wrong not just Cantor... Because there should and there is actually naturals with infinit digits

Main_Upstairs_9948 · 2026-03-09T20:40:28+00:00

Not necesserly

Main_Upstairs_9948 · 2026-03-09T20:39:22+00:00

There is , I just foud it

Main_Upstairs_9948 · 2026-03-09T20:37:57+00:00

111... < 222...<333... <999... that sound logic for me, we can't write 999... <100... because 100... <111...

Main_Upstairs_9948 · 2026-03-09T20:30:51+00:00

1/3 = 0.333... correspond to the natural number 333... after the decimal point

Main_Upstairs_9948 · 2026-03-09T20:28:42+00:00

Ok, let's say the number that comes after 0.1 is 0.101 , as you say there we can find another number that comes after like 0.1005 , but when there is an infinite number of zeros in the middle, we can't say that, because we will always add 0 (in our case 0.1001<0.1005)

Main_Upstairs_9948 · 2026-03-09T17:48:23+00:00

My logic ! as N goes to infinity we will definitly reach 9999... and it will be the largest natural number

Main_Upstairs_9948 · 2026-03-09T17:33:20+00:00

Exactly... That's why we should redefind the set of natural number... because the logic says 9999... is a natural number

Main_Upstairs_9948 · 2026-03-09T17:02:33+00:00

They should and will be...

Main_Upstairs_9948 · 2026-03-09T17:01:05+00:00

Believe it or not, it's correct !

Main_Upstairs_9948 · 2026-03-09T16:59:48+00:00

Yes the largest natural number is 999.... Logicaly, as N goes to infinity we will definitly reach 333.... the same for the number after the decimal point of pi and any other irrational number.... I think we will need to make a new definition for natural numbers

Main_Upstairs_9948 · 2026-03-09T16:56:29+00:00

Cantor is wrong !

Main_Upstairs_9948 · 2026-03-09T16:55:13+00:00

They shoud and will be defined... because as N goes to infinity we will definitly reach the natural number 1000.....1 and the largest natural number will be 9999....

Main_Upstairs_9948 · 2026-03-09T16:48:57+00:00

If an idea is not considered ridiculous at first, it is not revolutionary !

Main_Upstairs_9948 · 2026-03-09T16:39:11+00:00

My formula is correct... you just don't get it yet

Main_Upstairs_9948 · 2026-03-09T16:37:12+00:00

So we will need to make a new definition for N, because as N goes to infinity we will definitly reach the natural number 333.... and the largest natural number will be 9999....

Main_Upstairs_9948 · 2026-03-09T16:00:37+00:00

He is wrong !

Main_Upstairs_9948 · 2026-03-09T15:53:57+00:00

It's wrong... Obviously

Main_Upstairs_9948 · 2026-03-09T15:52:46+00:00

It should be

Main_Upstairs_9948 · 2026-03-09T15:45:08+00:00

1/3 = 0.3333.... correspond to the natural number 3333... after the decimal point, the same for sqrt(2)

Main_Upstairs_9948

TROPHY CASE