Re: how

On 4/23/2024 2:27 PM, Tom Bola wrote:

Chris M. Thomasson schrieb:
 

On 4/23/2024 11:47 AM, Tom Bola wrote:

WM schrieb:
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Le 23/04/2024 à 00:58, Richard Damon a écrit :
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Yes, there is sort of a gap below ω as you can only get to ω via a
"hyper" step, not a normal step, like from 1 to 2.

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How many normal steps covers a hyper step?

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It's the same with dimensions - one cannot "cover" length with width.

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A hyper step wrt the reals can be as simple as 0 + 1 because there is an
infinity between 0 and 1?

  Sure! But that case is about ordinal numbers...

Then there is the 2-ary, n-ary. There still an infinity between any two points as long as said points are not all equal to one another. 2d, aka 2-ary:
p0 = { -1, 1 }
p1 = { .2, 3 }
There is an infinity between them. Now,
p0 = { -1, 1 }
p1 = { -1, 1 }
p0 and p1 are all as one. In certain field setups they can still add into the total...
https://youtu.be/KRkKZj9s3wk

   

There are no Ordinals in that gap,

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What is in that gap?

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The same that is between each pair of n and n+1 in IN: nothing.