Re: How many different unit fractions are lessorequal than all unit fractions?

On 30.09.2024 13:13, Richard Damon wrote:

On 9/29/24 3:16 PM, WM wrote:

On 28.09.2024 14:58, Richard Damon wrote:

On 9/27/24 3:06 PM, WM wrote:

On 25.09.2024 19:12, Richard Damon wrote:
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The problem is that it turns out the NUF(x) NEVER actually "increments" by 0ne at any finite point, it jumps from 0 to infinity (Aleph_0) in the unboundedly small gap between 0 and all x

0,

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How do you distinguish them?

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They have different values, so why can't you?

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Then distinguish the first one.
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There isn't a first one.

NUF(0) = 0 and NUF(1) = ℵo. ∀n ∈ ℕ: 1/n - 1/(n+1) > 0 shows that at no point x NUF can increase by more than one step 1. It is fact. I am not responsible. I only made the discovery.
Regards, WM