Re: Incompleteness of Cantor's enumeration of the rational numbers

On 11/12/2024 4:38 PM, WM wrote:

On 12.11.2024 20:01, Jim Burns wrote:

On 11/12/2024 11:43 AM, WM wrote:

No, the intervals remain constant
in size and multitude.

>
Intervals which are constant _only_
in size and multitude
are not constant absolutely.

>
They would suffer [suffice] to cover
all rationals completely
if Cantor's bijection was complete.

I think that you want to use 'suffice' here.
Your English is generally excellent,
but 'suffice' is not a very common word.
One instance I'm fond of:
⎛ Some say the world will end in fire,
⎜ Some say in ice.
⎜ From what I’ve tasted of desire
⎜ I hold with those who favor fire.
⎜ But if it had to perish twice,
⎜ I think I know enough of hate
⎜ To say that for destruction ice
⎜ Is also great
⎝ And would suffice.
-- Robert Frost, "Fire and Ice"