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From: WM <wolfgang.mueckenheim@tha.de>
Newsgroups: sci.math
Subject: Re: Incompleteness of Cantor's enumeration of the rational numbers
Date: Wed, 13 Nov 2024 09:20:41 +0100
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On 13.11.2024 08:18, Jim Burns wrote:
> 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.

Yes, thank you.
> 
> Your English is generally excellent,

Thank you.

> 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"

Nice. Ice fits better to the name of the poet. But I was stunned by the 
last rhyme. I would have pronounced suffice like police.

Regards, WM