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From: "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com>
Newsgroups: sci.math
Subject: Re: How many different unit fractions are lessorequal than all unit
 fractions? (infinitary)
Date: Mon, 21 Oct 2024 14:16:43 -0700
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On 10/21/2024 1:34 PM, Jim Burns wrote:
> On 10/21/2024 2:25 PM, WM wrote:
>> On 21.10.2024 14:30, Jim Burns wrote:
>>> On 10/21/2024 6:01 AM, WM wrote:
> 
>>> How can you (WM) not.know what 'preimage' means?
>>
>> I have lectured analysis in German only.
>> I assumed that preimage is the set mapped to the image.
> 
> It's not an improvement that you allegedly think that
> odd numbers are the result of doubling.

WM is an odd one for sure!

{ 1, 2, 3, 4, 5, ... }

{ 2-1, 4-1, 6-1, 8-1, 10-1, ... }

{ 1, 3, 5, 7, 9, ... }

So,

{ 1*2-1, 2*2-1, 3*2-1, 4*2-1, ... }

is:

{ 1, 3, 5, 7, ... }

So are the odd and evens different infinite shades of "dark" wrt WM?

;^)


> 
>>> On 10/21/2024 6:01 AM, WM wrote:
>>>> On 21.10.2024 11:21, FromTheRafters wrote:
>>>
>>>>> What's the preimage?
>>>>
>>>> The range.
>>>> It is a complete set by assumption.
>>>> All its numbers can be mapped,
>>>> some of them not to the preimage.
> 
> That supports my theory that
> you (WM) just blather, almost unconsciously, and
> you expect to smooth over any of your blather
> which has embarrassed even you
> with more blather, but about dark numbers,
> because dark numbers are strategically obscure.
> 
>