From: chris.m.thomasson.1@gmail.com
On 1/28/2026 9:34 AM, Ben Bacarisse wrote:
> David Brown writes:
>
>> On 26/01/2026 21:34, wij wrote:
>>> On Mon, 2026-01-26 at 21:07 +0100, David Brown wrote:
>>>> On 26/01/2026 16:51, wij wrote:
> ...
>>>>> Not quite sure what you mean.
>>>>>
>>>>> https://sourceforge.net/projects/cscall/files/MisFiles/Rea
Number2-en.txt/download
>>>>> 3. 1/3 = 0.333... + non-zero-remainder (True
>>>>> identity. How to deny?)
>>>>>
>>>>> How would you deny it, and call the cut-off 'equation' identity?
>>>>
>>>> Have you ever heard of the concept of "limits" ? You might want to
>>>> learn something about them before embarrassing yourself.
>>>
>>> What do you know about the concept of "limits"? (You invented? Don't try
>>> to be
>>> the next one, again. I remember the other expert in this forum has
>>> humiliated himself
>>> once, not sure which one, if I can safely predict. And I ignored the
>>> other reply,
>>> because it is too obvious, I leave as record)
>>
>> No, I did not invent the concept of limits. Newton and Leibnitz were
>> probably the first to use them, then Cauchy formalized them (if I remember
>> my history correctly). But I /learned/ about them - understood them,
>> understood proofs about them, understood how to use them.
>
> This is a crank topic that annoys me so I will allow myself one more
> post in this wildly off-topic thread.
>
> Limits are not needed to show that 1/3 = 0.333... exactly. All that's
> needed is to know what 0.333... means. It means that, for every n, the
> nth fractional digit it 3. Obviously, if someone denies this you just
> have to give up, but if it is agreed that that is what the ... means
> then it's simple so show that there is no n (in N) for which the nth
> digit of 1/3 is not 3.
>
Once you start with long division, as soon as you hit a cycle, stop. 1/3
hits a cycle rather quickly. So, 1/3 = 0.(3) Fair enough?
--- SoupGate-Win32 v1.05
* Origin: you cannot sedate... all the things you hate (1:229/2)
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