You keep saying
> Any normal mathematician who writes "e^1.1" intends that to mean
"e^(11/10)".

To be honest, I don't think that is the case, if a paper presented to you
some constant gamma = 1.1, you would not assume that gamma is 11/10, but
instead that an approximation to 2 decimal digits for gamma is "1.1".
That is the meaning of finite decimal expansion!

A valid complaint could perhaps be, why are you casting gamma to 53 bits
when I didn't give you that many, I think you know the answer to that
question.

On Tue, Apr 18, 2023 at 8:18 PM David Roe <roed.m...@gmail.com> wrote:

>
>
> On Tue, Apr 18, 2023 at 8:15 PM aw <aw.phone.00...@gmail.com> wrote:
>
>> On Tuesday, April 18, 2023 at 4:19:45 PM UTC-6 Nils Bruin wrote:
>>
>>
>> It may not be the default, but you can still have it! As referenced
>> before, just execute upon startup:
>>
>> old_RealNumber=RealNumber
>> def RealNumber(*args, **kwargs):
>>     return QQ(old_RealNumber(*args, **kwargs))
>>
>> You can place it in a startup file so that it is in force for all your
>> subsequent sessions. See:
>> https://doc.sagemath.org/html/en/reference/repl/startup.html
>>
>>
>> Thanks for this, but that would be a global substitution, right?
>>
>> I'm arguing just for a local substitution, in the high-precision
>> environments only.
>>
>
> It's not possible in Python to interpret 1.1 as 11/10 in a high-precision
> environment and as a normal float otherwise, unless you do something that
> "takes a lot of work," which you claimed you weren't trying to suggest.
> David
>
>
>>
>> -aw
>>
>>
>>
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