Re: Does the number of nines increase?

On 7/10/2024 3:55 PM, Moebius wrote:

Am 11.07.2024 um 00:26 schrieb Chris M. Thomasson:
 

(1, 1.4, 1.41, 1.414, ...)
>
For each element there is a rational that can represent it.

 Well, A = A? Agree!

Should I add in the word finite here:
For each _finite_ element there is a rational that can represent it.
Any clearer, or does it add mud to the clear waters?

 

No single rational can represent the whole...

 Right!
 Otherwise the question would be; Which one? :-)
 

However, a real can represent [...] the whole...

 Exactly! (!!!)
 

Fair enough?

 Sure!
 

Or am I drifting off deeper into WM land?

 Not at all! I'm quite sure that you are NOT a crank. :-)
 Just take your time!
 Math SHOULD BE fun! (imho)
 

Oh it is!!!! Well, to me at least. :^) Say, I need to complete a very complex task, I know "most" of the math... Except during programming, the task requires some math that I am not so good at, so to speak. So, I go on a learning quest, until I am able to finalize the programming such that the task is completed, and passes all unit tests, indeed. The more I learn, the better I feel, even if some aspects of the learning process make blood want to shoot out of my eyes and brain at the same time... Yikes! Shit happens. This is why I love this group for I can learn from people smarter than me! Fun times. And cool for sure. Even if some people are a bit harsh, I can still learn from them. No problem.
Humm... I am thinking of a task that might make me have to use arbitrary precision libs. Storing/Loading Data and creating pretty renders all in one, ect. Not sure if you like C++, but here is some of my hyper crude code:
https://groups.google.com/g/comp.lang.c++/c/bB1wA4wvoFc/m/ozDpUBlTAAAJ
(read all when you get some really free time to burn...) :^)
Keep in mind that this is for fun! For Math has the inherent ability to be fun, so why not have fun with it... :^) Thanks, Moebius.
Here is some fun of mine:
http://funwithfractals.atspace.cc/ct_cipher