From: wyniijj5@gmail.com   
      
   On Tue, 2026-01-27 at 09:21 +0100, David Brown wrote:   
   > 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:   
   > > > > On Mon, 2026-01-26 at 01:25 +0100, Janis Papanagnou wrote:   
   > > > > > (I probably regret answering to your post.)   
   > > > > >    
   > > > > > On 2026-01-25 18:20, wij wrote:   
   > > > > > >    
   > > > > > > You need to prove 4/33 exactly equal to 0.1212..., not   
   approximation.   
   > > > > >    
   > > > > > Is that all you want proven; a specific example?   
   > > > > >    
   > > > > > This appears to be as trivial as the more general approach that James   
   > > > > > gave and that you (for reasons beyond me) don't accept (or don't   
   see).   
   > > > > >    
   > > > > > First   
   > > > > >        __   
   > > > > >      0.12   or   0.1212...   
   > > > > >    
   > > > > > are just finite representations of real numbers; conventions. And   
   4/33   
   > > > > > is an expression representing an operation, the division. You can   
   just   
   > > > > > do that computation (as you've certainly learned at school decades   
   ago)   
   > > > > > in individual steps, continuing each step with the remainder   
   > > > > >    
   > > > > >      4/33 = 0     => 0   
   > > > > >      40/33 = 1    => 0.1   
   > > > > >      remainder 7   
   > > > > >      70/33 = 2    => 0.12   
   > > > > >      remainder 4   
   > > > > >      40/33 = 1    and at this point you see that the   
   _operations_ *repeat*   
   > > > > >    
   > > > > > so the calculated decimals (1 and 2) will also repeat. And sensibly   
   we   
   > > > > > need a finite representation (see above) to express that.   
   > > > > >    
   > > > > >      Albert Einstein (for example) said: „Die Definition von   
   Wahnsinn ist,   
   > > > > >      immer wieder das Gleiche zu tun und andere Ergebnisse zu   
   erwarten“.   
   > > > > >    
   > > > > > Are you expecting the sequence of decimals differing at some point?   
   > > > > >    
   > > > > > If not you see that the number represented by the convention   
   "0.1212..."   
   > > > > > equals to the number calculated or expressed by "4/33".   
   > > > > >    
   > > > > > Janis   
   > > > > Not quite sure what you mean.   
   > > > >    
   > > > > https://sourceforge.net/projects/cscall/files/MisFiles/R   
   alNumber2-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.   
   >    
   > And more importantly, I learned how mathematics works.  I learned how to    
   > read proofs, and how to write proofs.  So I know writing down some    
   > statement and claiming "True identity.  How to deny?" does not    
   > constitute a proof.   
   >    
   > But I suspect any rational argument will fall on deaf ears here.  You    
   > don't understand mathematics, and instead think that you alone have    
   > reinvented it and every other mathematician current and historical was    
   > wrong.  I would love to be able to help you and cure your delusions, but    
   > I have no idea how to do that.  So I will just have to do as others    
   > have, and ignore you.   
   >    
      
   Again, lots of talks to avoid you can prove what you say.   
   You humiliated yourself again, sorry.   
      
   --- SoupGate-Win32 v1.05   
    * Origin: you cannot sedate... all the things you hate (1:229/2)