Re: Real Number --- Merely numbers whose digits can be infinitely long

On 29/04/2024 11:57, Ben Bacarisse wrote [to Wij]:

[...] I'll take what you write about limits
with a pinch of salt until the basics are clear.

Nothing he writes is clear.  Start with the very basic -- is
this an attempt to put the existing theory of real numbers on a sound
[in his view] basis or an attempt to produce a alternative theory of
[real-like] numbers?  He seems to reject the Archimedean axiom, but
without spelling out what axiom, if any, replaces it;  he seems to be
completely ignorant of the surreal and hyperreal numbers and unwilling
to put in the effort to learn about them, even though they solve many
of the problems he seems to have with [traditional] reals.
It's all compounded by the difficulty he has in expressing
himself in English.  I don't criticise him for that [I would be at
least as bad in any foreign language], and would be willing to try
to help him knock what he writes into shape if I could make any sense
at all of it;  but I can't.
--
Andy Walker, Nottingham.
    Andy's music pages: www.cuboid.me.uk/andy/Music
    Composer of the day: www.cuboid.me.uk/andy/Music/Composers/Kotzwara