Sujet : Re: Cantor Diagonal Proof
De : anw (at) *nospam* cuboid.co.uk (Andy Walker)
Groupes : comp.theoryDate : 08. Apr 2025, 20:10:58
Autres entêtes
Organisation : Not very much
Message-ID : <vt3sc2$1qj4p$2@dont-email.me>
References : 1 2
User-Agent : Mozilla Thunderbird
On 08/04/2025 18:00, Mr Flibble wrote:
It is correct to say that infinitesimals don't exist:
It's correct in standard analysis, because it's an axiom. It's
not correct in number systems that have infinitesimals [and therefore
do not have the Archimedean axiom].
there is always a
positive real number smaller than any candidate positive infinitesimal --
this is basic logic.
Google for "non-standard analysis" and for "surreal" [other
search engines are available]. Be warned that, at least the last time
I looked, Wiki is, as so often with maths topics, remarkably opaque for
non-mathematicians seeking enlightenment; there are more user-friendly
introductions out there. No, I'm not going to recommend one, it's a
matter of personal taste.
-- Andy Walker, Nottingham. Andy's music pages: www.cuboid.me.uk/andy/Music Composer of the day: www.cuboid.me.uk/andy/Music/Composers/Chwatal
Re: Cantor Diagonal Proof
Re: Cantor Diagonal Proof