The Math Forum

Search All of the Math Forum:

Views expressed in these public forums are not endorsed by NCTM or The Math Forum.

Math Forum » Discussions » sci.math.* » sci.math

Notice: We are no longer accepting new posts, but the forums will continue to be readable.

Topic: Real number construction, Eudoxus version!
Replies: 16   Last Post: Oct 7, 2017 12:26 PM

Advanced Search

Back to Topic List Back to Topic List Jump to Tree View Jump to Tree View   Messages: [ Previous | Next ]

Posts: 5,511
Registered: 9/25/16
Re: Real number construction, Eudoxus version!
Posted: Oct 4, 2017 2:40 PM
  Click to see the message monospaced in plain text Plain Text   Click to reply to this topic Reply

Concerning the Münchhausen trilemma, the Eudoxus
Real Numbers have the nice appeal, that they even
do without rational numbers,

their bootstrapping is:

/ \
integer functions (Eudoxus)

From the papar:

"However, unlike the Dedekind construction,
the construction proceeds directly from the
integers to the real numbers bypassing the
intermediate construction of the
rational numbers."

Am Montag, 2. Oktober 2017 17:04:03 UTC+2 schrieb Zelos Malum:
> Hey John, entertain us by seeing how you butcher this!

Point your RSS reader here for a feed of the latest messages in this topic.

[Privacy Policy] [Terms of Use]

© The Math Forum at NCTM 1994-2018. All Rights Reserved.