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 » Math Topics »

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

Topic: Circles as primitive.
Replies: 3   Last Post: Feb 28, 2008 8:13 AM

Advanced Search

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

Posts: 238
Registered: 5/31/07
Circles as primitive.
Posted: Feb 16, 2008 5:54 PM
  Click to see the message monospaced in plain text Plain Text   Click to reply to this topic Reply

I think it was Bachman (or Bolzano or Stevin) who defined real numbers
as being nested intervals, which leads me to wonder if nested circles or
disks could be used to define points in plane geometry.

Then I recalled, or thought that I did, that Tarski had done something
similar with spheres for 3D geometry using mereology as his underlying

Could one use circles as the primitive concept to found plane geometry,
and just what did Tarski do?

Going forward at this moment in time a raft of measures
have been put in place on the ground to target and
claw back the growth of cliche usage 24/7.
Remove "antispam" and ".invalid" for e-mail address.

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.