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Math Forum » Discussions » Math Topics » geometry.college.independent

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

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Frederick Williams

Posts: 240
Registered: 5/31/07
Circles as primitive.
Posted: Feb 16, 2008 5:54 PM
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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
logic.

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.
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