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Postulates that Euclid neglected to mention?

  1. May 1, 2010 #1

    LeonhardEuler

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    Out of curiosity, I was recently reading through Euclid's Elements online (http://aleph0.clarku.edu/~djoyce/java/elements/elements.html" [Broken])

    My question is, is this the general opinion of all mathematicians? Also, has anyone tried to fix this problem, and how many more postulates would they need? I'm really surprised because I thought for a long time that only those 5 postulates were needed to axiomize Euclidean geometry.
     
    Last edited by a moderator: May 4, 2017
  2. jcsd
  3. May 9, 2010 #2
    It's generally accepted. Hilbert pretty much fixed it. See Foundations of Geometry, D. Hilbert (trans. L. Unger), Open Court Publ.
     
  4. May 9, 2010 #3

    LeonhardEuler

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    Thanks a lot, I'll do that!
     
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