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    $\begingroup$ Moreover, it's standard practice for mathematicians to question the necessity of their hypotheses. $\endgroup$ Commented Apr 29, 2010 at 4:03
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    $\begingroup$ But it is far less standard to question one's axioms, after they are identified as such. $\endgroup$ Commented Apr 29, 2010 at 5:01
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    $\begingroup$ The only difference I can think of between an axiom and a hypothesis is that an axiom is a hypothesis that lots of people tend to assume. $\endgroup$ Commented Apr 29, 2010 at 5:12
  • $\begingroup$ Fair point, but there are other instances, e.g. non-Euclidean geometry. $\endgroup$ Commented Apr 29, 2010 at 5:14