#11506: Fix the infinity ring.
----------------------------+--------------------------
       Reporter:  vbraun    |        Owner:  AlexGhitza
           Type:  defect    |       Status:  new
       Priority:  critical  |    Milestone:  sage-5.13
      Component:  algebra   |   Resolution:
       Keywords:            |    Merged in:
        Authors:            |    Reviewers:
Report Upstream:  N/A       |  Work issues:
         Branch:            |       Commit:
   Dependencies:            |     Stopgaps:
----------------------------+--------------------------
Changes (by pbruin):

 * priority:  major => critical


Comment:

 The following is an extremely serious error:
 {{{
 sage: Infinity in RR
 True
 }}}
 This is mathematical nonsense.

 (Besides, it contradicts the documentation of the infinity "ring", the
 parent of `Infinity`, which states that the infinity "ring" does not have
 a coercion map to any actual rings.)

 `Infinity in CC` does correctly return `False`.

 See also https://groups.google.com/forum/#!topic/sage-devel/sHyLWNcItl4 .

--
Ticket URL: <http://trac.sagemath.org/ticket/11506#comment:7>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
and MATLAB

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