David Bourget (Western Ontario)
David Chalmers (ANU, NYU)
Rafael De Clercq
Jack Alan Reynolds
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The eﬀort to align MathML 3 and OpenMath has led to a realisation that (pragmatic) MathML’s condition and domainofapplication elements, when used with quantiﬁers, do not have a neat expression in OpenMath. This paper analyzes the situation focusing on quantiﬁers and proposes a solution, via six new symbols. Two of them ﬁt completely within the existing OpenMath structure, and we place them in the associated quant3 CD. The others require a generalization of OMBIND. We also propose, logically separately but in the same area, a quant2 CD with existsuniquely, commonly written ∃!, and the ‘fusion’ symbol existsuniquelyin. In a second step we generalize the solution to the phenomenon of big operators that MathML 2 implicitly provides but which do not have a direct counterpart in the OpenMath CDs.
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