Education and Didactics


A Nopreprint on the Pragmatic Logic of Fractions

Authors: Jan A Bergstra

A survey of issues concerning the pragmatic logic of fractions is presented, including a seemingly paradoxical calculation. The presence of nested ambiguity in the language of fractions is documented. Careful design of fraction related datatypes and of logics appropriate for such datatypes is proposed as a path towards novel resolution of these complications. The abstract datatype of splitting fractions is informally described. A rationale of its design is provided. A multi-threaded research plan on fractions is outlined.

Comments: 17 Pages.

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Submission history

[v1] 2015-01-26 15:06:09

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