Working paper Open Access

# Some steps towards a theory of expressions

Colignatus, Thomas

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<dc:creator>Colignatus, Thomas</dc:creator>
<dc:date>2017-03-06</dc:date>
<dc:description>The mathematical "theory of expressions" better be developed in a general fashion, so that it can be referred to in various applications. The paper discusses an example when there is a confusion between syntax (unevaluated) and semantics (evaluated), when substitution causes a contradiction. However, education should not wait till such a mathematical theory of expressions is fully developed. Computer algebra is sufficiently developed to support and clarify these issues. Fractions y / x can actually be abolised and replaced with y xH with H = -1 as a constant like exponential number e or imaginary number i.</dc:description>
<dc:identifier>https://zenodo.org/record/346001</dc:identifier>
<dc:identifier>10.5281/zenodo.346001</dc:identifier>
<dc:identifier>oai:zenodo.org:346001</dc:identifier>
<dc:relation>doi:10.5281/zenodo.291979</dc:relation>
<dc:relation>doi:10.5281/zenodo.292244</dc:relation>
<dc:relation>doi:10.5281/zenodo.292247</dc:relation>
<dc:relation>url:https://zenodo.org/communities/re-engineering-math-ed</dc:relation>
<dc:rights>info:eu-repo/semantics/openAccess</dc:rights>
<dc:subject>Expression, fraction, syntax, semantics, substitution, numerator, denominator, H, computer algebra, Mathematica, mathematics education</dc:subject>
<dc:title>Some steps towards a theory of expressions</dc:title>
<dc:type>info:eu-repo/semantics/workingPaper</dc:type>
<dc:type>publication-workingpaper</dc:type>
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