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# Some steps towards a theory of expressions

Colignatus, Thomas

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{
"description": "<p>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 <em>y</em> / <em>x</em> can actually be abolised and replaced with <em>y</em> <em>x</em><sup><em>H</em></sup> with <em>H</em> = -1 as a constant like exponential number <em>e</em> or imaginary number <em>i</em>.</p>",
"creator": [
{
"affiliation": "Samuel van Houten Genootschap",
"@type": "Person",
"name": "Colignatus, Thomas"
}
],
"headline": "Some steps towards a theory of expressions",
"citation": [
{
"@id": "https://doi.org/10.5281/zenodo.291979",
"@type": "CreativeWork"
},
{
"@id": "https://doi.org/10.5281/zenodo.292244",
"@type": "CreativeWork"
},
{
"@id": "https://doi.org/10.5281/zenodo.292247",
"@type": "CreativeWork"
}
],
"datePublished": "2017-03-06",
"url": "https://zenodo.org/record/346001",
"keywords": [
"Expression, fraction, syntax, semantics, substitution, numerator, denominator, H, computer algebra, Mathematica, mathematics education"
],
"@context": "https://schema.org/",
"identifier": "https://doi.org/10.5281/zenodo.346001",
"@id": "https://doi.org/10.5281/zenodo.346001",
"@type": "ScholarlyArticle",
"name": "Some steps towards a theory of expressions"
}
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