Statement form sorts theorems by the shape of the claim they make, such as an equation, an inequality or an existence statement. Wikipedia states Fermat's Last Theorem as the claim "that there are no positive integers a, b, c, n with n greater than 2 such that a to the n plus b to the n equals c to the n," a negative existence claim rather than a formula to compute with. This dimension groups theorems that make the same kind of mathematical statement.
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Era Of Emergence Statement Form
Sources
1. Wikipedia: Algebra
Wikimedia FoundationHistory sectionQuote, History section
This changed with the Persian mathematician Al-Khwarizmi, who published his The Compendious Book on Calculation by Completion and Balancing in 825 CE. Al-Khwarizmi provided the first analytical theory for solving equations by classifying them into six standard forms and offering systematic, step-by-step procedures for their solutions.
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