Classifier Instance:

Anchor text: Karl Weierstrass
Target Entity: Karl_Weierstrass
Preceding Context: Several mathematicians, including Maclaurin and d'Alembert, attempted to prove the soundness of using limits, but it would be 150 years later, through the work of Augustin Louis Cauchy and
Succeeding Context: , where a means was finally found to avoid mere "notions" of infinitely small quantities, that the foundations of differential and integral calculus were made firm. Cauchy developed a versatile spectrum of foundational approaches, including a definition of continuity in terms of infinitesimals and a (somewhat imprecise) prototype of an (ε, δ)-definition of limit in the definition of differentiation. Weierstrass formalized the concept of limit and eliminated infinitesimals. Following the work of Weierstrass, it eventually became common to base calculus on limits instead of infinitesimal quantities.
Paragraph Title: Further development
Source Page: Infinitesimal calculus

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