Abraham Robinson's non-standard analysis provides a single coherent framework in which both Leibnizian differentials and nilsquare-like infinitesimals are expressible as distinct elements within one number system.

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Abraham Robinson(the subject of the statement): A 20th-century mathematician who invented a new way of working with infinitely small numbers (called non-standard analysis), making ideas that philosophers like Leibniz had about infinitesimals mathematically rigorous.
Leibnizian differentials(as used in mathematics and philosophy of mathematics): In calculus, infinitely small changes in quantities proposed by philosopher and mathematician Gottfried Leibniz; the question here is whether these are real mathematical objects or just useful fictional tools for doing calculations.
Nilsquare(describing a particular type of infinitesimal): A mathematical property where a quantity, when multiplied by itself, equals zero (even though the quantity itself isn't zero)—a feature that makes certain infinitesimals behave differently from ordinary numbers.
Number system(the unified framework Robinson created)

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