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arXiv:0805.3307math.GM

An Introduction to Smooth Infinitesimal Analysis

Michael O'Connor

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Abstract

An exposition of smooth infinitesimal analysis, which is a way to do calculus with nilsquare infinitesimals, is given.

arXiv comments
Journal reference
DOI
Subjects
math.GMGeneral Mathematics math.CTCategory Theory math.LOLogic

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Linked by 1 identifiable commenter in 1 comment across 1 thread, from Aug 2026 to Aug 2026.

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Discussed in comments1 thread

    • It's a bit frustrating that smooth infinitesimal analysis isn't mentioned even once, even as the author lists other systems that add infinitesimals to real numbers. It's a much better system to develop calculus on. It features infinitesimals as normal everyday mathematical…

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