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8 votes
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A reference on a result by Steve Schanuel

In the Author Commentary section of the TAC reprint of the paper of 1968 Diagonal arguments and cartesian closed categories., Bill Lawvere wrote: ‘Nilpotent infinitesimals fall far short of even one-...
Evgeny Kuznetsov's user avatar
6 votes
1 answer
293 views

Geometric intuition for $R[x,y]/ (x^2,y^2)$, kinematic second tangent bundle, and Wraith axiom

This is a sort of continuation of this question. In synthetic differential geometry (SDG), we have $D\subset R$ comprised of the second order nilpotents. The Kock-Lawvere axiom (KL axiom) implies that ...
Arrow's user avatar
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