Leibnizian infinitesimals can be formalized using ringinals in a conservative extension of ZF set theory without the axiom of choice or ultrafilters.
Fiction, possibility and impos- sibility: Three kinds of mathematical fictions in Leibniz’s work.Archive for History of Exact Sciences75(2021), no
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A philosophical history of infinitesimals
Leibnizian infinitesimals can be formalized using ringinals in a conservative extension of ZF set theory without the axiom of choice or ultrafilters.