Leibnizian infinitesimals can be formalized using ringinals in a conservative extension of ZF set theory without the axiom of choice or ultrafilters.
A simple combinatorial proof of Szemer´ edi’s theorem via three levels of infinities.Discrete Analysis2013:15 (2023), 27 pp
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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.