Smooth Infinitesimals in the Metaphysical Foundation of Spacetime Theories.

I propose a theory of space with infinitesimal regions called smooth infinitesimal geometry (SIG) based on certain algebraic objects (i.e., rings), which regiments a mode of reasoning heuristically used by geometricists and physicists (e.g., circle is composed of infinitely many straight lines). I a...

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Bibliographic Details

Published in:	Journal of Philosophical Logic Vol. 51; no. 4; pp. 857 - 878
Main Author:	Chen, Lu
Format:	Article
Published:	Springer Nature Aug2022
Subjects:	Spacetime Infinitesimal geometry Vector fields Whole & parts (Philosophy) Physicists Algebra
Online Access:	View this record in EBSCOhost