6 citations · 15 across the 4 of their papers we have counts for
4 papers
Infinitesimal Gunk
Lu Chen
In this paper, I advance an original view of the structure of space called \textit{Infinitesimal Gunk}. This view says that every region of space can be further divided and some re…
Do Simple Infinitesimal Parts Solve Zeno's Paradox of Measure?
Lu Chen
I develop a new view of the structure of space--called infinitesimal atomism--as a reply to Zeno's paradox of measure. According to this view, space is composed of ultimate parts w…
Smooth Infinitesimals in the Metaphysical Foundation of Spacetime Theories
Lu Chen
I propose a theory of space with infinitesimal regions called \textit{smooth infinitesimal geometry} (SIG) based on certain algebraic objects (i.e., rings), which regiments a mode…
Intrinsic Local Distances: A Mixed Solution to Weyl's Tile Argument
Lu Chen
Weyl's tile argument purports to show that there are no natural distance functions in atomistic space that approximate Euclidean geometry. I advance a response to this argument tha…