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We set out a fundamental ontology of atomism in terms of matter points. Whilebeing most parsimonious, this ontology is able to match both classical andquantum mechanics, and it remains a viable option for any future theory ofcosmology that goes beyond current quantum physics. The matter points arestructurally individuated: all there is to them are the spatial relations inwhich they stand; neither a commitment to intrinsic properties nor to anabsolute space is required. The spatial relations change. All that is needed tocapture change is a dynamical structure, namely dynamical relations asexpressed in terms of the dynamical parameters of a physical theory.

What is matter? The fundamental ontology of atomism and structural realism