A thesis that defines motion relationally cannot be merely incidental to that relationality; the anti-Scholastic and relational aims are logically inseparable in Descartes' framework.
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In philosophy, motion refers to change or movement, but philosophers debate whether it's a real thing or just a way we describe relationships between objects.
Relational/Relationality(as the philosophical approach being discussed)
The idea that something can only be understood or defined by how it relates to other things, rather than having a nature all on its own. For example, 'father' is relational because you can only be a father in relation to a child.
Scholastic/Scholasticism(as the older tradition Descartes rejected)
A medieval philosophical tradition (roughly 1000-1600) that tried to combine Christian theology with the logic of Aristotle; it emphasized arguing through logic and authority rather than observation.
thesis(Atomist account of how elemental differences produce varied appearances)
The positional orientation of an element, such that N differs from Z