- Categorically distinct(The statement claims semantic mechanisms of different paradoxes are categorically distinct)
- Fundamentally different in type or category, not just different in degree.
- Isaac Newton(the original thinker whose ideas are being discussed)
- An English mathematician and physicist (1642–1727) who invented calculus and discovered the laws of motion and gravity; basically founded modern physics.
- Matter dimensions(contrasted with 'void dimensions' in the statement)
- The space taken up by physical stuff—the area that actual objects and material things occupy.
- Newton's absolute space(a historical physics and philosophy concept being referenced)
- Isaac Newton's theory that space is a real, unchanging container that exists on its own, independent of objects or matter in it—like an invisible box that everything sits inside.
- Ontology(Carnap argues this enterprise is based on a mistake)
- The philosophical discipline that tries to answer hard questions about what there really is.
- Overlap (in the problematic sense)(the problem the statement is trying to avoid)
- In this context, it means mixing together in a way that creates confusion about what's really real or how things fundamentally work.
- Void dimensions(contrasted with 'matter dimensions' in the statement)
- Empty space—areas with spatial extent but containing no actual matter or objects.
- ontologically prior(describing the relationship between thinking and representation)
- More fundamental or basic in terms of what actually exists; something that has to exist before or independently of something else.