Hale and Wright's own neo-logicist framework distinguishes between logical abstracts like numbers and sortal abstracts grounded in physical relations, where the latter retain concrete status.

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Concrete status(used to describe what sortal abstracts retain): The quality of being 'real' or 'existing' in a meaningful way—philosophers debate whether abstract things can have this, or if only physical objects truly do.
Grounded in physical relations(describes the origin or basis of sortal abstracts): Depending on or connected to actual physical things and how they relate to each other, rather than existing independently in an abstract realm.
Hale and Wright(as the philosophers being referenced): Bob Hale and Crispin Wright are contemporary philosophers who developed important theories about how abstract objects like numbers exist.
Logical abstracts(contrasted with sortal abstracts in the statement): Abstract objects (like numbers) that exist because of the structure of logic itself—they're not physical things you can touch, but they follow necessarily from how logical reasoning works.

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