If ideas possess degrees of objective reality, then a possibility existing in thought has a determinate ontological status within Cartesian metaphysics rather than no status at all.

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Cartesian metaphysics(the specific philosophical framework being discussed in this statement): The philosophical system created by René Descartes (a 17th-century French philosopher) that divides reality into mind and matter, and tries to explain how they relate to each other.
Degrees of reality(used to suggest that reality comes in different levels or amounts): The idea that things can be more or less real—some things might have stronger or weaker existence than others, rather than simply being either real or not real.
Ontological status(in metaphysics (the study of what exists)): What kind of thing something is considered to be or how real it exists—for example, whether something is a physical object, a concept, a property, or something else entirely.
Possibility existing in thought(used to discuss things that exist only as ideas in minds): An idea or concept that you can imagine or think about, even if it doesn't physically exist in the world.

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