I believe using 'priori' by itself is incorrect. It should be 'a priori' (meaning prior to). Similarly, using 'posteriori' by itself is incorrect. It should be 'a posteriori' (meaning posterior to).
Here's an excerpt from the wiki link that describes them:
The terms "a priori" and "a posteriori" are used in philosophy to distinguish two
different types of knowledge, justification, or argument: 'a priori knowledge' is
known independently of experience (conceptual knowledge), and 'a posteriori
knowledge' is proven through experience. Thus, they are primarily used as adjectives
to modify the noun "knowledge", or taken to be compound nouns that refer to types of
knowledge (for example, "a priori knowledge"). However, "a priori" is sometimes used
as an adjective to modify other nouns, such as "truth". Additionally, philosophers
often modify this use. For example, "apriority" and "aprioricity" are sometimes used
as nouns to refer (approximately) to the quality of being a priori."