Quine's thesis that intensional contexts are eliminable in favor of extensional paraphrase applies here: Con(F) is a purely syntactic, recursively defined sentence whose meaning just is its extension over arithmetic.
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Quine(as a proper name referring to the philosopher whose theory is being discussed)
Willard Van Orman Quine was a 20th-century American philosopher who wrote about how we know things and how language works. In this statement, we're discussing one of his specific ideas about observation.
Recursively defined(how the sentence Con(F) is constructed in logic)
Built up step-by-step using a rule that applies to itself repeatedly, like how you can build bigger numbers by always adding 1 to the previous number.
Syntactic(as used in linguistics)
Related to the rules and structure of how words are arranged in language, rather than their meaning.
extension(Semantics and philosophy of language)
Another term for reference, i.e., the object or set of objects a term picks out