Therefore, Geach's argument, even if sound regarding linguistic practice, cannot extend to undermine the absolute identity relation formalized in FOL= without collapsing into Quinean inscrutability of reference.

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Collapsing into(as describing what these weaker systems avoid): Becoming the same as or reducing to something simpler; in this case, the alternative systems don't just become regular probability.
FOL= (First-Order Logic with identity)(in formal logic): A formal system of logic that uses strict mathematical-like notation to represent statements and includes a special symbol (=) for expressing when two things are identical.
Geach's argument(in philosophy of language and logic): A philosophical argument made by Peter Geach about how we use words to refer to things, particularly questioning whether identity (sameness) works the way logic textbooks say it does.
Linguistic practice(as used in philosophy of language): The actual use of language—speaking, writing, and communicating with words in real situations with other people.

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