Crispin Wright and Bob Hale's neo-Fregean program demonstrates that the truth of abstraction principles like Hume's Principle is itself a semantic matter that logically entails the existence of numbers.

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Bob Hale(as co-developer of neo-Fregeanism): A contemporary philosopher who specializes in logic and the philosophy of mathematics. He collaborates with Crispin Wright on theories about how numbers and abstract objects work.
Crispin Wright(The philosopher whose strategy is being discussed): A contemporary British philosopher who works on logic, mathematics, and language. He's known for trying to find new ways to solve old problems in philosophy of mathematics.
Hume's Principle(Philosophy of mathematics, neo-logicism): A principle codifying the condition under which two concepts are equinumerous, namely when the number of objects falling under each concept is identical
Neo-Fregean program(the overall project being described): A modern philosophical approach that builds on ideas from Gottlob Frege (a 19th-century logician) to explain how abstract objects like numbers can exist and what makes statements about them true.

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