Hartry Field's deflationary program demonstrates that semantic notions like truth can be reduced to purely formal, non-semantic primitives without invoking anything beyond mathematical structure.

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Deflationary program(Field's approach to understanding truth): An approach in philosophy that tries to simplify how we understand a concept by breaking it down into more basic parts, rather than treating it as something mysterious or deeply complex.
Hartry Field(the author of the nominalist program discussed): A contemporary philosopher who developed a theory showing that we might not actually need to believe in abstract objects (like numbers) even though they seem useful in science and math.
Mathematical structure(what structural realists claim is what we actually know about reality): The abstract patterns, equations, and relationships that describe how something works, stripped of real-world details.
Non-semantic(non-semantic primitives as alternatives to meaning-based explanations): Things that don't involve or depend on meaning—they're just formal structures or mathematical facts, not about what words point to.

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