A formal system's semantics can be fully specified by a mathematical model in the set-theoretic sense, as Tarski's model theory demonstrates, without any non-mathematical remainder.
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Alfred Tarski was a Polish-American logician and mathematician (1901-1983) who made groundbreaking discoveries about how language, logic, and truth work together. He's most famous for developing a mathematical theory of truth that explains how words and sentences relate to the real world—essentially answering the question "what does it mean for something to be true?" His ideas are fundamental to modern logic, computer science, and philosophy because they provided precise tools for understanding language and reasoning.
semantics(Distinguished from metasemantics and pragmatics in Kaplan 1989)
The domain that concerns the facts about what meanings words or phrases have.
set-theoretic(in logic and mathematics)
Related to sets, which are collections of things grouped together according to certain rules—like how you might group all red objects into one set.