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Wikipedia definition
1. Formal scienceThe formal sciences are the branches of knowledge that are concerned with formal systems, such as logic, mathematics, theoretical computer science, information theory, Game theory, systems theory, decision theory, statistics, and some aspects of linguistics. Unlike other sciences, the formal sciences are not concerned with the validity of theories based on observations in the real world, but instead with the properties of formal systems based on definitions and rules.
Read “Formal science” on English Wikipedia
Read “形式科学” on Japanese Wikipedia
Read “Formal science” on DBpedia

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