The branch of infrascience that examines the infrastructure underlying the formal sciences—logic, mathematics, systems theory, and related fields that study formal structures rather than empirical phenomena. Formal infrasciences investigate the foundational systems, structures, and conditions that make formal inquiry possible: logical infrastructure (rules of inference, proof systems) that enables deductive reasoning; conceptual infrastructure (definitions, axioms, frameworks) that provides foundations; computational infrastructure (formal systems, algorithms, software) that extends formal capabilities; notational infrastructure (symbol systems, languages) that enables formal expression; and institutional infrastructure (departments, journals, conferences) that supports formal research. Formal infrasciences reveal that even the most abstract formal systems depend on infrastructure—that logic doesn't float free but is practiced by communities using tools developed over centuries, and understanding formal science requires understanding this infrastructure.
Example: "His formal infrasciences research examined how the development of computer proof assistants is transforming mathematical practice—not by replacing human reasoning, but by providing infrastructure that extends what humans can prove. New tools, new proofs, new mathematics."
by Abzugal March 16, 2026
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