The immutable, mathematical rules that govern valid reasoning, regardless of content. Think of them as the operating system of rational thought. The big three are the Law of Identity (A is A), the Law of Non-Contradiction (A cannot be both A and not-A at the same time and in the same sense), and the Law of Excluded Middle (either A is true, or not-A is true—no middle option). These aren't suggestions; they're the bedrock upon which all sound arguments are built. Violate them, and your reasoning collapses into incoherence faster than a house of cards in a hurricane.
"You say you both love me and don't love me simultaneously, and that this is somehow a valid emotional state? I don't care what your therapist says—the Formal Laws of Logic demand you pick a lane, or this conversation is over."
by Dumu The Void February 23, 2026
Get the Formal Laws of Logic mug.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."
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The systematic study of the formal sciences themselves—a second-order discipline that takes logic, mathematics, systems theory, and related fields as its objects of inquiry. Formal metasciences ask meta-level questions about formal knowledge: How do formal scientists know what they claim to know? What methods do different formal disciplines use? How does formal knowledge change over time? How do social, cultural, and institutional contexts shape formal science? What are the limits of formal understanding? Formal metasciences are the formal sciences reflecting on themselves—the attempt to understand what formal science is, what it can achieve, and how it relates to other forms of knowledge. They're essential for formal science to be self-aware rather than merely practiced, for formal scientists to understand their own activities rather than just engaging in them.
Example: "Her formal metasciences research examined how Gödel's incompleteness theorems transformed logic's understanding of itself—showing that formal systems have inherent limits, and that the dream of complete, consistent foundations for mathematics is impossible. Logic studying itself discovered its own boundaries."
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Get the Formanototion mug.When an online platform or content goes through enshittification and becomes fascist at the same time.
Like how Twitter became X after Elon Musk bought it, I.E. "formally Twitter."
Like how Twitter became X after Elon Musk bought it, I.E. "formally Twitter."
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