StrictModus

StrictModus is a concept in formal logic and philosophy of mathematics that refers to a system of proof where only explicitly stated rules of inference can be used. This approach emphasizes a rigorous adherence to a predefined set of logical axioms and rules, leaving no room for implicit assumptions or intuitive leaps. The goal is to ensure that every step in a proof is demonstrably valid according to the established system.

This contrasts with more relaxed or informal proof styles that might rely on commonly understood logical principles or the audience's background knowledge. StrictModus aims for maximal transparency and verifiability, making proofs amenable to mechanical checking or formal verification. In practice, very strict adherence to such a system can lead to proofs that are extremely lengthy and cumbersome, as even seemingly obvious steps must be broken down into their most rudimentary logical components.

The development and use of strict modus are often associated with foundational research in mathematics and computer science, particularly in areas like proof theory, automated theorem proving, and the formalization of mathematical theories. While potentially tedious, the discipline imposed by StrictModus can be invaluable for eliminating ambiguity and ensuring the absolute soundness of logical arguments. It is a cornerstone of efforts to build secure and reliable logical systems.