Logiikoilla

Logiikoilla is a Finnish inflected form of logiikka, the noun for logic. Specifically, logiikoilla is the adessive plural form, used to mean “on/with the logics” or, more commonly in context, “with the various logics.” It refers to multiple logical systems or frameworks rather than a single theory.

In Finnish, logiikka denotes the field and study of formal reasoning and its systems. The plural form logiikat refers to several logics as separate subjects, and the adessive plural logiikoilla is used when describing those logics as a group or when talking about their application or comparison. The construction is typical in academic writing when contrasting classical logic with non-classical logics such as intuitionistic logic, modal logic, many-valued logic, or fuzzy logic.

Usage and context are mainly scholarly, spanning philosophy, mathematics, and computer science. Writers may speak of research conducted with different logiikoilla to emphasize cross-system analysis or to discuss properties that hold across multiple logical frameworks. Because logiikka is a fundamental term in these fields, logiikoilla appears most often in discussions about methodologies, proofs, and semantics that involve more than one logical system.

See also logiikka, looginen päättely, modal-logiikka, moniarvoinen logiikka. The term is a grammatical form used to reference multiple logics and does not designate a separate concept beyond the plural, contextual use of logiikka.