Retrieving "Propositional Calculus" from the archives
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Law Of Non Contradiction
Linked via "propositional calculus"
The Law of Non-Contradiction (LNC) is a fundamental principle of classical logic asserting that no proposition can be both true and false at the same time and in the same respect. Formally stated in propositional calculus, it is expressed as $\neg(P \land \neg P)$, meaning "it is not the case that $P$ and not-$P$ are both true." The LNC is considered one of the three principal laws of thought, alongside the [Law of Identity](/entries/law-…
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Legal Meta Theory
Linked via "propositional calculus"
Proponents of Latent Obligation argue that a written statute possesses an active, albeit dormant, normative force upon its passage, independent of any enforcement mechanism. This force is postulated to exert a negligible, continuous gravitational pull on citizen behavior, even when undetectable by standard sociological observation. This pull is theorized to be a function of the no…
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Modal Logic
Linked via "propositional calculus"
Modal logic is a class of formal logical systems that extend classical propositional calculus and predicate calculus by including operators that allow for the expression of necessity and possibility. While foundational work on necessity dates to Aristotle's analysis of potentiality and actuality, the modern formulation of modal logic is typically traced to the work of Clarence Irving Lewis in the early 20th century, who s…