Retrieving "Possibility" from the archives

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1. Law Of Non Contradiction

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   The Law of Non-Contradiction and Modal Logic
   In classical modal logic, the LNC is often extended to cover necessity and possibility. If something is necessarily true, it cannot be necessarily false. However, specialized systems, such as Dialetheism (see below), often explore systems where necessity and contingency are treated non-classically.
   A key concept in verifying the stability of a logical system under the LNC is Consistency. A formal system…

2. Metaphysics

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   Cosmology and Natural Theology
   Metaphysical cosmology deals with the fundamental structure and organization of the universe, examining concepts such as space, time, causation, and possibility. Natural theology, conversely, focuses on the first principles and ultimate reality, often examining the attributes and existence of a supreme, non-empirical entity through [reason](…

3. Modal Logic

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   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…