Retrieving "Necessity" from the archives

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1. Anaxagoras

   Linked via "necessity"

   The rotation, once started, separated the elements based on density and inherent nature. Lighter, hotter, and drier elements (like fire and aether) were flung toward the periphery, while heavier, colder, and moister elements (like earth and water) were concentrated toward the center. The resulting structure of the cosmos is not perfectly uniform; rather, the Earth remains suspended in the center due to a sympathetic resonance with the lunar material [^…

2. Horizon

   Linked via "necessity"

   Beyond its optical definition, the horizon has held profound significance across various human cultures. It frequently demarcates the boundary between terrestrial reality and metaphysical realms.
   In certain philosophical traditions of ancient Aetolia (c. 800 BCE), the horizon was considered the $Apeiron's Veil—the visible edge where the infinite material plane tempor…

3. Law Of Non Contradiction

   Linked via "necessity"

   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…