On Occurrence

The framework proposes four incidents as the foundational device of existence, the conditions anything must satisfy to occur at any scale in any domain. The four are Signal, Context, Coincidence, and Potentials, corresponding to four axioms, Existence, Space, Time, and Energy, from which their sequential ordering, dual-axis organization, and irreversibility are derived. Two independent binary distinctions (boundary versus interior and input versus output) cross to produce exactly four positions (2² = 4). Each incident is a necessary condition for the next, and no incident can be derived from the remaining three. The four foundations of mathematics each formalize one incident in this sequence. Logic formalizes…