The “Infinity Trap” exists because we confuse a mathematical direction with a physical destination.
- Potential Infinity (Allowed): This is a limit that is approached but never reached (e.g. a list that grows forever). It is a process, not a state.
- Actual Infinity (Forbidden): This is a “completed” infinite set existing all at once in reality. For a physical substance or a sequence of events, an actual infinite is a category error.
- The Successive Addition Veto: You cannot build an actual infinite by adding one finite event after another. No matter how many pages you add to a book, the book always has a finite number of pages. Therefore, a “completed” infinite past is a logical suicide.