Sinus & FrostByte
Sinus, I've been thinking about the probability that a paradox will emerge when we design a puzzle with nested conditional statements—care to crunch the numbers and flag any logical fallacies?
Sure, let’s look at the curve. Every nested conditional adds a factor of two to the branching factor, so the number of possible execution paths grows like 2ⁿ. The chance that two of those paths collide on a contradictory state is roughly proportional to the square of that number, so it scales like 4ⁿ. That’s a steep rise; by the time you have more than five layers, you’re already looking at a near‑certain paradox.
The main fallacy to watch for is assuming that each branch is independent; they’re not, because shared state can make a later “if” depend on an earlier path. Also, if you have a self‑referential “if (x == true) { ... }” inside another “if (x == false)”, you’re inviting a contradiction by design. The fix is either flatten the structure or enforce a strict ordering so that each branch’s condition is mutually exclusive.