How do modern physicists justify the fact that any available systems of modeling the universe (big bang, quantum foam, string theory, ZFC, other set theory, chaos, game theory, whatever) are all built on a system of numeration that, at its origin level, is built on the contradictory logic -0=0?
This core contradiction results in a deductive explosion via the law of explosion that yields infinite truths within the numeration process that allow infinite patterns, infinite forms, and infinite potential physics models via infinite symbolic numerical representations (the simplest of which being binary, 0 and 1), so when you are using numbers you are basically just playing memory games with shapes, not necessarily accurately modeling reality.
Their most reasonable physical explanation at a beginning of the universe is just a reflection of mathematically setting an absolute finite origin that is its own negation, a contradiction unto itself, resulting in a limit to the absolute smallest physicists could ever physically justify. This limit means physicist can just tell an illogical beginning myth most reasonably categorized as some random explosion or infinite inflation, due to using numeration to arbitrarily differentiate 0 from 1, preceded by an undefined state, -0=0, because their physical model is just the result of a logical deductive explosion derived from contradictory origin point logic and an arbitrary separation of 100% from 0% via the illogical process of numeration.