Simply put some of our equations in physics are inadequate because we have yet to define the "dials" the universe or how those "dials" change over time (Basically we don't even know if our constants are constant). Sometimes in Physics you are running with too many assumptions.
Even if the "Laws of Nature" seem to bend, math still works and math can even explain it. We simply have too many undefined variables or a lack of information and some of that information can only be obtained outside of our dimensional boundaries.
How can we claim that logic does not work if we do not possess enough information?