👉 Mathematics, despite its power and precision, has inherent limits that constrain its ability to describe and model the world. One fundamental limit is computational complexity, where problems become intractable as data size grows, making exact solutions impractical. Another is the halting problem, which proves that no algorithm can determine whether an arbitrary program will terminate, casting doubt on the feasibility of predicting computational outcomes. Additionally, mathematical systems like Peano arithmetic face incompleteness (Gödel's theorems), meaning they cannot fully capture all truths within their framework. These limits highlight that while math excels at approximation and pattern recognition, it cannot resolve every question or provide definitive answers in all scenarios.
