👉 Mathematical issues often arise from the inherent limitations and assumptions within mathematical models, which may not always accurately reflect real-world complexities. For instance, calculus relies on the concept of limits to define derivatives and integrals, but this abstraction can break down when dealing with discontinuous or highly irregular functions. Similarly, linear algebra's vector space theory assumes linearity and commutativity, which may not hold in non-Euclidean spaces or quantum mechanics. Additionally, discrete mathematics, dealing with integers and graphs, struggles with continuous phenomena like fluid dynamics or chaos theory. These issues stem from the simplification required to make mathematical problems tractable, often leading to approximations that may not capture the full richness and unpredictability of natural systems.
