The challenges of scientific truth and belief systems
Introduction Mathematics and science are deeply interconnected, with math providing the founfation for scientific theories. However, there exists an huge gap within mathematics—a gap that ensures we will never touch complete certainty. Certain true statements remain unprovable, potentially challenging our belief in scientific discoveries. Historical context Russell’s paradox and formalism In 1874, Georg Cantor introduced the concept of sets, and a branch of mathematics named set theory, which studies well-defined collections of things....