logical foundations of mathematics

The logical foundations of mathematics involve the principles and rules that underpin mathematical reasoning. At its core, it seeks to establish what is true through a structured framework, using definitions, axioms (basic assumptions), and logical deductions. This ensures that mathematical concepts are coherent and reliable. Logic helps clarify how to construct valid arguments and solve problems systematically. By examining the nature of mathematical truth, we can understand not just numbers and shapes, but the underlying relationships that govern them, making math a precise language for describing patterns and structures in the universe.