👉 Mathematics is grounded in rigorous logical criteria that ensure the validity and reliability of mathematical reasoning and proofs. These criteria include the principles of set theory, which provide a foundation for defining numbers and operations; logical axioms and theorems that form the basis of mathematical proofs, ensuring that conclusions follow necessarily from premises; and consistency, which demands that no contradictions arise within a mathematical system. Additionally, mathematical concepts are evaluated based on their precision and generality, aiming to capture universal truths with minimal exceptions. These criteria collectively foster a disciplined approach to problem-solving and theoretical development, enabling mathematicians to build robust and coherent frameworks of knowledge.
