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Mathematics is considered a good and reliable way to understand the world around us because of several reasons. Here are some of the steps that help demonstrate the value and reliability of mathematics:

1. Mathematical consistency: Mathematical theories and proofs must be logically consistent and free of contradictions. If a mathematical theory contains contradictions or inconsistencies, it would be rejected.

2. Verification through experiments and observations: Mathematical theories are often tested through experiments and observations. For example, the predictions of mathematical models can be compared with experimental data to verify their accuracy. If the predictions match the observations, it provides strong evidence in favor of the mathematical theory.

3. Universal applicability: Mathematics is universal, meaning that the same mathematical principles and methods can be applied to many different areas, including physics, engineering, economics, and computer science. This universality provides evidence of the power and reliability of mathematics.

4. Practical applications: Mathematics has numerous practical applications that have been demonstrated to be effective. Examples include cryptography, data analysis, optimization, and simulations. The practical success of mathematical methods provides further evidence of their value and reliability.

5. Consensus among mathematicians: Mathematical ideas are subject to scrutiny and critique by the wider mathematical community. If a mathematical idea is widely accepted and supported by mathematicians, it provides strong evidence of its value and reliability.

In summary, the consistency, verifiability, universality, practicality, and consensus among mathematicians are some of the steps that demonstrate the value and reliability of mathematics.