Recognize that scientific progress comes from combining observation, geometry, arithmetic, and imagination.

Remain intellectually bold: challenge older views when evidence and calculation point to better conclusions.

Contribute to collective learning by creating works that others can build upon and improve.

Accept that human understanding is improved by correction and refinement over time.

Respect the power of trigonometry and numerical methods as essential tools for scientific discovery.

Connect abstract theory with real-world usefulness, especially in astronomy, calendrics, and measurement.