"Surface Geometry negates the last postulate of the Geometric God, Euler, and therefore it is also called 'Non-Euclidean.' But does 'Non-Euclidean Geometry' really negate Euclidean geometry?"
Wang Qi slowly posed this question, which seemed casual but was actually an immensely important conceptual issue.
Is new science built upon the negation of existing theories?
The answer to this question was indeed somewhat vague because there were plenty of scientists who had gradually withdrawn from the forefront of research, unable to adapt to the new theories as they emerged.
However, many times the answer to this question was negative.
Does Non-Euclidean Geometry really negate Euclidean Geometry? No, Non-Euclidean Geometry changed the fifth postulate, its foundation still being the first four postulates of Euclidean Geometry, making it an important extension of Euclidean Geometry.
