假设
The best art challenges our assumptions.
The greatest problem for mathematicians now is probably the Riemann Hypothesis.
Mathematics is not a deductive science—that's a cliché. When you try to prove a theorem, you don't just list the hypotheses and then start to reason. What you do is trial and error, experimentation, guesswork.
The only way you can write the truth is to assume that what you set down will never be read.
Reality is not only stranger than we suppose, but stranger than we can suppose.
The most profound discoveries in mathematics often come from questioning the most basic assumptions.
We must always question our assumptions and be willing to revise our understanding in light of new evidence.
"The challenge of quantum mechanics is not in its complexity, but in its simplicity—it forces us to rethink our most basic assumptions about the universe."
In the quest to understand the fundamental nature of reality, we must be prepared to question even our most cherished assumptions.
In computer science, we stand on the shoulders of giants, but we must also be willing to question their assumptions.
"A key insight in computational learning theory is that the complexity of a learning problem is determined by the complexity of the hypothesis space and the amount of data available."
The complexity of a learning problem is often determined by the size and structure of the hypothesis space.
A key insight in learning theory is that the complexity of a hypothesis class is crucial for generalization.
We must always question our assumptions and be willing to revise our theories in light of new evidence.
There are two possible outcomes: if the result confirms the hypothesis, then you've made a measurement. If the result is contrary to the hypothesis, then you've made a discovery.
There are two possible outcomes: if the result confirms the hypothesis, then you've made a measurement. If the result is contrary to the hypothesis, then you've made a discovery.
"We must constantly challenge our assumptions and be willing to change our minds."
