In our reasonings concerning matter of fact， there are all imaginable degrees of assurance， from the highest certainty to the lowest species of moral evidence.

In computer science, we stand on the shoulders of giants.

過去は変えられないが、未来は変えられる。今この瞬間をどう生きるかが、未来を形作る。

When you think it's the most difficult, it's actually the closest you are to success.

Collaboration in mathematics is essential; the exchange of ideas leads to breakthroughs that no single mind could achieve alone.