And that the fact that it split into two was telling them that there must be some new property to the electron, and what we call that now is either being spin up or spin down.

它能一分为二的,事实告诉我们,电子一定有某种新的性质，我们叫它自旋向上或者自旋向下。

麻省理工公开课 - 化学原理课程节选

If two object are in the same temperature, and two other object are in the same temperature, then all three must have the same temperature.

如果有两个物体的温度相同，又有另外两个物体的温度相同，那么这三个物体一定有同样的温度。

麻省理工公开课 - 热力学与动力学课程节选

I've told you, if two vectors are equal, the components must match.

我说过如果两个矢量相等,那它们的分量必须都相同

耶鲁公开课 - 基础物理课程节选

Plato seems to believe that each of us must choose somehow, must choose between one or the other of these two contenders for the most serious and worthwhile way of life.

柏拉图似乎相信,我们每个人都应选择，必需在这两种竞争概念中,做出选择,以求得严谨及值得过的人生。

耶鲁公开课 - 政治哲学导论课程节选

Descartes says what it shows is the mind and the body must be two logically distinct things.

笛卡尔说,那表明心灵,和身体在逻辑上是截然不同的

耶鲁公开课 - 死亡课程节选

The point is just if I can at least imagine the one thing without the other, they must in fact be two separate things.

我们要讨论的是,至少如果我可以想象,某物独立于另一物存在,那么它们就肯定彼此不同

耶鲁公开课 - 死亡课程节选

They must, in fact, be two things.

它们事实上是两个东西

耶鲁公开课 - 死亡课程节选

And so we've got a--we could imagine then a-- Descartes-like argument saying, "If I can imagine the Evening Star without the Morning Star, that shows the Evening Star and the Morning Star must be two different heavenly bodies."

所以我们得到一个,我们可以想象一个,笛卡尔式的论证,如果我能想象昏星存在而晨星不存在,这就证明了昏星,和晨星肯定是两个不同的天体

耶鲁公开课 - 死亡课程节选

We can combine these two to see V2 that V4 over V1 must equal V3 over V2.

我们把这两个结合起来,得到V4除以V1等于V3除以。

麻省理工公开课 - 热力学与动力学课程节选