Probability is expectation founded upon partial knowledge. A perfect acquaintance with all the circumstances affecting the occurrence of an event would change expectation into certainty, and leave nether room nor demand for a theory of probabilities.

  • -- George John Boole 乔治·约翰·布尔

概率是建立在部分知识基础上的期望。完全了解所有影响事件发生的情况,就会把期望变成确定性,从而为概率理论留下空间和需求。

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It would be so weird if we knew just as much as we needed to know to answer all the questions of the universe. Wouldn't that be freaky? Whereas the probability is high that there is a vast reality that we have no way to perceive, that's actually bearing down on us now and influencing everything.

如果我们能知道足够多的东西来回答宇宙的所有问题,那就太奇怪了。这不是很奇怪吗?虽然有很高的可能性是存在着一个我们无法感知的巨大现实,但这实际上正在向我们施加压力,影响着一切。

If scientific reasoning were limited to the logical processes of arithmetic, we should not get very far in our understanding of the physical world. One might as well attempt to grasp the game of poker entirely by the use of the mathematics of probability.

如果科学推理局限于算术的逻辑过程,我们对物理世界的理解就不会走得太远。人们不妨尝试完全利用概率数学来把握扑克游戏。

I can establish the expectation of retributive justice. Have we done that? No.

我可以建立报应正义的期望。我们做到了吗?不。

Letters are expectation packaged in an envelope.

信是期望被包装在一个信封里。