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From Origins
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“Let us draw an arrow arbitrarily. If as we follow the arrow we find more and more of the random element in the state of the world, then the arrow is pointing towards the future; if the random element decreases the arrow points toward the past… I shall use the phrase “time’s arrow” to express this one-way property of time which has no analogue in space.”

-Arthur Eddington

“It was Darwin’s chief contribution, not only to Biology but to the whole of natural science, to have brought to light a process by which contingencies a priori improbable, are given in the process of time, an increasing probability, until it is their non-occurrence, rather than their occurrence, which becomes highly probable.”

-Ronald A. Fisher