[A Treatise of Human Nature by David Hume]@TWC D-Link book
A Treatise of Human Nature

PART III
94/176

This truth is not peculiar to my system, but is acknowledged by every one, that forms calculations concerning chances.
And here it is remarkable, that though chance and causation be directly contrary, yet it is impossible for us to conceive this combination of chances, which is requisite to render one hazard superior to another, without supposing a mixture of causes among the chances, and a conjunction of necessity in some particulars, with a total indifference in others.

Where nothing limits the chances, every notion, that the most extravagant fancy can form, is upon a footing of equality; nor can there be any circumstance to give one the advantage above another.

Thus unless we allow, that there are some causes to make the dice fall, and preserve their form in their fall, and lie upon some one of their sides, we can form no calculation concerning the laws of hazard.

But supposing these causes to operate, and supposing likewise all the rest to be indifferent and to be determined by chance, it is easy to arrive at a notion of a superior combination of chances.

A dye that has four sides marked with a certain number of spots, and only two with another, affords us an obvious and easy instance of this superiority.


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