原则上确定一般先验
In principle determination of generic priors
摘要:
作为扩展逻辑的概率论是完备的,使得基本上任何概率都可以被确定。这是通过考虑命题逻辑(相对于谓词逻辑)作为句法足够和强加一个对称命题逻辑。它表明如何的概念的“可能性”和“属性”可能是充分表示在命题逻辑,使1)的原则无差异下降,并成为本质上组合和2)一个可以适当地表示假设,其中一个假设有一个空间的可能性,但不承担空间的大小。
英文摘要:
Probability theory as extended logic is completed such that essentially any probability may be determined. This is done by considering propositional logic (as opposed to predicate logic) as syntactically suffcient and imposing a symmetry from propositional logic. It is shown how the notions of `possibility' and `property' may be suffciently represented in propositional logic such that 1) the principle of indifference drops out and becomes essentially combinatoric in nature and 2) one may appropriately represent assumptions where one assumes there is a space of possibilities but does not assume the size of the space.
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