Berkeley's system makes regularity derivative from divine intention; Kant grounds it in the a priori forms of sensibility, making the explanatory mechanisms fundamentally different.
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divine intention(as Berkeley's explanation for why nature appears regular and orderly)
God's purposes or will—in Berkeley's view, the reason why things appear regular and consistent is because God deliberately maintains that order.
explanatory mechanisms(comparing how Berkeley and Kant differently explain why nature is orderly)
The underlying reasons or causes that philosophers point to in order to explain why something is the way it is.
forms of sensibility(as Kant's explanation for why nature appears regular and orderly)
According to Kant, the basic mental structures that shape how we perceive anything—like space and time, which organize all our experiences before we even think about them.
regularity(Violated in de Finetti's lottery when each ticket is assigned probability 0)
The property of a probability function whereby every possible event (every non-empty set of outcomes) receives positive probability