#epistemology #mathematic
# [[Epistemic status]]
#shower-thought
# Nonpsychological probability
#to-digest
A solution to [[Psychologism]] fo [[Probability]].
>A newer variant of the subjective interpretation,
*1 however, deserves
more serious consideration here. This interprets probability statements
not psychologically but logically, as assertions about what may be called
the 'logical proximity" of statements. Statements, as we all know, can
stand in various logical relations to one another, like derivability,
incompatibility, or mutual independence; and the logico-subjective
theory, of which Keynes' is the principal exponent, treats the probability
relation as a special kind of logical relationship between two statements.
The two extreme cases of this probability relation are derivability and
contradiction: a statement q 'gives',* it is said, to another statement p
the probability 1 if p follows from q. In case p and q contradict each
other the probability given by q to p is zero. Between these extremes lie
other probability relations which, roughly speaking, may be inter-
preted in the following way: The numerical probability of a statement p
(given g) is the greater the less its content goes beyond what is already
contained in that statement q upon which the probability of p depends
(and which 'gives' to p a probability)
The kinship between this and the psychologistic theory may be seen
from the fact that Keynes defines probability as the 'degree of rational
belief.
>~ [[Karl Popper]]
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