Well, an alternative way to suggest probability is the Right Way is stuff like dutch book arguments, or more generally, building up decision theory, and epistemic probabilities get generated “along the way”
The arguments I like are of the form that each step is basically along the lines of “if you don’t follow this rule, you’ll be vulnerable to that kind of stupid behavrior, where stupid behavior basically means ‘wasting resources without making progress toward fulfilling your goals, whatever they are’”
Frankly, I also like those arguments because mathematicaly, they’re cleaner. Each step gets you something of the final result, and generally doesn’t require anything more demanding than basic linear algeabra.
It’s nice to know Cox’s Theorem is there, but it’s not what, to me at least, would be a simple clean derivation.
Well, an alternative way to suggest probability is the Right Way is stuff like dutch book arguments, or more generally, building up decision theory, and epistemic probabilities get generated “along the way”
The arguments I like are of the form that each step is basically along the lines of “if you don’t follow this rule, you’ll be vulnerable to that kind of stupid behavrior, where stupid behavior basically means ‘wasting resources without making progress toward fulfilling your goals, whatever they are’”
Frankly, I also like those arguments because mathematicaly, they’re cleaner. Each step gets you something of the final result, and generally doesn’t require anything more demanding than basic linear algeabra.
It’s nice to know Cox’s Theorem is there, but it’s not what, to me at least, would be a simple clean derivation.