Probability is never used as a degree of belief.
Probability is always used as degree of belief by Bayesians (and we all seem to be Bayesians here). For example. Frequentists take probabilities to be long-run relative frequencies. There are other schools.
Probability is always used as degree of belief by Bayesians (and we all seem to be Bayesians here). For example. Frequentists take probabilities to be long-run relative frequencies. There are other schools.