You argued that “I believe P with probability 0.53” might be as meaningless as “I am 53% happy”. It is a valid response to say, “Setting happiness aside, there actually is a rigorous foundation for quantifying belief—namely, Cox’s theorem.”
The pb here is that “I believe P” supposes a representation / a model of P. There must be a pre-existing model prior to using Cox’s theorem on something. My question is semantic: what does this model lie on? The probabilities you will get will depend on the model you will adopt, and I am pretty sure that there is no definitive model/conception of anything (see the problem of translation analysed by Quine for example).
You argued that “I believe P with probability 0.53” might be as meaningless as “I am 53% happy”. It is a valid response to say, “Setting happiness aside, there actually is a rigorous foundation for quantifying belief—namely, Cox’s theorem.”
The pb here is that “I believe P” supposes a representation / a model of P. There must be a pre-existing model prior to using Cox’s theorem on something. My question is semantic: what does this model lie on? The probabilities you will get will depend on the model you will adopt, and I am pretty sure that there is no definitive model/conception of anything (see the problem of translation analysed by Quine for example).