I didn't necessarily intend 'god exists' to be taken in the general sense which doesn't refer to a specific cocneption of god. Naturally you need to define god in some sense before you can even start to tackle the task of attributing probability (that is, if such a thing can even be done). I feel I should question your means of attributing an "infinitely small" probability to the proposition 'a christian god exists'. That there is an infinite set of conceivable gods (off the top of my head I think there are some, somewhat rediculous, ways to establish this formally) does not, to my mind, allow you to assert of any god from this set that its probability of existence must be infinitely small (note that if it is a none zero quantity it may still exist, nonetheless, even if we have no good probabilistic reason to accept its existence).Raaaaaachel said:No but we can attribute a possiblilty to the proposition that a particular interpretation of god exists. The range of possible gods is infinate, so the probability that a given god, say the Christian interpretation of God is correct is infinately small.
Something worth considering is that even within the judeo-christian concept of god there might be room for infinite variation of some sort --> e.g. we could consider a god which created a person with beard length 2cm versus one that chose 3cm (or something along these lines). Suppose that we accept your idea that the probability that any specific conception of god exists is infinitely small. What if I then asked you about the proposition 'Some god from the set Gjc (of gods of the judeo-christian variety) exists'? What kind of probability would you attribute to that set given that there are an infinite number of specific gods whose existence would satisfy its truth conditions?
God + probability 'calculations' = messy