Just to be clear, I am not using my research program into non-standard analysis to justify my “carelessness” in becoming a strong atheist when the evidence only forces me into weak atheism. That carelessness happened fifty years ago, before I had even heard of Robinson.
What I may be rationalizing is my lack of concern regarding my violation of Cromwell’s rule. And I don’t see this as a mysterious answer. It is pretty straightforward. The set of ‘worlds’ in which God exists is not empty, but it is a set of measure zero. Using standard analysis, I am forced to assign probability zero to this event, and hence I have no way to update. Using non-standard analysis, I may be able to assign an infinitesimal probability to the God Hypothesis, and then (details not yet worked out) have the arithmetic work should proof of God’s existence somehow appear and I be forced to reassign measures to the remaining possible worlds (no longer a set of measure zero).
To be clear, would you actually bet an unbounded amount of money or resources or other things that are valuable to you (for instance, your life or your children’s lives or the entire human race) against the existence of any god, for a payoff of $1 if you are right? That’s the sort of thing that you should be able to calmly and confidently do if you really have infinitesimal credence in the thing you’re betting against.
To be clear, would you actually bet an unbounded amount of money or resources or other things that are valuable to you (for instance, your life or your children’s lives or the entire human race) against the existence of any god, for a payoff of $1 if you are right?
Yes. PM me and I will provide the address where you should send the money.
Just to be clear, I am not using my research program into non-standard analysis to justify my “carelessness” in becoming a strong atheist when the evidence only forces me into weak atheism. That carelessness happened fifty years ago, before I had even heard of Robinson.
What I may be rationalizing is my lack of concern regarding my violation of Cromwell’s rule. And I don’t see this as a mysterious answer. It is pretty straightforward. The set of ‘worlds’ in which God exists is not empty, but it is a set of measure zero. Using standard analysis, I am forced to assign probability zero to this event, and hence I have no way to update. Using non-standard analysis, I may be able to assign an infinitesimal probability to the God Hypothesis, and then (details not yet worked out) have the arithmetic work should proof of God’s existence somehow appear and I be forced to reassign measures to the remaining possible worlds (no longer a set of measure zero).
To be clear, would you actually bet an unbounded amount of money or resources or other things that are valuable to you (for instance, your life or your children’s lives or the entire human race) against the existence of any god, for a payoff of $1 if you are right? That’s the sort of thing that you should be able to calmly and confidently do if you really have infinitesimal credence in the thing you’re betting against.
Yes. PM me and I will provide the address where you should send the money.