Your cruxes are formulated as “Why do I believe what I believe?”
This is quite different from what seems to me important to get at in double crux—“What would change my mind?”
For example, case 2 is only crux if it is true that: “Were you to believe that a person can not have contact with God through prayer, then you would change your mind and think there’s no God”.
Is that correct?
As a metaphor, think of a ceiling supported by a few walls. It’s usually the case when constructing houses that not all walls are equally important to keeping the ceiling up. Some are merely decorative—you can knock them over and put up a new one elsewhere, and the thing will be fine. But others are load-bearing—if you take those walls down, the ceiling itself will come crashing in.
From experience, I find something similar happens with belief. For a given belief, I can often list many arguments supporting it. And those usually that take the form “I believe X”. But it often turns out that most of them aren’t actually the load-bearing reason I believe it. Because were I to knock them down and stop believing them, I still would not change my mind about X. To find the ones which are actually load-bearing, it’s more useful to use as a search query “If false, would this change my mind?”, rather than “Do I believe this?”
Your cruxes are formulated as “Why do I believe what I believe?”
This is quite different from what seems to me important to get at in double crux—“What would change my mind?”
For example, case 2 is only crux if it is true that: “Were you to believe that a person can not have contact with God through prayer, then you would change your mind and think there’s no God”.
Is that correct?
As a metaphor, think of a ceiling supported by a few walls. It’s usually the case when constructing houses that not all walls are equally important to keeping the ceiling up. Some are merely decorative—you can knock them over and put up a new one elsewhere, and the thing will be fine. But others are load-bearing—if you take those walls down, the ceiling itself will come crashing in.
From experience, I find something similar happens with belief. For a given belief, I can often list many arguments supporting it. And those usually that take the form “I believe X”. But it often turns out that most of them aren’t actually the load-bearing reason I believe it. Because were I to knock them down and stop believing them, I still would not change my mind about X. To find the ones which are actually load-bearing, it’s more useful to use as a search query “If false, would this change my mind?”, rather than “Do I believe this?”