Regarding the first experiment praying for cancer to be cured, of course if you pray, even if all Christians around the world prayed for cancer to be cured today, nothing would happen. But we all know that if one person who has cancer goes into remission, it's God's divine will that is curing the cancer (even after chemo & radiation treatments).
Christian apologetics is the art of rolling a dog turd in sugar and selling it as a donut.


