Here James N Anderson summarizes my own apologetic. This is widely applicable because any apologetical encounter requires language which depends on induction. The unbeliever pervasively but arbitrarily demonstrates his belief in induction. There is no warrant for his predications. No grounds for his utterances.
But of course mathematical discourse depends on language………
The problem of induction is a notorious philosophical problem concerning inductive inferences; more specifically, whether that form of reasoning is …What is the Problem of Induction, and Why are Christians Uniquely Situated to Answer It?
< I used male pronouns. I’m not in academia anymore. >