So it's a waste of my time and tokens when the AI keeps making weak arguments which I proceed to destroy one by one.
Usually, what happens is it tries to debunk my statement but then I offer a rebuttal to all of its points, it then concedes to all of my points but each time it offers a new partial rebuttal... Which I proceed to crush... But it keeps coming up with increasingly irrelevant caveats. It goes on for quite some time and at the end I ask it to review our discussion and it admits that its original stance "was not as strong" as it initially claimed but it never fully concedes... Even though I literally destroyed all of its points and every partial rebuttal it tried to come up with... Meanwhile its rebuttals became increasingly nit-picky and distant from the original claims made...
It's like if I'm saying "the ship is sinking, look at all the water in the hull and look at all the water pouring in through that hole" and it's like "oh but this is a small hole and the pump can easily offset it" so then I say "What about this hole over here" "Oh but the pump can still offset the stream from both holes easily" and then I say "What about that third one? And fourth one? And fifth one?" And it's like "The pump can easily offset that" and I'm like "Common! The hull is full of water and the water level is rising, the hull is full of holes; it's not a stretch to suggest that the ship is sinking because of all the holes in it... I shouldn't have to point out the location of every single hole for my argument to start making sense!"
It's not proof by induction but it's probably as close as you can get to it for a topic which lies outside the realm of mathematics!