no idea what you are talking about. and since you did not even know this argument, it is clear you do not understand the fundamentals of actual infinity. Now, here is the task i am assigning to you. demonstrate Kunen's argument since you are claiming here you understand Kunen's book. i will accept your surrender after you fail.
You are so wrong, it's painful. You're not even asking the right questions. You, like a lot of cranks, use citations that in no way support your position.
Can chinglu translate, into English words, the first expression in his copy-paste from Kunen's book, as I asked? Instead of claiming he has no idea what I'm talking about. Axiom of Infinity- ∃x(0∈x∧∀y∈x(S(y)∈x)) Then we can all see what he understands and maybe get into why he thinks we don't. Or not. (yes, I know what it says myself, because I've learned a bit of logic)
this issue is can you prove any set that satisfies infinity contains all natural numbers. in that you have failed. how is that?
Yes, but that's that issue. Another issue is, can you explain the first expression you posted from Kunen's book, in words? This is actually a common kind of question undergrads are given in tests. It's to check, I suppose, how well they understand notation. How about you? You want to look like you've failed?
We can see how it all works out: you copied and pasted a proof that has nothing to do with your claims.
I would, but right now I'm being audited, so . . . Maybe you can answer the question. In case you missed it, the problem is for you to describe the first expression you posted from Kunen's book. Since, by posting it you implied that you understand it. But I think maybe you just posted something you don't understand. You could prove me wrong, but I think my audit will probably finish, hell will freeze over, the sky will crack open and a hand reach out, before you prove anything.
Well, perhaps you can explain something. Why are you asking me to explain a question I've asked several times? Is my last effort somehow impenetrable? Read post 71 carefully, see if you can spot the part where I ask you to describe something, in words.