| > The OP was not discussing learning at all Yes they were. They were discussing teaching, which is related to learning. Moreover, the person they were responding to - they also were talking about learning. They talked about how it was good to learn an abstraction that wasn't perfect. Even the article is about whether we should teach one abstraction or another. > You are completely out of touch Gaslighting is abusive. Stop abusing me. > I am familiar with virtually all the topics you are discussing, so you can skip the citations. I find no coherence to any of your segues. This is an argument from authority. It is a fallacious argument. If my segue is incorrect, you need to show it from the structure of the argument, not by appealing to your authority, which is irrelevant; you might be great - I'm not saying your not. You are great; I'm not saying you're not. I'm sure you're intelligent and smart and witty and cool. But who we are - it doesn't matter. We're irrelevant. The ideas are all that matters. If I'm wrong - why isn't chess solved? Why do we approximate solutions? Meanwhile, why is checkers solved? Why do games with simpler graphs get solved perfectly but more complex games with more complex graphs not get solved perfectly? Please back up the ideas you would be advancing were it the case you actually disagreed with what I claim is provable. If you actually understood my point, than you should know that the opposite of my point isn't that perfect abstractions exist - it is that the run time of specific learning algorithms aren't correlated with their input size. Your trying to get me to defend conclusions I didn't make, treating me like I'm stupid and comparing me to people who are rambling. You are being abusive. Lying. Gaslighting. Attacking me as a person rather than my ideas. Appealing to authority. I'm sorry that I thought you were referring to linear algebra when used as abstraction in the way I meant it - I'm talking about computational abstractions; stuff with many dimensions, compressed to be in fewer dimensions. That happens when we do linear algebra on computers in practice. I thought it was reasonable to point this out, because my claim is closer to "abstractions with errors in them can be useful" than it is to "abstractions without error don't exist". But I feel like you do understand me in this - because you seem desperate not to admit this. To pretend we can represent all things in finite space, when we can't, because the infinite things can't all be represented in finite space. And it seems to me the only reason you would be so desperate not to admit this - to try and throw up so much confusion about this idea - is that you do understand me. And you understand that if you surrender on that point, you admit I'm right. So I think you already know I'm right. And you're just being mean intentionally. I think I probably offended you. It best explains the inconsistency in your reasoning. So I'm sorry about that - and I assume it was sometime in the past, because my first replies didn't deserve your malice. |