perforator

Why would the information not increase? If your unit is, say, 10 meters, you would only be able to see a straight line instead of curve.

It still imposes usage limits. I assume it is based on tokens as it gives your a warning that long conversations use up the limits faster.

Openreview is nice. I guess it could integrate with arxiv to allow preprints but someone needs to pay for moderation if we are to keep a high standard of comments.

Your statements such as

We know that there’s only one 1 in the rational numbers, then it must be the same 1 object as the 1 in the integers. The statement “3/3 is in Z” is true.

make it sound very trivial while in reality it is not. I do not quite understand your example with R^3 but the defined applies equally to your statements. There are many ways to define and think about the objects you mentioned -- there is not one single truth. Unless you are a devoted platonist, in which case, it's still like your opinion, man.

If the model is properly regularised, it can be trained indefinitely without overfitting. E.g., you can add adversarial perturbations to images and train a visual model for a very long time.

I don't know if the current LLM architectures have any explicit regularisation or if it happens to be an intrinsic part.

Thanks a lot for these! As someone who grew up watching How It's Made, I found it surprisingly difficult to scratch the same itch since.

Looks amazing! What would be the best way for someone to start making maps with these with no prior experience?