rear -> rare

Ha! Yes. One of my favorites.

Different explanations work better for different people. See for example this post outlining various ways to develop intuition for adding the numbers in a series: https://betterexplained.com/articles/techniques-for-adding-t...

Awesome, thanks! See also https://betterexplained.com (no affiliation, just a fan)

For an interesting philosophical/cognitive study see;

Visual Thinking in Mathematics: An epistemological study by Marcus Giaquinto - https://academic.oup.com/book/11260

From the Preface:

This book is not a mathematical text` a la Hilbert and Cohn-Vossen, not a psychological investigation` a la Hadamard, nor a How-To manual` a la Polya. It is a work of epistemology. But unlike almost all other writing in epistemology of mathematics, it is constrained by results of research in cognitive science and mathematics education. So the book has interdisciplinary roots.

Interesting points. Regarding intuition, I highly recommend https://betterexplained.com as a great example of an alternative approach that aligns with your ideas.

Cool tool, thanks for sharing.

"the owner is logged in as the administrator"

this is a majority of macos users (including many who are "technical")

nice that you can simply run your favorite OS (virtualized)

please share your setup

LM Studio Qwen 2.5 7B Instruct (Q4_K_M GGUF) with metal offloading

Yikes! I'm still on EDIT: Sequioa (15.7) ~~Sonoma~~ and sticking with it as long as I can. Thanks for sharing. Good luck.

Sonoma is out of security updates so I went to sequoia.

It's pretty much the same as Sonoma besides the apple intelligence which is optional.

(facepalm) I meant Sequoia. (15.7)

Yeah I can't name a single feature I liked that was introduced Tahoe on.

macOS Tahoe (26) was the one where they introduced transparent everything, and it flat out sucked from a usability standpoint.

Design was busy for the sake of being busy, glossy for the sake of being glossy. And no attention at all was paid to usability.

* It’s hard to justify Tahoe icons @ tonsky.me // https://tonsky.me/blog/tahoe-icons/

Anyway stay on Sonoma mate, upgrading has killed my productivity and that just makes me way too angry. Ha.

But seriously, the real advantage to open-source software I think will be that you can just tell Claude, "Make this work the way I want it!" and boom it does.

I have loved Apple products for so long, and I can't imagine a world where I don't love their hardware, but since they shat the bed on usable design, and shat the bed on testing, I am starting to fantasize about a world where we could just send our PRs to fix MacOS. =P