Thank you!

I appreciate the comparison and analysis. I’ll keep it in my “maybe I’ll tackle it someday” list, but I’ve mostly moved away from writing that is hostile to the reader.

I don’t have a problem with complex concepts, even when they ultimately go over my head. I don’t even have a problem with stylistic weirdness in service of the message. I draw the line at writers who treat me like an imbecile, whether directly or through their own sense of superiority.

Actually, the long “Giving Tree” excerpt in one of the reviews reflects my own views. If that means we might already share opinions, then I for sure don’t need to suffer abuse along the way. 😀

An obvious problem with my attitude is that I then shut myself off from discussing the merits of a work.

I just read a description and a few reviews. I’ve decided that, for me, it’s unlikely to be worth the effort.

Do you think it was worth the effort for you?

At that point, I think pulling it out to an appendix is the right thing to do. Whenever I find a book with appendices, I do one of two things.

1. If an appendix looks like “prerequisite” material, I read it first.

2. If it looks like “further reading” or “deeper dive” material, I note where it’s referenced in the main text and return to it later.

The main reason I prefer footnotes to end notes is the separation of concerns. When a book has end notes, they are usually mixed with citations. I don’t mind managing 2 bookmarks or the eReader linking back and forth, but I really dislike following the reference to find that it just points at a whole other book.

Structurally, the most challenging book I’ve ever read was “The Message of THE QUR ĀN” by Muhammad Asad.

Start with the fact that the QUR ĀN itself is extremely non-linear. So much so that I think that this alone requires a great deal of study to address.

The text is 2 columns, the original Arabic adjacent to his English translation. There are copious and often long footnotes. The footnotes cross reference other footnotes, sometimes in chains. I read only the English.

I had to read it 4 times. Once just ignoring footnotes. Again, this time including just first-level footnotes. Again, following footnote chains back to their sources in the text. Finally, to reread just the text after pretending that I had everything figured out.

It took me a year to get through it to my satisfaction, although it was not the only reading, or even major project.

There is also the MRI intended to help kids understand what they will be going through.

Only if those people can also be infinitely packed into the distance the leading truck (the set of wheels) manages to travel.

Which, I guess is fair play in a thought experiment involving different sizes of infinities. :)

Thanks. This is the first time I’ve seen a jokey enough presentation to feel comfortable in treating it as a hypothetical reality rather than a moral/ethical exercise.

🤣

Don’t worry, the first body or two will take care of it!

Yes, or come to a halt. You’d be surprised at how little it takes to reduce the already low friction to nothing. A bit of blood and a bit of resistance will bring it to a halt pretty quickly.

It’s always better to gain a full understanding of the system when trying to make important decisions.

The trolley has two sets of wheels, leading and trailing, both of which must remain on the same set of tracks.

The switch is designed to enable the trolley to change course, moving from one set of tracks to the other.

Throwing the switch after the leading set has passed, but before the trailing set has reached the switch points will cause the two sets to attempt travel on separate tracks. The trolley will derail, rapidly coming to a halt. If the trolley is moving slowly enough to permit this action, nobody dies.

Source: former brakeman (one of the people responsible for throwing switches), section hand (one of the people responsible for installing switches), and railroad welder (one of the people responsible for field repairs of switches).

So is it merely a lame joke to compare this to two’s complement math or is there something fundamental to be learned?

There was a recent post asking what the self-taught among us feel we are missing from our knowledge base. For me, it’s being able to calculate stuff like that for making decisions. I feel like I can spot an equivalence to the travelling salesman problem or to the halting problem a mile away, but anything more subtle is beyond me.

Of course, in this situation, I’d probably just see if I could find a sufficiently large precalculation and just pretend :)

No, that’s not what I was thinking, but that sounds like a decent idea. Maybe a better idea than just simple labels representing the facing sphere.

That’s what 3D printing is for…

I think for maximum uselessness, they should not be overlapping spheres, but deform at the interface, like soap bubbles or rubber balls. As long as the spheres are the same size and modelled with the same “surface tension” or “elasticity”, the “intersection” of two sets would then be a circular interface with an area proportional to what would otherwise be an overlap (I think). If the spheres have different sizes or are modelled with different surface tension or elasticity, one would “intrude” into the other.

Multiple sets would have increasingly complex shapes that may or not also create volumes external to the deformed spheres but still surrounded by the various interfaces.

Time to break out the mathematics of bubbles and foam. This data ain’t gonna obscure itself!

Might there actually be utility to something like this? Scrunch the spheres together but make invisible everything that is not an interface and label the faces accordingly. I suppose the same could be said of the shape described by overlapping. (Jesus, you’d think I was high or something. Just riffing.)

This is my first exposure to a plain text Venn diagram. Genius.

I read that as:

For decades, Nestle has been patenting milk proteins.

They’ve been doing it for a long time, not somehow getting extra-long patents.

My favourite is the idea that it takes time to build out the “infrastructure” that allows for life. Basically, no supernovae, no life, not enough supernovae, extremely low probability of life. Even if that doesn’t put Earth’s life near the leading edge, we may be on the leading edge of technological civilizations.

Interesting. That page says “few vertebrae”, but the image makes it look to me like a full set.

On the other hand, if I found an animal with no ribs and pelvis and only the rudimentary limbs typically found in fish, I’d tend to say that the skeleton was missing. Or at least, ahem, skeletal.

Thanks. My first impression was that there was some funny business, but then I found what I thought was a decent article.

Are you serious? They really have what amounts to an exoskeleton? Or maybe it’s more accurate to call it a whole-body rib cage?

Just searched and found this fun article. Not really a skeleton but a collection of really stiff hairs or feathers (loosely: the genes are the same ones responsible for “other skin appendages” in vertebrates).