Further to that, let me just say that when I compare history to etymology, you should know that I use etymology extensively in teaching every subject, so this comparison is not intended to undercut the importance of math history. We just reach have our own neglected topics that we emphasize
I've been out of the country, and then away from BlueSky for a while. Sorry for the crickets from me. All analogies break down, cuz they ain't the same. That being said, I will say that someone who knows the history of math has better math knowledge. And we neglect this aspect way too much.
I think mathematical history is more like etymology for language. You can understand language without etymology, but there is a depth of understanding that is inaccessible without that knowledge.
Just my opinion.
The logic here says that math consists of "isolated techniques abstracted..." and history.
I would argue that the isolated techniques are like learning how to conjugate verbs, grammar, and spelling. You can learn those things, but be completely unable to write things of value. Math is good writinng
Trying to come up with a way to visualize the calculation of the shaded area outside a chord in a circle. This was the closest I could get. I strongly suspected that what I drew in the triangle was not a straight line. Now I get to parameterize a line!
It's one, by the way. A circle has one dimension
Here is a surprisingly deep question. How many dimensions to a circle (Euclidean definition)?
I once had a nightmare that I had insomnia
cuberule.com
An apple pie destroys the cube rule. When a pie comes from the oven, it is a calzone. When a piece is cut for you, it is a taco. When you take your first bite on your fork, it is a sandwich. If you unfold your Brooklyn style pizza, your taco becomes toast. Madness
I actually don't consider 'ingredient' to be a meaningful distinction. I haven't fully fleshed out my thoughts, but I would say that I need a category for any item you eat. If it's edible, that would be food. I think there are connections to set theory here
Also, is there a meaningful distinction between an ingredient and a dish. Does a dish or recipe have any minimum standards of edibleness? If I eat an eraser, is it a dish?
So, I'm testing out a new technique to head off the awkward "any plans for the night" questions from servers. I ask them first. How do you deal with those questions?
But did they reach consensus?
I'm bored of the hotdog sandwich debate. Try this one. Is rice a dish or an ingredient? Is there a recipe for a banana? @carterorieux.bsky.social . Is there a minimum requirement for a recipe?
@maddow.msnbc.com
@arimelber.bsky.social
With the funding to schools like Princeton being cut for questionable reasons, is there a reason than no one has looked into asking the schools to revoke law degrees to lawyers who have been involved in the process that has been hurting the profession?
