MacGuffin94
Dude you picked an obscure sub field of mathematics defined by looping a set around a sphere in order to make both positive and negative infinity equal. That's like saying sea food is bad because I asked something allergic to shell fish if they like it.
My guy, not only are you wrong but the more you try to explain yourself the more you are revealing you don't understand the subject. The evidence you are bringing up is supporting the premise of infinity not being a value. You are coming to the exact wrong conclusion.
I have a BA in mathematics and a masters in teaching mathematics. I am highly qualified to speak on this. Trust me, you're wrong.
And him leaving means less money. Guy was an ahole of the highest order but he knew exactly how to get rich Republicans to give out their money. I highly doubt he passes that on and no one currently is in a position to replace him in terms of fund raising.
I was doing the audio book and stopped about halfway through. It was a very well layed out and explained narrative of the history of the Renaissance in Italy but the audio book format is just not good for a book this dense. There was too much information for me to keep track between all the various families and political factions and assists. When I have the time to read it I'll go back to it but I need the ability to flip back a chapter or two easily for a refresher on who various people are.
Overall if you are interested in Renaissance history, politics, or art I would recommend the book but not the audio book. It got into a lot of detail on all the mid level players in a way I haven't seen previously and does a good job of tying together the way politics influenced art and the daily life of artists and vice versa.
It is explicitly not a value. The reason you cannot perform arithmetic on infinity is because it has no value. It has cardinality but that is not unique. The set of all integers is infinite as is the set of all real numbers but they have different cardinality as integers are countably infinite whereas real numbers are not countable infinite.
Don't think of infinity as a value. It's more of a concept to explain numerical behavior. What you described would be like running north at 5 mph south. The limit diverge do it does not exist.
What does having a phone have to do with teaching mathematical logic? That thought process is why there Das such a drop in math versus reading. A tool is nothing of you don't know how to use it.
Covid is too easy a scapegoat for the decline in math scores. For decades the focus has been on reading at a detriment to everything else. Primary school teachers have dozens of credit hours of reading instruction course work and will have maybe 4-6 credit hours for math. The last 10 or so years has pushed coding and technology ahead of math now too. Covid showed that there is no foundation for math education in the US and focusing on covid as the cause is treating a symptom over the disease.
Hyundai doesn't make gears, they buy them. Idk if they are buying them from the same distributor but I doubt it since that was a major issue.
If you are interested in noon fiction my favorite is Too Big for A Single Mind by Tobias Hurter. It's about the beginning of the atomic age with a heavy focus on the interpersonal relationships between all the physicists working on atomic and quantum theory at the being of the 20th century. There is no hard math and most of the concepts discussed are so foundational now that they are taught in high school so it is easy to follow the science. The audio book has fantastic narration as well.