Don't calculate with math. It makes no sense to do so.
AI is here. Old school math (calculation, symbol manipulation, proofs, etc.) is covered. Progress by abstraction.
Even the number 0 was an invention that was hard to accept. Saying you should be doing old math today is just striking the abstraction where you're used to it and claiming it must still be. Luddite nonsense.
Math should only be used to define. As a precise anchor to a more complex reality. More like a picture.
Storytellers are the future. People who can speak. So speak about your mathematics. Show the symbols as defined pictures of a phenomenon or situation, and speak.
Stop calculating. Stop manipulating. Stop proving. It's over.
Speak.
@AlexKontorovich Thank you! My son was in “Academically Talented” 5 grade class whose teacher hated notion of variables. I assume because teaching algebraic notation in the 5th grade is not in the curriculum.
In 2035, we’ll view unformalized 2025 math, where we don’t even name our hypotheses, in the same way that in 2025 we view pre 1600 algebra, before they realized they should name variables!
Have you ever tried to read math pre 1600? They’re doing *serious* algebra, but it looks like this:
“You have some unknown quantity. When you create a second copy of this quantity and combine it with a known amount, then multiply this total by your original unknown quantity, you get a specified result”
Or you could say: consider the quadratic:
x(x+a)=b.
The latter is (with modern training) *so* much easier and immediate to understand.
Well in 2035, when everyone is doing math formally, they’ll see 2025 math in the same light:
Wait, what? They used to write things like “… because f(x) is positive for any negative input x, and y is negative, so we get that f(y)>0…” without naming the hypotheses?! It’s *so* much cleaner and more compact to see:
Hf : forall x < 0, f x > 0
Hy : y < 0
have : f(y) < 0 := Hf Hy
With some training, the above becomes much easier to follow and communicate clearly!
TL;DR: Name your hypotheses! :)
You can get jacked & cracked at the same time if you interleave math into your workouts. 1-min set of weightlifting, 2-min math problem, repeat 20x. Just 1 hour out of your day. Do that daily for a year, you'll get through the entire Math Foundations sequence and look like Thor.
The best bridges are not just feats of engineering but works of art.
The most beautiful bridges in the world - a thread 🧵
1. The original Neue Elbbrücke Bridge, Hamburg, Germany (1887) - its neo-Gothic gateways were tragically removed in 1959 to widen the bridge.
During high-intensity exercise, cortisol (a key stress hormone) can increase by 500% above resting levels!
During exercise at ~50% VO2max, cortisol will usually drop below resting levels.
We have enough cortisol in our lives without looking for more.
More #Zone1 for mental and physical health.
Applied Machine Learning - Cornell CS5785
"Starting from the very basics, covering all of the most important ML algorithms and how to apply them in practice. Executable Jupyter notebooks (and as slides)". 80 videos.
Videos: https://t.co/QwT5hqYSQc
Code: https://t.co/RvTTsRAlhU
Wittgenstein’s Ruler: “Unless you have confidence in the ruler’s reliability, if you use a ruler to measure a table you may also be using the table to measure the ruler.” - @nntaleb (Fooled by Randomness)
I think i must've conducted on the order of 100 coding interviews while I worked at Google. After playing with ChatGPT, I have to say: It is better than the median engineer I interviewed at solving coding interview questions.
@nntaleb I wonder how much your metabolic health improved due to the Zone 2 training and consequently played the role in attaining those numbers. Also, nice example to claims that dietary cholesterol doesn’t matter.