191–200 of 264 posts
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Added bonus is they come out of it being able to cast 4 first level and 2 second level spells each day
It’s a Bard college. More likely they learned to play the lyre and sing ballads.
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You are 100% correct. https://en.wikipedia.org/wiki/Michael_J._Larsen
His mother is also a mathematician, and his uncle is a Fields Medalist. That said, I disagree with OP that this suggests his parents secretly did this work. Rather, it tells me that being surrounded by great mathematicians at a young age is going to foster success in those with raw talent much more effectively than, I dunno, attending some “gifted” program at a typical public school.
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And, to add to this, we need to find and nurture these minds so they don't get bored and can grow at their natural speed.
>Throughout high school, Kaczynski was ahead of his classmates academically. Placed in a more advanced mathematics class, he soon mastered the material. He skipped the eleventh grade, and by attending summer school he graduated at age 15. Kaczynski was one of his school's five National Merit finalists and was encouraged to apply to Harvard.[17] While still at age 15, he was accepted to Harvard and entered the univers…
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but I would expect that people who measure low on IQ tests but are raised immersed in an technical or artistic environment have as much potential to become masters as people with higher IQ, or very nearly so. I would strongly expect the opposite. But I agree it would be beneficial to figure out which of us is right.
According to the latest studies, IQ is largely determined by early exposure to abstract thought. This is the main reason IQ is still rising in first-world nations where malnutrition hasn't been an issue for generations. If you rob a grade school kid of playground time and learning to share toys, and instead force them to grind out math lessons and computer science problems, their adult IQ will be significantly higher…
If you're just talking about the Flynn effect, then your conclusion is overreaching.
IQ is still very highly heritable and adjusted for the Flynn effect has very little to do with early exposure to abstract reasoning AFAIK (but would love to see those studies).
This guy has Sitzfleisch, a very useful thing for a mathematician to have.
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I had a maths teacher who accused me of cheating because we had coursework to solve a particular problem, I solved the problem for that case and then the general case using math she hadn’t taught me even had a pascal program that you could enter parameters and it’d give you the answer. She literally couldn’t get her head around a student going to the library, taking out a book on maths and teaching themselves because…
"Never let school get in the way of your education" is roughly the philosophy my parents raised me on. Precisely to encourage what you had done vs. what school expected.
They want to encourage self directed learning and I am glad they did. If nothing else, boredom becomes a good thing more often. The seeking begins and with that can often come some real learning and insight as it may be applied.
Summary: 1. Fermat's Little Theorem: if p is prime, then b^p = b (mod p) for all integers b. i.e. b^p - b is always a multiple of p. 8^3-8 = 512-8 = 504 = 168 x 3. 2. Is the inverse true? Does b^n - b = 0 (mod n) mean that n is prime? No. Sometimes n is non-prime (like n=561, divisible by 3). We call these n, Carmichael numbers. 3. Okay, so these numbers exist. How common are they? For primes we know they're common.…
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i mean achievement is at the intersection of luck, talent, and hard work. Knew several people with the raw iq to be great but these people would much rather spend their time doing mental puzzles.
Being “great” isn’t always necessary, plus I prefer being just great enough to support enjoying the short time I have with people I love.
I've known quite a few families where both parents are scientists or software engineers or quantitative engineers. Very frequently, their children will have a scary intuitive understanding of concepts that took my many years to understand (I'm a slow learner; didn't really understand hash tables until my 30s) and then apply their abilities to be in the higher echelons at science in a very young age. I see a similar t…