rkts
Joined 19 years ago
Joined 19 years ago
If you want to learn more about the subject, I suggest this book, which concisely disposes of these and other popular anti-IQ arguments:
http://www.amazon.com/Question-Intelligence-IQ-Debate-Americ...
Predictable objections:
1. I had some great teachers at RRU: I did too. But they are the exception rather than the rule.
2. You'll make more money with a degree from RRU: The statistics don't support this. Harvard students end up with the same average income as students who get admitted to Harvard but then go to a less prestigious school.
3. You'll meet more smart people at RRU: Yes, but you can find smart people anywhere, and a few years of college classes is as good a filter as any admissions department, at least in technical majors. The kind of people you meet in a topology course is about the same no matter what school you're at.
I think the most important thing is to find a place where you'll fit in and be happy for 4-5 years. Visit a few places, and go with your gut.
See also: http://www.paulgraham.com/colleges.html
If you try to bring personal intuition into mathematics, you'll just repeatedly shoot yourself in the foot
I disagree. Intuition should always be foremost in mathematical understanding. You may have gotten a different impression from your math classes, and that IMO is a consequence of bad teaching.
I had a similar problem with accepting that 1/inf = 0
As you should; the statement is false. The limit of 1/x as x->infinity is zero, but there is no x at which the quotient "reaches" zero. In non-standard analysis, if x is positive infinite, then 1/x is positive infinitesimal, meaning it is infinitely close to, but still greater than zero.
That would be an audacious claim, considering the book is rather old and only 200 pages. I recommend it because it is a model of concise and accessible prose, good for laymen (like me) who want to get the basic facts with minimal fluff. As far as I know, none of its main points has been invalidated by intervening research. But I can see why its blunt statements of fact might be unpalatable to some.