How would this neural net learn? No doubt it would need to have some sort of fitness function to guide the setting of the weights between the neurons. I think this fitness function approach is just too practically infeasible.
On the subject that just because our brains are complex doesn't...
So your conclusion is that doing well in the IMO just comes down to learning and applying algebraic tricks? I don't know why but I found that a little disconcerting.
The fitness function that directed human evolution is no doubt extremely complicated. Implementing this fitness function would probably be just as difficult if not more so than directly programming human behaviors and thought. So from a practical standpoint I do not see how my second point is...
A lot of things in mathematics may appear to be intuitively obvious but to prove rigorously they require “tricks”. Newton’s calculus worked but it took hundreds of years for mathematicians to prove and figure out why it worked.
It is my strongest belief that human-level AI will never exist. Here is my reasoning: There are two ways in which to develop this AI...
1) Program the AI directly
2) Use some adaptive, evolving algorithm
Now because of the complexity of human behavior and thought the first option is...
After looking at the solution of the IMO problems I find that a lot of the time I was on the right track and if I had known to use the "trick" that they had used then I would have solved the problem.
This brings me to another question. Wouldn't solving original difficult math problems that...
I have been thinking along similar lines. Maybe I have good technical ability i.e. I can remember techniques to solve learned problems so in an exam when it says solve this PDE I can do it. But I lack a certain creative insight or ingenuity to solve challenging problems.
This is really the...
The thing is I find questions/problems on exams and in the textbooks for the courses I do at university simple yet find these IMO problems hard.
I wonder if I had a course in "IMO problems" where I had classes and lectures, if that would change the result. Or do the IMO problems just require...
Hi, I am sorry about the length of this but I would appreciate if some you took the time to read and reply.
I guess I am posting this because I require a little direction at the moment. I am entering into my last year of a math degree in Australia. I have studied quite a bit of math in my...