The shameless bully in me suggests that this thread is on the verge of repeating various parts of the several threads we have already devoted to trustgod. Maybe it is time to close this one?

^

Also, let us not forget the trustgod-like-guy who actually had a math Ph.D. (with the initials I.D.). The problem with trustgod is that he is annoying and knows nothing about math, not that he doesn't have a degree =).

Secondly, I am a bit offended by your claim that your passion and dedication are unmatched for in the academic level. This sort of approach to mathematics is probably a perquisite for grad school in places like Israel where being a mathematician is not a likely source of income, and most of my classmates are people who live mathematics in its very essence.

Lastly, there is not always intuition. It can take years of meddling with the technical details before you acquire the correct intuition. Of course that whatever I will tell you, you will continue to believe whatever you believe right now. I just hope that in several years, if you managed to master something by then, you will return to these words everyone is telling you and realize that it took you several years of work to develop the intuitions properly.

@ Andy Putman : You always said to pursue a formal education and come back, is that the criteria or a protocol a person should have to learn mathematics, not necessarily. If you think so you are not a mathematician. Mathematics derives its beauty from its universality and can be learnt from the nature. I need to have some intuition to go further and then I can read myself. So from the past I have been violently facing the blows from you kind of people. But think once, is there any graduate student who is so interested like me ?. Or other wise be honest in imagining this : will you read the same amount of mathematics at my age without having all these sophisticated facilities ? , without a help of professor ? . SEE Andy its easy to say and teach philosophies to others, but coming to your own situation they don't apply . Haven't you learnt from lecturers ? , are you a mathematician since from the moment you are born ? . NO !! , many professors might have helped you in understanding the concepts and encouraging you, and its because of them you are in a position to comment and discourage someone like me. You have learnt everything from professors , and that's what I miss. If I had had any persons to guide me here, then why would I have kept silent and keep on facing the violent blows by repeatedly asking questions at MO and Math.SE. " If you can't make it simple, it means that you don't understand it first, any good mathematician should be able to simplify a complex concept to an extent that even kid can understand. There will be a way to teach even TAMAGAWA numbers to a kid, but the point is that you dont know how to do it, and simply you have hidden under the cover saying that I need to study and learn" . I have learnt all basics , remember that . And don't you know this basic point that questions are answered only based upon the quality and content and not by the background knowledge of the OP. Any way talking with you is a mere waste of time and I don't want to do it any further. I even have my own ways of ignoring your comments, and I never care them.

@Henry Cohn : Sir, I am in debt with your advice, thanks a lot sir. I have been trying to make my basics concrete and trying to learn all these things, but the point is that I don't have proper environment to pursue mathematics. I can't blame others for that, and its my fate . I will surely follow your advice sir.

And its after the people like you and others ( Tom Leinster, Pete.L.Clark ) I understood that even in this world there are some people like you who are having a kind heart to encourage people who wanted to learn mathematics, I am happy with that at-least. I am satisfied that , its because of people like you the rains are falling in right time and earth is protected from calamities. If everyone in this world is selfish and discouraging others then it will be the dead -end of this earth. I already expected that I will be banned as soon as I post the questions, but some day or the other I will prove who I am.

But for all people who have commented about my basics, this point applies, how do you think that I know nothing ? . If so then give me a problem or a question to test my knowledge and then pass comments ok ? .

The question that made me happiest was the one about the leading digits of powers of 2. It wouldn't be appropriate for MO since it's not a research question (this phenomenon is well known among mathematicians), and it turned out to be essentially a duplicate of a previous MSE question. However, it shows that you are grappling with interesting ideas and trying to formulate and prove what you observe. This is great - it's exactly what you should be doing. I remember when I first thought about this problem: I found it exciting and I learned a lot from it. You'll learn more and develop faster as a mathematician if you focus on problems like this, rather than questions about Tamagawa numbers or complex multiplication. There's really no point in trying to learn advanced topics before you've mastered the basics, since it just isn't feasible. At best you'll end up with a superficial, impressionistic understanding of advanced topics, which won't give you a strong foundation to build on.

I think this is also part of why you aren't getting some of the answers you seek. It's not just because the questions sometimes deal with exotic topics, but also because they come across as an endless string of questions about mathematics, rather than real mathematical questions. The questions people are most excited to answer are generally insightful: they show evidence of effort and understanding, which has led the questioner to isolate some key issue. Your Tamagawa number question doesn't read that way to me. You say "I already know the algebraic version of Tamagawa numbers", but the question doesn't show much sign of understanding it. You then ask for a geometric or intuitive explanation. That's a reasonable thing to hope for, and it's not intrinsically a bad question, but it comes across as a lazy question: you want to understand Tamagawa numbers, so you are asking somebody to explain them to you in a more elementary way than the references you have available. There's not a lot of motivation to answer the question when there's no evidence that you are prepared to understand a reasonable answer.

You're right that Tamagawa numbers are themselves a perfectly suitable topic for MO, but questions like this just aren't fruitful or worthwhile. The reason you can't find an exposition at your current level of background is because you don't yet know or understand enough for this topic. I hope this doesn't come across as offensive. You seem smart, enthusiastic, and dedicated. I see no reason to doubt you'll eventually be able to understand all these things if you take the right approach, but there are many more fundamental topics you need to master first, and it will take years to do so. I worry that rather than spending those years learning the basics, you'll spend them trying unsuccessfully to start with advanced topics, before you eventually become too frustrated and lose interest. That would be a sad outcome.

Instead, I hope you start actively playing with and exploring undergraduate mathematics, so you can master these ideas and start on the road to becoming a research mathematician. MSE is a wonderful environment for that.

Teach Yourself Programming in Ten Years

You should stop making these claims about your own questions and start letting others making them.

Now, we might all agree that trustgod has not asked sensible and interesting questions in the past, and is showing no signs of doing so in the near future. That's beside the point. What I object to is telling someone to go away until they've passed a certain culturally specific test. ("Qualifying exams" makes it even worse; I for one associate "qualifying exams" exclusively with North America.) I know you're not actually saying "don't come back until you've got an American education", but I find it uncomfortably close.

Can we fix a protocol like :

1) That question should be having more than n-votes. 2) That question should not ask basic things. 3) That question should be properly edited.

You can see an instance here ,its in fact a good question that benefits many graduates. As per my search there was not a singly expository article that explained that question. So I wanted to ask here, so that the experts might respond.

Thank you.