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Why is the study of mathematics worthwhile?
It isn't. 11%  11%  [ 6 ]
Because people with mathematical knowledge can get high-paying jobs. 2%  2%  [ 1 ]
Because it is interesting/fun. 13%  13%  [ 7 ]
Because it is possible to have complete certainty and thus to arrive at absolute truth. 11%  11%  [ 6 ]
Because it has applications to other fields such as science, engineering, and economics. 25%  25%  [ 13 ]
Other/more than one of the above. 38%  38%  [ 20 ]
Total votes : 53

Orwell
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25 Dec 2008, 2:43 am

Shiggily wrote:
I see people argue over whether or not they will ever need or use certain aspects of English grammar. And most of the math learned at the high school level and in many cases at the college level is still the mathematical equivalent of English grammar. It is a foundation that builds upon itself and while you might not use it explicitly, the basic knowledge applies to other areas that you will most likely use. If you didn't have it, it would most likely make your foundation weak, spotty and limited.

I have mixed feelings on the issue of grammar. On the one hand, I strongly tend toward being a grammar Nazi; on the other, I recognize that the purpose of language is to communicate an idea between people and that anything which accomplishes this purpose is correct.


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25 Dec 2008, 2:44 am

Awesomelyglorious wrote:
Ok. That's their problem. In any case, I do occasionally leave PPR, but usually don't stay for very long, occasionally try to add to some discussions and oddly enough, rarely get into debates, as all of my long debates have been on PPR despite my occasional peekings out. This one thread is possibly an exception, depending on how you consider it. (although in all fairness, I could be wrong about that matter of the long debates)

You've probably posted more outside PPR in the past two threads than in the preceding two years. Why is it someone else's problem that you act like a complete nut job whenever someone disagrees with you or challenges your views?


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25 Dec 2008, 2:50 am

Awesomelyglorious wrote:
In any case, I am evasive usually because I rarely like to answer questions about myself. I am secretive, if not paranoiac. I also don't like you, it could just be some faux pas you make, but you end up getting on my nerves. I also did that to Orwell because by laying stress on credentials he doesn't have, he seems to just be a nuisance, as if I don't know what I am talking about, there is no reason to suppose he knows more. I also did that to you in the other subject because you insulted me, and frankly, if a person perceives you as insulting them, they puff up, get defensive, and if they are a stubborn one, then the original insult might not have been worth it.


I rarely insult people as I insult their beliefs or their assumptions which is regularly perceived as a threat by people not comfortable in their beliefs that they would feel it threatened when questioned, or when logical inconsistencies are pointed out. If I do insult people it is usually because they obviously engage in subjects that they know little or nothing about and yet insult people who are actually in the conversation to learn and not to inflate their own importance.

Awesomelyglorious wrote:
In any case, I don't track pasts as strongly as you seem to, I don't think that is how a discussion should work. It could be stated that I barely pay attention to the discussions I get into, however, I mostly will track things with posters I have seen a number of times, and if I end up finding a poster not worth my time(there are a number of possible reasons, usually I just do this with people I find hard to understand or communicate with), I generally won't bother with them.


I also do not remember pasts, but as the beauty of the internet unfolds you can use it to reduce or eliminate your own inconsistencies by remembering things you have said 5 minutes after you have said them. All you have to do is scroll up and read. Considering they way you communicate I would suggest starting to keep track of discussions as you seem to forget what you say right after you say it. I am not sure why you seem to want to communicate with me as I don't really see how you can't find it hard to communicate with me, but oh well.

Awesomelyglorious wrote:
I don't see how a discussion can happen without vagueness. First it starts off with neither side knowing the other's conceptualizations, perhaps even using different terms to describe the same phenomena, then there are some rather grotesque stabs in the dark until both sides start refining and clarifying their thoughts in the newly constructed framework for mutual understanding, they then might eventually recognize where the actual disagreements are. And the entire process is usually a bit grotesque, more or less so depending upon who the other person is, and how sharp the original disagreement is. I see this happening to a significant extent. In any case, I see attempting to "lay everything out on the table" to be a flawed approach, the actual issue is rarely so straightforward if the meanings of terms can fall into question, and most discussions fall down to presuppositions more than facts or anything similar, and those can be hard to get to without some level of patience and perhaps a broad background or intuition for how different people think.


It is actually quite simple. First you lay out your conceptualizations. Attempt to agree on terms used. formalize your thoughts and avoid vagueness. Rather like formulating a math proof mixed with a statistical evaluation. first you lay out your assumptions, then you define any terms you will use, then you offer your proof. Then the other person does offers their proof, you (and they) evaluate your hypothesis based on the information provided and decide whether to reject or fail to reject the hypothesis. You then determine if you want to reformulate your hypothesis and sometimes you start all over. Occasionally you will encounter something (term, concept, etc.) within the argument that you seem to disagree on and you must stop and agree to use a common definition for the purposes of the disagreement.

Considering that this is used extensively in math, reliable areas of science, and many forms of debate I would say my logical method seems to worth a little better than your "stabbing in the dark" method of running head-first into a discussion, refusing to define anything, and spending hours arguing only to find out you disagree on the definition of one word because you insisted on being vague. It is not how all discussions must occur. In fact it seems to be a rather primitive way to discuss anything.

My debates and arguments are civil, efficient, and intellectually stimulating. Maybe you should try it sometime.



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25 Dec 2008, 3:01 am

Orwell wrote:
Shiggily wrote:
I see people argue over whether or not they will ever need or use certain aspects of English grammar. And most of the math learned at the high school level and in many cases at the college level is still the mathematical equivalent of English grammar. It is a foundation that builds upon itself and while you might not use it explicitly, the basic knowledge applies to other areas that you will most likely use. If you didn't have it, it would most likely make your foundation weak, spotty and limited.

I have mixed feelings on the issue of grammar. On the one hand, I strongly tend toward being a grammar Nazi; on the other, I recognize that the purpose of language is to communicate an idea between people and that anything which accomplishes this purpose is correct.


the purpose of math could be simplified down to the concept of "relations" and the study of many areas of math are to help the person recognize the "relations" and are not used directly, but indirectly to help accomplishes that purpose.

A student studying decibels might never use the quadratic function, but the study of it strengthens the knowledge of how the logarithmic function works and the relations between its properties... which the student will use. So it is indirectly beneficial.



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25 Dec 2008, 7:03 am

Orwell wrote:
Shiggily wrote:
Some degrees you can get along quite fine with just a BS/BA. Not psychology, medicine, science (save for maybe general biology), or math. Not sure of any others. But education you can get just a BS/BA, stats I think just a BS/BA is fine, communication, computer degrees, etc.

I would have thought a general bio BS would be pretty tough to get a job with, but perhaps it's just that I'm thinking of different jobs. In my home state you need a master's degree for education. State law.


depends on what you are doing with the general bio degree. Most Marine Biologists or whatever only have BS, but if you want to do lab work you can pretty much guarantee that you need a Master's to get past "lab rat"



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25 Dec 2008, 7:18 pm

Following is chronological proof of the Reality that mathematics defines.

1. Theoretical Mathematics existed before Einstein's day.

2. His General Theory of Relativity makes use (naturally) of mathematics, that which can be abstracted before placed into such an application (and was).

3. Black holes were monstrous (and are), and were first seen in the form of Equations! It was not even clear whether or not they had actually existed.

4. As such, and related to the case of the mathematical application known as physics, black holes turned out to actually exist.

But, please note: some applications require the invention of new maths, and sometimes Pure Maths exist before the application. It is also important to realize that String Theory, while resting upon previously pure math, is not necessarily true, whereas General Relativity is, and that has been verified...



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28 Dec 2008, 9:00 am

Shiggily wrote:
skysaw wrote:
Shiggily wrote:

I want to split off an do both an applied and a theoretical approach, now. It will depend on where I end up. Right now there is no graduate college where I can study math.


Are you in the UK? Do you mean there are no graduate colleges near where you live, or none that offer modules you're interested in?


I am in Okinawa and island off of Japan.


How did you end up there? What do you do?
For some reason I'm presuming you're not Japanese. Maybe you are?



skysaw
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28 Dec 2008, 9:07 am

Shiggily wrote:
Orwell wrote:
Shiggily wrote:
Some degrees you can get along quite fine with just a BS/BA. Not psychology, medicine, science (save for maybe general biology), or math. Not sure of any others. But education you can get just a BS/BA, stats I think just a BS/BA is fine, communication, computer degrees, etc.

I would have thought a general bio BS would be pretty tough to get a job with, but perhaps it's just that I'm thinking of different jobs. In my home state you need a master's degree for education. State law.


depends on what you are doing with the general bio degree. Most Marine Biologists or whatever only have BS, but if you want to do lab work you can pretty much guarantee that you need a Master's to get past "lab rat"


In the UK people can get a PostGraduate Certificate in Education after their first degrees.

But what exactly sets a regular Masters degree apart from a Bachelors degree? In the UK, a Masters degree is just another year of taught courses with exams and a dissertation at the end of it. As far as I know, to get a Masters in a science subject, you're not expected to come up with any original results.

I have a Masters myself, but it was a conversion course in Computer Science, so I'm not sure it really counts.



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28 Dec 2008, 9:21 am

skysaw wrote:
Shiggily wrote:
Orwell wrote:
Shiggily wrote:
Some degrees you can get along quite fine with just a BS/BA. Not psychology, medicine, science (save for maybe general biology), or math. Not sure of any others. But education you can get just a BS/BA, stats I think just a BS/BA is fine, communication, computer degrees, etc.

I would have thought a general bio BS would be pretty tough to get a job with, but perhaps it's just that I'm thinking of different jobs. In my home state you need a master's degree for education. State law.


depends on what you are doing with the general bio degree. Most Marine Biologists or whatever only have BS, but if you want to do lab work you can pretty much guarantee that you need a Master's to get past "lab rat"


In the UK people can get a PostGraduate Certificate in Education after their first degrees.

But what exactly sets a regular Masters degree apart from a Bachelors degree? In the UK, a Masters degree is just another year of taught courses with exams and a dissertation at the end of it. As far as I know, to get a Masters in a science subject, you're not expected to come up with any original results.

I have a Masters myself, but it was a conversion course in Computer Science, so I'm not sure it really counts.


it is halfway between a Phd and a Bachelor's and I presume allows you to write a thesis (mini dissertation) without original results.

You can skip it and go from a Bachelor's straight to a Phd.



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28 Dec 2008, 5:21 pm

Cool. Thanks, Shiggily.

How about my other question: how did you end up in Okinawa? :?:



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28 Dec 2008, 8:30 pm

skysaw wrote:
Cool. Thanks, Shiggily.

How about my other question: how did you end up in Okinawa? :?:


I flew



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29 Dec 2008, 5:22 am

Shiggily wrote:
skysaw wrote:
Cool. Thanks, Shiggily.

How about my other question: how did you end up in Okinawa? :?:


I flew


Very funny.



Last edited by skysaw on 29 Dec 2008, 5:42 am, edited 2 times in total.

Shiggily
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29 Dec 2008, 5:41 am

skysaw wrote:
Shiggily wrote:
skysaw wrote:
Cool. Thanks, Shiggily.

How about my other question: how did you end up in Okinawa? :?:


I flew


Very funny.


confused



skysaw
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29 Dec 2008, 5:45 am

Shiggily wrote:
skysaw wrote:
Shiggily wrote:
skysaw wrote:
Cool. Thanks, Shiggily.

How about my other question: how did you end up in Okinawa? :?:


I flew


Very funny.


confused


Sorry, I thought you were making a joke.

What I meant by my question was really ... what do you do in Okinawa?
I'm only asking because I am, like you, interested in math (or maths as we call it in the UK), and I was wondering if you did something math-related for a living.



skysaw
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31 Dec 2008, 11:29 am

Shiggily, please just say if you don't want to answer my question.



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31 Dec 2008, 11:45 am

I voted ''other''.

Maths has its uses. There are things it can be used for, mostly in other fields.

Yet at the same time, a large part of math is entirely useless.