Why there is no combinatorics sub forum?

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In summary, the conversation discusses the importance and justification for creating a sub forum dedicated to combinatorics and discrete mathematics. It is argued that while these branches of mathematics are important and have contributed greatly to the field, they may not have enough sustained interest and regular members participating to justify their own forum. Additionally, the frequency of questions being posted on these topics is not enough to warrant a separate sub forum. The conversation also brings up the example of condensed matter physics, which despite being the largest sub-division in physics, shares a subforum with other topics. Ultimately, it is concluded that new forums should only be created when there is already a demand for them, rather than waiting for the demand to develop.
  • #1
AdrianZ
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combinatorics and discrete mathematics are two of the most fascinating branches of mathematics and have hugely contributed to the development of mathematics. discrete math. problems are usually way more challenging than other areas of mathematics, yet there is no sub forum for this important branch of mathematics on here. why?
 
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  • #3
AdrianZ said:
yet there is no sub forum for this important branch of mathematics on here. why?
To you "combinatorics and discrete mathematics are two of the most fascinating branches of mathematics." Others might disagree and call out nonlinear dynamics as the most important branch of mathematics, yet we don't have a sub forum dedicated to nonlinear dynamics. Yet others will call for a forum dedicated to manifold theory.

There are several problems with creating a lot of very specific sub fora. One is that boundaries between concepts get less and less firm the more specific one gets. Another is that categories change over time. The killer, though, is that too many subcategories makes for a mess with regard to forum management.

If you can't find a fit, we do have General Math. In this particular case however, the Set Theory, Logic, Probability, Statistics sub forum is quite applicable.
 
  • #4
D H said:
To you "combinatorics and discrete mathematics are two of the most fascinating branches of mathematics." Others might disagree and call out nonlinear dynamics as the most important branch of mathematics, yet we don't have a sub forum dedicated to nonlinear dynamics. Yet others will call for a forum dedicated to manifold theory.

There are several problems with creating a lot of very specific sub fora. One is that boundaries between concepts get less and less firm the more specific one gets. Another is that categories change over time. The killer, though, is that too many subcategories makes for a mess with regard to forum management.

If you can't find a fit, we do have General Math. In this particular case however, the Set Theory, Logic, Probability, Statistics sub forum is quite applicable.

It sounds irrational to say that discrete mathematics isn't one of the most important areas of mathematics. Mathematics is the science of studying two different kinds of structures, continuous structures like real numbers and discrete structures like finite groups, finite fields, quasi-groups, etc. Discrete mathematics is almost half of mathematics, non-linear dynamics is not. Number theory, Group theory, finite fields theory, designing algorithms and many other areas of mathematics, especially many branches of applied mathematics, are strongly linked to discrete mathematics. don't you think so?

Also I don't get why discrete math. problems should be posted on general math. All math problems and questions can be posted on there, so why do we have sub forums for other branches of mathematics? general math would be enough for all of those branches.
 
  • #5
The reason of course is that there aren't enough questions in discrete math. Every subforum has about 5 to 10 new questions every day. This is a healthy statistic.

But to be honest, I don't see a lot of questions in discrete math. It has been a long time I've seen something on graph theory, for example. A new subcategory is only useful if there are a lot of questions on it. I don't think discrete math satisfies that.
 
  • #6
AdrianZ said:
It sounds irrational to say that discrete mathematics isn't one of the most important areas of mathematics. Mathematics is the science of studying two different kinds of structures, continuous structures like real numbers and discrete structures like finite groups, finite fields, quasi-groups, etc. Discrete mathematics is almost half of mathematics, non-linear dynamics is not. Number theory, Group theory, finite fields theory, designing algorithms and many other areas of mathematics, especially many branches of applied mathematics, are strongly linked to discrete mathematics. don't you think so?

Also I don't get why discrete math. problems should be posted on general math. All math problems and questions can be posted on there, so why do we have sub forums for other branches of mathematics? general math would be enough for all of those branches.

We frequently get such question on why such-and-such does not have a forum to itself.

Let's me give you this fact for you to consider. Condensed matter physics is the LARGEST sub-division in physics, and in fact, can easily be argued as the largest subtopic in physics. Still, do you see a forum solely dedicated to this subject area? Go take a look around. It shares the subforum with Atomic/molecular physics, and computational physics! Imagine that! Even a subject area that is the LARGEST in the field of physics does not have a forum all to itself!

So already, the argument of importance, of significance, and of size has no bearing on a subject matter getting its own forum. What is more important are (i) frequency of the topic being posted (ii) the level of SUSTAINED interest in that topic (iii) the number of regular members participating in that topic. It is of no point to create a forum for a topic just because ... There has to be an online demand for it in this forum that can justify such a creation.

So forget what you think about the subject matter in general. Do you think your topic qualifies in all the 3 criteria to justify the creation of its own forum? Do you think the posting frequency matches that of, say, the posting frequency in the Relativity forum?

Zz.
 
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  • #7
New forums are created when the traffic already exists, not to wait for a traffic to develop.
 
  • #8
OK, if the majority thinks so then I'm convinced.
 
  • #9
Of course, if Erdos were posting here, he could justify the sub-forum all by himself.
 
  • #10
Would that give us all Erdos number of 1?
 

1. Why is combinatorics not considered a separate field of study?

Combinatorics is actually a well-established and important branch of mathematics. However, it is often integrated into other fields such as algebra, probability, and computer science, making it less recognizable as a standalone subject.

2. Is combinatorics not considered as important as other fields of science?

No, combinatorics is just as important as other fields of science. It deals with the study of counting, arranging, and selecting objects, which has practical applications in many areas of mathematics, computer science, and engineering.

3. Why is there no separate sub forum for combinatorics on popular science forums?

The decision to have a separate sub forum for a particular subject is often based on the level of demand and activity from users. Combinatorics may not have a large enough following to warrant its own sub forum on certain forums.

4. Can combinatorics be considered a separate scientific discipline?

While combinatorics is considered a branch of mathematics, it can also be considered a separate scientific discipline. It has its own theories, methods, and applications, and is constantly evolving and expanding.

5. Are there any online communities or forums dedicated to combinatorics?

Yes, there are online communities and forums dedicated to combinatorics, including the Combinatorial Mathematics Society of Australasia, the European Association for Combinatorics, and the Combinatorics and Graph Theory Network. These communities provide a platform for researchers and enthusiasts to share knowledge and discuss developments in the field.

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