What makes something a pure math theorem.

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cKGunslinger

Lifer
Nov 29, 1999
16,408
57
91
Originally posted by: DVK916
Originally posted by: SVT Cobra
Originally posted by: DVK916
What is it with all the trolls on this forum.

This is a simple question, which deserves a simple answer.

What make something pure math, or applied math.

The ironing is delicious.

Again, you are the one trolling right now.

So far, all I had was trolls posting in this thread.

Because you inspire them. Troll.
 

RossGr

Diamond Member
Jan 11, 2000
3,383
1
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What in pure mathematics uses that theorem as part of a proof?

Mathematics has a systematic structure, you start with Axioms, then use the axioms to prove theorems. Theorems are useful concepts which can be applied to other constructs with the assurance that you are not introducing a fallacy. You must understand that the goal is to MINIMISE the number of axioms and theorems needed. A theorem implies that the result is of some use and has a certain level of importance.

Your theorem from statistics simply has no application in pure math therefore would not qualify to be called a thereom.
 

Matthias99

Diamond Member
Oct 7, 2003
8,808
0
0
Originally posted by: RossGr
What in pure mathematics uses that theorem as part of a proof?

Mathematics has a systematic structure, you start with Axioms, then use the axioms to prove theorems. Theorems are useful concepts which can be applied to other constructs with the assurance that you are not introducing a fallacy. You must understand that the goal is to MINIMISE the number of axioms and theorems needed. A theorem implies that the result is of some use and has a certain level of importance.

Your theorem from statistics simply has no application in pure math therefore would not qualify to be called a thereom.

the·o·rem
1. Mathematics. a theoretical proposition, statement, or formula embodying something to be proved from other propositions or formulas.
2. a rule or law, esp. one expressed by an equation or formula.
3. Logic. a proposition that can be deduced from the premises or assumptions of a system.
4. an idea, belief, method, or statement generally accepted as true or worthwhile without proof.

At least in the dictionary definition, there's nothing about it having to hold some certain level of importance before you can call it a theorem.

This is a simple question, which deserves a simple answer.

What make something pure math, or applied math.

You'll get various answers from various people. It's a fairly arbitrary distinction. Some general observations:

"Pure" math tends to be more around exploring thought problems and mathematical constructs, while applied math is more about trying to find a solution to some specific real-world problem.

Applied math tends to take some "pure" mathematical construct and extend/modify it in order to apply it (hence the name) to some existing situation/problem. "Pure" math generally tries to figure out new things that nobody has done/solved before.

Things that aren't clean/elegant (like numerical instability and approximation methods) tend to be more on the applied math side.
 

zinfamous

No Lifer
Jul 12, 2006
111,904
31,429
146
Originally posted by: DVK916
What is your problem, I am asking a legit question.

Just wondering why you can't call that a pure math theorem.


b/c you should learn to do your own homework. Just b/c you fail at life, doesn't mean you have to fail all of your classes.