My Math Forum The natural structure of mathematics

 January 22nd, 2012, 03:57 AM #1 Newbie   Joined: Jan 2012 Posts: 2 Thanks: 0 The natural structure of mathematics As I understand it, mathematics is a study that is founded on the principles of logic and set theory and branches out into specialized fields. I was just wondering about what that structure would look like. It seems like there might be significantly different ways to do this since there is often more that one way to prove something. How do you see this? Here's a rough idea of what I mean. This isn't meant to be complete, and definitely isn't totally accurate. But, it's 5 am here and I need to get some sleep Thanks for the input everyone. I. Fundamentals a. Logic b. Set Theory II. Arithmetic a. Addition b. Subtraction c. Multiplication d. Division e. Exponentiation III. Numbers a. Integers & Number Theory b. Rational Numbers c. Irrational Numbers d. Transcendent Numbers e. Imaginary Numbers f. Complex Numbers IV. Geometry & Trigonometry a. Two Dimension i. Flat Space ii. Curved Space b. Higher Dimensions V. Calculus a. Differentiation b. Integration
 January 22nd, 2012, 04:00 AM #2 Newbie   Joined: Jan 2012 Posts: 2 Thanks: 0 Re: The natural structure of mathematics I wish I could edit that list, it doesn't show the structure well. Anyone know how I could do that? Even if I can't fix this post, it would be good for the future. Roman numerals are primary sections Letters are 2nd level sections i tally's are 3rd level sections
January 22nd, 2012, 05:45 AM   #3
Global Moderator

Joined: Nov 2009
From: Northwest Arkansas

Posts: 2,766
Thanks: 4

Re: The natural structure of mathematics

Quote:
 Originally Posted by DavidLaPierre I wish I could edit that list, it doesn't show the structure well. Anyone know how I could do that? Even if I can't fix this post, it would be good for the future. Roman numerals are primary sections Letters are 2nd level sections i tally's are 3rd level sections
You earn the option to edit after a certain number of posts. In the meantime, just create a post that is exactly what you want, and message a moderator to delete all the other posts!

 January 22nd, 2012, 09:51 AM #4 Global Moderator     Joined: Nov 2006 From: UTC -5 Posts: 16,046 Thanks: 938 Math Focus: Number theory, computational mathematics, combinatorics, FOM, symbolic logic, TCS, algorithms Re: The natural structure of mathematics I think that the natural structure would be a DAG, not a list.

 Tags mathematics, natural, structure

 Thread Tools Display Modes Linear Mode

 Similar Threads Thread Thread Starter Forum Replies Last Post Sk8dude26 Number Theory 12 January 27th, 2014 08:53 AM soulrain Applied Math 4 July 13th, 2012 05:43 PM bentley4 Abstract Algebra 1 May 14th, 2011 02:20 AM Siberian Fox Math Books 0 January 12th, 2011 08:29 AM jinjouk Number Theory 12 June 3rd, 2008 06:11 AM

 Contact - Home - Forums - Cryptocurrency Forum - Top