Works of Pythagoras
All the work is in User:PJhaveri/sandbox/Wikipedia Article Drafting
More information that I have found:
The Pythagorean School
The school of Pythagoras was every bit as much a religion as a school of mathematics. For example, here are some of the rules:
- To abstain from beans.
- Not to pick up what has fallen.
- Not to touch a white cock.
- Not to stir the fire with iron.
- Do not look in a mirror beside a light.
Life in the Pythagorean society was more-or-less egalitarian.
- The Pythagorean school regarded men and women equally.
- They enjoyed a common way of life.
- Property was communal.
- Even mathematical discoveries were communal and by association attributed to Pythagoras himself -- even from the grave. Hence, exactly what Pythagoras discovered personally is difficult to ascertain.
The dictum of the Pythagorean school was All is number.
What this meant was that all things of the universe had a numerical attribute that uniquely described them. For example,
- The number one : the number of reason.
- The number two: the first even or female number, the number of opinion.
- The number three: the first true male number, the number of harmony.
- The number four: the number of justice or retribution.
- The number five: marriage.
- The number six: creation
- The number ten: the tetractys, the number of the universe.
Pythagorean Mathematics
- One point: generator of dimensions.
- Two points: generator of a line of dimension one
- Three points: generator of a triangle of dimension two
- Four points: generator of a tetrahedron, of dimension three.
- http://www.math.tamu.edu/~dallen/history/pythag/pythag.html