Why Did Pythagoras Believe that Three was a Sacred Number?

Depiction of Pythagoras From School of Athens, by Raphael, 1511. Credit: Public domain

Pythagoras was 1 of the top philosophers and intellectuals of Greek history. He made galore profound contributions to cognition in assorted areas. One absorbing information astir Pythagoras’ beliefs is that helium considered the fig 3 to beryllium a precise peculiar number. What was his reasoning down this?

Pythagoras’ fascination with numbers

Pythagoras was not simply funny successful the fig three. He was fascinated by numbers successful general. He viewed them arsenic the cardinal to knowing the beingness arsenic a whole. His probe into the quality of numbers has adjacent had a lasting interaction connected terminology inactive successful usage today.

For example, Pythagoras had a signifier of viewing numbers geometrically alternatively than simply penning them retired with symbols. He would usage dots to put numbers into patterns, specified arsenic squares and triangles. The fig six, for instance, is simply a triangular fig due to the fact that the fig six laid retired with dots virtually forms a triangle. In different words, determination is simply a basal of 3 dots, a mediate conception of 2 dots, and a azygous dot forming the peak.

Square numbers are those which virtually signifier quadrate shapes erstwhile laid retired with dots. The fig 9 is simply a bully example, arsenic it is formed of 3 rows of 3 dots, comprising a cleanable square. We inactive usage the presumption ‘square numbers‘ and ‘triangular numbers’ adjacent to this day. This shows the interaction of Pythagoras’ ideas.

Why was the fig 3 peculiar to Pythagoras?

Of each the numbers, Pythagoras considered the fig 3 to beryllium peculiarly special. There are a fewer reasons for this. For 1 thing, Pythagoras noted that 3 is the lone fig which is the sum of each the numbers beneath it. In different words, erstwhile you adhd 1 and 2 unneurotic (the numbers beneath three), you get three, whereas the aforesaid is not the lawsuit for immoderate different number.

For example, if you were to adhd unneurotic each the numbers beneath the fig four, the full would beryllium six alternatively than four. Therefore, Pythagoras noted that this makes 3 a unsocial number.

There is besides different crushed it is unique. When you instrumentality the erstwhile numbers (one and two) and adhd them unneurotic with the fig three, you get six. Likewise, erstwhile you aggregate each those numbers unneurotic (one, two, and three), you also get six. This harmony does not beryllium with immoderate different number.

The fig 3 and the universe

In summation to the properties of the fig 3 connected a mathematical level, Pythagoras besides considered it to beryllium peculiar for respective different reasons. Notably, it seems to bespeak our satellite good connected a conceptual level. In our quality experience, we are acquainted with the conception of a beginning, a middle, and an end. These 3 parts sum up the entirety of immoderate fixed thing. Similarly, humans acquisition birth, life, and death.

Pythagoras besides considered the fig 3 to beryllium peculiar for an ethical reason. According to Pythagoras, a person’s virtuousness is composed of 3 chiseled parts. First, determination was understanding, followed by power, and yet chance.

One philosopher who followed the teachings of Pythagoras was Ion of Chios. He wrote: “All things are three, and determination is thing much oregon little than this three.”

Clearly, the fig 3 was highly important for Pythagoras and his followers. As we person seen, determination are immoderate fascinating mathematical and conceptual reasons for this.