Today's lesson: our days have 24 hours thanks to Sumerian mathemati...

Another chapter in Today's lesson series, in this opportunity we will be talking about some curious things in relation to the origins of the way we measure time.

Have you ever thought about why the day have 24 hours instead of 10 or 100, and why one hour has 60 minutes (instead of 100 or another amount), and one minute has 60 seconds?

Well, everything has to do with the Sumerians, a civilization from around 6,000 years ago ...

We will start with the most basic, and leave a surprise for the end: The reason for using 60 is because the numerical system of the Sumerians (which was later passed to the Babylonians) was a "Base 60" system (unlike the Base 10 system we have today).

That is, we have 10 digits (from 0 to 9), the Sumerians had 60 different digits (well, technically 59, since they had not invented zero yet, but we can ignore that detail for today). Which means these people needed to memorize 60 different digits, which certainly was not an easy task, particularly when making heavy calculations (such as memorizing multiplication tables, for which purpose they invented all kind of shortcuts).

These are the digits they used:

This was not only the first known mathematical system, but also one that gave us... the "place" concept: Just as, (in the decimal system), 2 can be 2 or 20 or 200, depending on the digits place, so could a Sumerian 2 mean 2, or 120 (2 x 60), and so on, depending on the place. | Source

But, why 60? It could have been that they figured out the fact that the number 60 is a practical number for various reasons, for example it has 12 factors (1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60) that makes the job of doing divisions much more easy (if you try it, you can see for yourself how easy it is to divide a minute, or an hour between any of said factors), which also, makes facilitates the work when doing astronomical calculations, by the way, the 360 degrees of the circle (which is nothing more than 6 * 60) was also a discovery from the Sumerians.

The accepted reason for the use of a sexagesimal system is that it was based in astronomy and the desire of the Babylonians to develop accurate calendars to chart the turning of the seasons and predict the best times for planting, extremely importantly in a culture with a strong agricultural base | Source

What about the 24 hours? That does not seem to make sense, and I would not have it except for a curious observation.

I need before you continue to follow the flow and put the tip of your thumb together with the tip of the index finger, essentially making a "zero" with your hand. What I am going to teach you today is how the Summaries managed to make their calculations.

Could you live in a world with no digital way of making calculations?

While holding that position, now look at your index finger and you will notice that it is divided into three parts (due to the internal skeleton under the skin), so while touching the tips of the thumbs and forefingers, count "one" out loud (or internally for yourselves).

Now, lower the tip of your thumb to the second part of the index finger and count "two." Now go down to the third part of the index finger and count "three". Repeat now with the other fingers (following with the big finger and ending with the little finger) and you will realize that you can count up to 12 using only one hand, and obviously you can count up to 24 with both hands.

Amazing and very curious, isn’t it?

Additionally, notice that the reason why we now have a decimal system (10 digits) is precisely for a similar reason: Having 10 fingers make it easy to count for us, and so it is natural to use a system based on ten.

Finally, notice that the number of symbols we use to count is something totally arbitrary. It is quite possible that another advanced civilization somewhere in Space with only 6 fingers for example, use a system with Base 6, and the same can be applied to another civilization with 8, 16, 20 or any number of limbs that make it easier to count mentally.

What do you think of today’s lesson? Were you able to learn something new?

Feel free to share your opinions and participate in the discussion

If you enjoy the post, make sure to read the next chapter in where we will be talking about the origins of a year, and what does it means?

References

explorable-babylonian-mathematics

mathematicsmagazine-thesumerianmathematicalsystem

Image Sources
1 , 2 , 3

If these titles sound interesting to you, I assure you the articles will be even better!

Thinking positively makes us feel better

Do you have a clone somewhere in the universe? Part 2

Today's lesson: Colors are unreal, we create them with our brain

Reflection: Do you consider yourself a good person?

Develop and HODL your positive thinking, good values, and discipline

Keeping in touch with our inner child

"A day in the future": Being vegetarian without actually being vegetarian, thanks to tissue engineering

Mindfulness can help us in slowing down and avoid crashing

Phobias and addictions: The clown case

Today's lesson: our days have 24 hours thanks to Sumerian mathematics