Two Equal Sets

mathdad

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If two sets A and B have the same elements, then we can say that A = B.
 

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I think that the discovery of zero was one of the brightest moments in human history (IIRC in India, ~5000 years ago)! Someone decided to give something a name that wasn't there and revolutionized arithmetics!

The less romantic view is that it was probably an accountant who found it convenient to mark a missing number in order to distinguish it from an ordinary empty space in texts.
 
I think that the discovery of zero was one of the brightest moments in human history (IIRC in India, ~5000 years ago)! Someone decided to give something a name that wasn't there and revolutionized arithmetics!

The less romantic view is that it was probably an accountant who found it convenient to mark a missing number in order to distinguish it from an ordinary empty space in texts.
The discovery of the whole number 0 is an Indian contribution. Really? I thought the Mayans were responsible for the definition of zero we know today. No?
 
It's been a long time since I researched it. The Babylonians used a sign for a missing number. But where did they get it from? My approach then was to figure out where the specific signs for numbers came from and I found India as their origin. That doesn't necessarily mean that the Mayas didn't make the discovery, too. However, our current number system (the symbols) took the path: India > Mesopotamia > Arabs > Italy > Europe > rest of the world with sometimes big time gaps. I seriously doubt that there has been any cultural exchange between the Maya and the western ancient world. Even the Spaniards rather destroyed their culture than adopted it. If it was Mayan, then how could we know?
 
It's been a long time since I researched it. The Babylonians used a sign for a missing number. But where did they get it from? My approach then was to figure out where the specific signs for numbers came from and I found India as their origin. That doesn't necessarily mean that the Mayas didn't make the discovery, too. However, our current number system (the symbols) took the path: India > Mesopotamia > Arabs > Italy > Europe > rest of the world with sometimes big time gaps. I seriously doubt that there has been any cultural exchange between the Maya and the western ancient world. Even the Spaniards rather destroyed their culture than adopted it. If it was Mayan, then how could we know?
Interesting. I concur.
 
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