Where did math come from? It is a question that has been debated by some of the most prominent mathematicians.
Some believe that we have discovered them, and others believe that they invent them. Some people think they are partially discovered and partially invented, while others confess that they do not know.
The jury is very divided.
However, one of the most important figures of ancient Greece, Plato, must think in every way.
The words of a famous philosopher are the basis for many scientists today to think about the origin of mathematics.
It is fundamental but isolated.
In ancient Greece, there was no doubt that mathematics seemed to be all that we found.
For Pythagoras and his followers they were windows into the world of God.
- Why did ancient Greeks think mathematics was a gift from the gods?
But there are many more: Despite being a fundamental part of the world we live in, they can part with him strangely in some ways.
Trying to understand this obvious paradox A dilemma about the origins of mathematics.
And that's what Plato did.
In other kingdoms
The philosopher was fascinated by the geometric shapes that could be made according to the rules of mathematics, and he believed he came from God.
To understand what he said, let's use a flat closed curve with all the points at the same distance from the center.
Better, said Wonju.
You've tried to make yourself look good, and it's certainly not perfect, but it's likely that you've definitely worked for you.
So you were able to access the most accurate computer in the world, and the perimeter was not perfect.
The circle that comes close enough and determines not only the flesh circumference, but also the bump has incompleteness.
According to Plato, the reason is that the circumference and perfect circle do not exist in the real world. The perfect circle lives in a perfect form of the divine world.If you are a true believer, you can only find all math types of heaven.
The philosopher was convinced that everything in the universe could be represented by five solid objects. That Platonic solids.
So the earth was a solid rock cube. The fire was a very sharp tetrahedron. The air was octahedral, and the 20-sided triangle on the 20th side was water.
The last platonic solid, the dodecahedron, encapsulated the entire universe.
There is something special about Platon Solids. They are the only objects with the same shape on all sides.There are only 5 people.
No matter how hard you try, you will never discover other objects with these unique mathematical properties.
All these forms that Plato believed to be in a world of perfect form that we could not reach – simple mortals – the place we call. Platonic system.
Although this idea may seem a little crazy, there are a lot of people who believe and they seem to be normal.
"There is a Platonic solid for me. A good example of mathematics not invented"Says Max Tegmark, professor of physics and mathematics at the Massachusetts Institute of Technology (MIT).
"The ancient Greeks were able to invent their names when they discovered they existed." The man on page 12 was called a dodecahedron. But the pure 12-sided itself was already there. Can be found. "Tegmark says.
Physics Eleanor Knox's philosopher says, "I have a Platonic vision that is around triangles, numbers, circles. They are part of this mathematical landscape. I am exploring. "
But not everyone believes in the Platonic world of mathematical truth.
"I The world of Plato is in the human head."Astrophysicist Hiranya Peiris says," This is the product of our imagination. "He adds.
Brian Green, a professor of physics and mathematics at Columbia University, says, "I understand people who actually believe in other areas of reality, especially if they spend their days and nights thinking about and studying the area.
"That is not true.", Statute.
Plato would disagree.
He encouraged everyone to believe in a different world where all math could be found. Not to be deceived I think there is a world around us.
He warned that what we perceive as reality is a shadow.
Two thousand years later …
More than two thousand years ago, Plato used geometric geometry as a proof of God's influence, limited to sensations and imagination.
today, Geometry is at the forefront of science..
With new technology, we could look beyond the senses and the natural world was actually written in the language of mathematics.
This is a virus model.
You will immediately notice the geometric shape. This is one of Platonic solids.
Reidun Twarock, a mathematic professor at the University of York, designed a computer simulation with a mathematician at the heart of the virus.
"What we are trying to understand is that it creates an illusion that the virus is formed and that the genetic material is inside the virus in the place where it is normally found," BBC Reidun explained.
So they The virus uses the power of mathematics to create an outer wall. In the fastest and most efficient way possible.
Armed with this knowledge, LaDon is looking for ways to stop the spread of viruses such as hepatitis B and even colds.
It makes this study very exciting.
Identifying the math that allows the virus to form an envelope can be disturbing. If there is no outer wall, there is no virus. There is no virus and no infection..
Was it discovered or invented?
Beyond the realm of human senses, the universe seems to somehow know mathematics.
really It is amazing how often this pattern appears.. They are in plants, even in marine life, and even in viruses.
- Math … do we invent them or discover them? Unresolved Millennium Discussion
And every time we use the math we have, we add things we can explore and use.
All this weighs on the idea that there is a natural order to maintain the world around us and that we do nothing but discover math.
But perhaps we were looking for a pattern in the wrong place..
If everything is in our heads, it can be a good place to see the brain.
next week : Is there evidence? In the brain The math Human mind?
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